A 25.0 mL sample of 0.100 M NH3 (Kb = 1.8 · 10-5) is titrated with 0.100 M HCI. What is the pH at the equivalence point? Report your answer to two decimal places ____. Which of the following indicators would have the closest end point color change for the previous titration? a) Methyl red b) All of these indicators would be fine. c) Alizarin Yellow R d) Cresol red e) Bromthymol blue

Answers

Answer 1

The pH at the equivalence point of the titration is 7.00. The closest indicator for this titration is Bromthymol blue. The correct option is e)

The titration of a weak base (NH3) with a strong acid (HCl) results in the formation of its conjugate acid (NH4+) and chloride ions (Cl-). The equivalence point is reached when the number of moles of acid added is equal to the number of moles of base initially present in the solution. At this point, all the NH3 has been converted to NH4+ and the solution contains only NH4+ and Cl- ions.

Since NH4+ is the conjugate acid of a weak base, it is a weak acid and undergoes hydrolysis in water. The resulting solution is acidic, and the pH at the equivalence point is 7.00, which is the pH of a neutral solution.

Bromthymol blue is a pH indicator that changes color over a range of pH values from 6.0 to 7.6. At the equivalence point of this titration, the pH is 7.00, which falls within the range of the color change of bromthymol blue. Therefore, bromthymol blue would be the closest indicator for this titration.

Hence, the pH is 7.00 and the closest indicator is Bromthymol blue, which is option e).

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Related Questions

Select the net ionic equation for the reaction between sodium chloride and mercury(I) nitrate. Balanced equation: 2NaCl(aq) + Hg2(NO3)2(aq) → 2NaNO3(aq) + Hg2Cl2(s). A) Hg2(NO3)2(aq) → H922*(aq) + 2NO3(aq) B) Hg22+(aq) → Hg2(s) C) NaCl(aq) Na+ (aq) + Cr(aq) D) Hg22+(aq) + 2CH(aq) – Hg2Cl2(s) E) Na+ (aq) + NO3(aq) — NaNO3(aq)

Answers

The net ionic equation for the reaction between sodium chloride and mercury(I) nitrate is (option D) Hg22+(aq) + 2CH(aq) – Hg2Cl2(s).

A net ionic equation shows only the chemical species that are involved in the reaction and excludes spectator ions, which are ions that do not participate in the reaction. In this case, the spectator ions are Na+ and NO3-.

The balanced equation for the reaction shows that 2Na+ ions from NaCl combine with 2NO3- ions from Hg2(NO3)2 to form 2NaNO3 molecules, leaving behind the precipitate Hg2Cl2. The net ionic equation for this reaction therefore only shows the relevant chemical species involved in the formation of Hg2Cl2, which are Hg22+ and Cl-. Answer is option D.

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A solution is made by dissolving 1 g of hydrogen chloride in 1 dm³ of water. Which is the correct description of this solution"> Tick () one box. A concentrated solution of a strong acid A concentrated solution of a weak acid A dilute solution of a strong acid A dilute Solution of a weak acid

Answers

Answer: A concentrated solution of a strong acid

Explanation: The definition of a concentrated solution is one in which there is a large amount of solute relative to the solvent. In this case, there is 1 g of hydrogen chloride dissolved in 1 dm³ of water, meaning that it is a concentrated solution. Additionally, because hydrogen chloride is a strong acid, the entire molecule will dissociate into ions when added to water.

how does activation energy affect the process of a reaction

Answers

Answer:

The activation energy increases how quickly the reaction will  progress.

Explanation:

The activation energy of a chemical reaction is intimately linked to its rate. Particularly, the greater the activation energy, the slower the chemical reaction will be. The reason is: molecules can only finish the reaction as soon as they have reached the peak of the activation energy barrier. Many reactions possess such huge activation energies that they practically don't advance at all without an input of energy.

The activation energy of a particular reaction determines the rate at which it will proceed. The higher the activation energy, the slower the chemical reaction will be.

Alculate the mean free path and the binary number of collisions per liter per second between hi molecules at 300 k and 1. 00 atm. The collision diameter of?

Answers

The mean free path between HI molecules at 300 K and 1.00 atm is approximately X units, and the binary number of collisions per liter per second is approximately Y.

In a gas, molecules are constantly moving and colliding with each other. The mean free path refers to the average distance a molecule travels between successive collisions. To calculate it, we need to consider the properties of the gas and its conditions.

At 300 K and 1.00 atm, we can assume the gas follows the ideal gas law. The collision diameter, represented by σ, is a measure of the effective size of the molecules. It plays a crucial role in determining the mean free path.

The mean free path (λ) can be calculated using the following formula:

λ = (1 / (√2) * (π * σ^2 * N)) / (π * d^2)

where N is the Avogadro's number and d is the number density of the gas.

To determine the binary number of collisions per liter per second, we need to consider the mean free path and the average speed of the molecules. The binary collision rate (Z) is given by:

Z = (n * v * σ)

where n is the number density of the gas and v is the average speed of the molecules.

By plugging in the appropriate values for the given conditions, we can calculate the mean free path and the binary collision rate. These values provide insight into the molecular behavior of the HI gas at the specified temperature and pressure.

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Using tabulated values from the textbook Resource section or the chemlibre links, calculate the standard reaction entropy of N2(g) + 3 H2(g) → 2 NH3(g). (3 sig figs, units of J/K/mol)

Answers

The standard reaction entropy of N2(g) + 3 H2(g) → 2 NH3(g) is -196.3 J/K·mol.

What do you mean by standard reaction entropy?

Standard reaction entropy (ΔS°) is a measure of the disorder or randomness of a chemical reaction at a constant temperature and pressure. It is defined as the change in the entropy of the system when a reaction occurs under standard conditions. The standard state for a substance is its pure form at a pressure of 1 bar and a temperature of 25°C (298 K).

The standard reaction entropy (ΔS°) of a reaction can be calculated using the standard molar entropies (S°) of the reactants and products. The formula to calculate the standard reaction entropy is:

ΔS° = ΣS° (products) - ΣS° (reactants)

To calculate the standard reaction entropy for the reaction: N2(g) + 3 H2(g) → 2 NH3(g)

S° (N2) = 191.8 J/K·mol

S° (H2) = 130.6 J/K·mol

S° (NH3) = 192.5 J/K·mol

ΔS° = [2(S° (NH3)) - (S° (N2) + 3(S° (H2))]

ΔS° = [2(192.5) - (191.8 + 3(130.6))] J/K·mol

ΔS° = -196.3 J/K·mol

Hence, the standard reaction entropy of N2(g) + 3 H2(g) → 2 NH3(g) is -196.3 J/K·mol.

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a remote control toy jet fighter has a mass of 5 kg and can travel up to 60 m/s. what is the kinetic energy of the toy jet fighter at this speed?

Answers

Answer:

9000J

Explanation:

Given parameters:

Mass of the jet fighter  = 5kg

Velocity  = 60m/s

Unknown:

Kinetic energy of the jet fighter  = ?

Solution:

The kinetic energy of a body is the energy due to motion of the body.

It is mathematically expressed as;

    K.E  = \(\frac{1}{2}\) m v²

m is the mass

v is the velocity

 So;

     K.E  =  \(\frac{1}{2}\)  x 5 x 60²  = 9000J

which of the following transitions within an atom is not possible? group of answer choices an electron begins in an excited state and then gains enough energy to jump to the ground state. an electron begins in the ground state and then gains enough energy to jump to an excited state. an electron begins in the ground state and then gains enough energy to become ionized. an electron begins in an excited state and then gains enough energy to become ionized.

Answers

The transition within an atom that is not possible is an electron begins in an excited state and then gains enough energy to become ionized. Option D is correct.

An excited electron already has excess energy above its ground state energy level. If it gains more energy, it can transition to a higher energy level or even become ionized by being ejected from the atom. However, an electron that has already been excited and has reached its highest energy level cannot gain any more energy from the atom and therefore cannot be ionized further.

Once an electron is in its highest energy level, it is said to be in the ionization continuum and cannot be further excited or ionized by the atom. Therefore, the transition of an electron beginning in an excited state and then gaining enough energy to become ionized is not possible. On the other hand, the other three transitions listed are possible and occur naturally in many physical and chemical processes, such as atomic emission and absorption spectra. Option D is correct.

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Cassiterite is an ore of a metal tin. What is an ore?

Answers

Answer:

Cassiterite is an ore of Sn.It is also called tinstone and has molecular formula of SnO

2 . It is heavy, metallic, hard tin dioxide that is the major ore of tin. It is colourless when pure, but brown or black when iron impurities are present.

An element cannot ________. a be part of a homogeneous mixture b be a pure substance c interact with other elements to form compounds d be part of a heterogeneous mixture e be separated into other substances by chemical means

Answers

Answer:

b be a pure substance

Explanation:

The Periodic Table of elements is arranged by:
O atomic mass
O number of neutrons
O number of electrons
O atomic number

Answers

Answer:

atomic number

Explanation:

Answer:

number of electrons and number of neutrons

Using the provided table and the equation below, determine the heat of formation for PbS. 2 PbS (s) + 3 O₂ (g) → 2 SO₂ (g) + 2 PbO (s) ∆H° = -828.4 kJ/molO2 = OSO2 = -296.9PbO = -217.3

Answers

The heat of formation of PbS is -234.6 kJ/mol.

We can use Hess's law to solve for the heat of formation of PbS:

PbO (s) + SO₂ (g) → PbSO₃ (s) ∆H₁°

2 PbSO₃ (s) → 2 PbS (s) + 2 SO₂ (g) + O₂ (g) ∆H₂° = -828.4 kJ/mol

To cancel out SO₂, we reverse the first reaction and multiply it by 2:

2 PbSO₃ (s) → 2 PbO (s) + 2 SO₂ (g) + O₂ (g) ∆H₁° = -2(OSO2) - O₂

Adding the two reactions together, we get:

2 PbS (s) + 3 O₂ (g) → 2 SO₂ (g) + 2 PbO (s) ∆H° = -828.4 kJ/mol

2 PbSO₃ (s) → 2 PbO (s) + 2 SO₂ (g) + O₂ (g) ∆H₁° = -2(OSO2) - O₂

2 PbS (s) → 2 PbSO₃ (s) ∆H = -828.4 - (-2(OSO2) - O₂) = -828.4 + 593.8 = -234.6 kJ/mol

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what hydrogen/signal in the product structure/nmr is strongly indicative that you successfully reduced the imine to the amine?

Answers

When an imine is reduced to an amine, a hydrogen signal is observed in the nuclear magnetic resonance (NMR) spectrum that is indicative of the newly formed amine group.

Specifically, a broad singlet peak is typically observed in the NMR spectrum at around 2-3 ppm, which corresponds to the protons attached to the nitrogen atom in the amine.

This peak is distinct from the peak observed for the protons attached to the carbon atoms in the molecule, which typically appear as sharp peaks at around 0-2 ppm in the NMR spectrum.

Additionally, the chemical shift of the amine proton peak is typically lower than that of the imine proton peak, which is typically observed at around 6-8 ppm in the NMR spectrum.

Therefore, the presence of a broad singlet peak at around 2-3 ppm in the NMR spectrum is strongly indicative that the imine has been successfully reduced to the amine.

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Un gas ocupa un volumen de 358L a 152°C y 470 mmHg ¿Qué volumen ocupara el gas, si la temperatura aumente a 500 K y 6 atm?

Answers

Answer:

42 L

Explanation:

de los parámetros en la pregunta;

V1 = 358L

T1 = 152 ° C + 273 = 425 K

P1 = 470 mmHg × 1 atm / 760 mmHg = 0.6atm

V2 =?

P2 = 6 atmósferas

T2 = 500 K

P1V1 / T1 = P2V2 / T2

P1V1T2 = P2V2T1

V2 = P1V1T2 / P2T1

V2 = 0,6 × 358 × 500/6 × 425

V2 = 107400/2550

V2 = 42 L

How many moles of kno3 are in 500.0 ml of 2.0 m kno3? mol kno3

Answers

Answer:

1mole

Explanation:

The concentration of a substance is the amount of the solute present in a given quantity of solution. It is the number of moles of the solute in 1 L of the solution. Here the number of moles is 4.

What is a mole?

One mole of a substance is defined as that quantity of it which contains as many entities as there are atoms exactly in 12 g of carbon - 12. The formula used to calculate the number of moles is:

Number of moles = Given mass / Molar mass

The equation connecting concentration, volume and the number of moles is:

n = C / V

n = Number of moles

C = Concentration

V = Volume

1L = 1000 mL

500 mL = 0.5 L

n = 2.0 / 0.5 = 4

Thus the number of moles is 4.

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Which diagram is correct

Which diagram is correct

Answers

Answer:

The answer to the question is option D

nitroglycerin is a dangerous powerful explosive that violently decomposes when it is shaken or dropped. the swedish chemist alfred nobel (1833-1896) founded the nobel prizes with a fortune he made by inventing dynamite, a mixture of nitroglycerin and inert ingredients that was safe to handle.

Answers

Nitroglycerin is indeed a dangerous and powerful explosive that violently decomposes when it is shaken or dropped.  The Nobel Prizes, established by Nobel's will, are prestigious international awards given annually in recognition of outstanding achievements in various fields.

Nitroglycerin is an extremely hazardous and potent explosive that undergoes violent decomposition when subjected to physical shock, such as shaking or dropping. This breakthrough allowed for controlled explosions and enhanced the efficiency and safety of construction projects. In his will, Nobel designated the establishment of the Nobel Prizes, which are internationally recognized awards presented annually in recognition of extraordinary achievements in various fields, including physics, chemistry, medicine, literature, and peace. Through his contributions, Nobel left a lasting impact on both science and humanitarian efforts.

Nitroglycerin, a highly dangerous and potent explosive, undergoes violent decomposition when exposed to physical shock. This hazardous substance was utilized by the Swedish chemist Alfred Nobel, who established the Nobel Prizes. Nobel's invention, dynamite, consisted of a mixture containing nitroglycerin and inert ingredients. Controlled explosions became possible, significantly improving the efficiency and safety of construction projects. Nobel's success and wealth from dynamite led him to establish the Nobel Prizes through his will. These prestigious awards are presented annually, recognizing exceptional achievements in various fields, such as physics, chemistry, medicine, literature, and peace. Nobel's contributions had a lasting impact on both scientific advancements and humanitarian endeavors.

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CH2=CH-CH=C=CH-CH3
Como se llama?

Answers

We need the structure (Refer to the attachment)

CH2=CH-CH=C=CH-CH3Como se llama?

If these students repeated their experiment usin a longer table what difference would they observe? Explain your answer

Answers

If they used a longer table they would have more data to look at to get there answer

Why do you think we need to study science in school?

Answers

Answer:

I think we should study science in school becuase it will help us to undertsand the world more. Our knowledge as humans have progressed due to science research; at one time we didn't know how trees produce oxygen.

Explanation:

After watching the 2nd video, select the correct results to fill in the chart below:

what am I doing wrong

After watching the 2nd video, select the correct results to fill in the chart below: what am I doing

Answers

KI - Ionic compound, KCl -Ionic compound,

C₆H₁₂O₆ - Covalent compound, C₆H₄Cl₂ - Covalent compound,  

KNO₃ - Ionic compound, C₆H₅COOH - Covalent compound

CH₃COOH - Covalent compound, Paraffin wax - Covalent compound

HCl - Covalent compound

What are ionic and covalent compounds?

Ionic compounds are formed from the interaction between cation ions and anions. A cation of an atom can be described as an electropositive ion and can donate valence electrons. Similarly, anions of an atom are electronegative ions and can accept electrons.

In an ionic compound, there is a complete transfer of electrons in the formation of an ionic bond, therefore, there exists an electrostatic force of attraction between the ions that forms a strong bond.

In a covalent compound, there is the mutual sharing of electrons in the covalent bonds. The shared electrons are hard to give away as nuclei of two atoms together share the electrons and create a bond stronger.

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BE FIRST TO ANSWER PLEASEEE ASAP! :D

BE FIRST TO ANSWER PLEASEEE ASAP! :D

Answers

Answer:

I want to say E or B

Explanation:

starting with 100 carbon-14 atoms,  how many would you expect to have after three half-lifes?

Answers

The 0.125 of original atoms are remaining after 3 half cycles

Half life of a radioactive element is the time in which its radioactive atoms reduce to half of its original value.

It is given that we have three half lives after which number of  carbon atoms is to be found

After one half cycle, the number of carbon-14 atoms remaining will be 1/2 or 0.5

After the second half cycle , the number carbon 14 atoms remaining will be 1/2 of 1/2 which is equal to 1/4 or 0.25

After the third half cycle number of carbon-14 atoms remaining will be

1/2 of 1/4 which is 1/8 or 0.125

This can be easily found out using the formula of number of half cycles as \((1/2)^{n}\)

where n is the number of half cycles after which number is to be found

Hence 0.125 of original atoms are remaining after 3 half cycles

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Part A
Calculate the heat of atomization of C2HCl5 , using the average bond energies in the following table:
Bond Bond energy (kJ/mol)
C−C 347
C=C 611
C≡C 837
H−C 414
C−Cl 339
H−Cl 431
Express your answer to four significant figures and include the appropriate units. Answer in deminisions of Enthapy

Answers

To calculate the heat of atomization of C2HCl5, we need to break all the bonds in the molecule and convert it into individual atoms. The bond energies given in the table are the energies required to break the respective bonds.

C2HCl5 can be written as:

C-C-C-C-C
|   |   |
Cl  Cl  Cl

The total bond energies required to break all the bonds in C2HCl5 are:

5 x C-C = 5 x 347 kJ/mol = 1735 kJ/mol
2 x C-Cl = 2 x 339 kJ/mol = 678 kJ/mol
1 x C=C = 1 x 611 kJ/mol = 611 kJ/mol
Total bond energy = 3024 kJ/mol

The heat of atomization is defined as the enthalpy change for the conversion of one mole of a substance in its standard state into its constituent atoms in the gas phase. Since C2HCl5 is not in its standard state (which is the most stable state of the substance at 25°C and 1 atm pressure), we need to correct for the enthalpy of formation of C2HCl5. The enthalpy of formation of C2HCl5 is -318.8 kJ/mol.

Therefore, the heat of atomization of C2HCl5 can be calculated as:

Heat of atomization = Total bond energy + Enthalpy of formation
Heat of atomization = 3024 kJ/mol + (-318.8 kJ/mol)
Heat of atomization = 2705.2 kJ/mol

Therefore, the heat of atomization of C2HCl5 is 2705.2 kJ/mol, expressed in dimensions of enthalpy.

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1. what is the measure of the total energy radiated by a star in
one second called?
a. flux
b. luminosity
c. apparent magnitude
d. absolute magnitude

Answers

B. Luminosity
The only way scientists can measure a sun at this point of time is through how bright it is

The measure of the total energy radiated by a star in one second is called luminosity.

Luminosity represents the intrinsic brightness of a star and is a measure of the total power output in terms of energy. It is an important characteristic of a star that indicates its size and temperature.

Luminosity is typically expressed in units of watts or solar luminosities (the luminosity of our Sun). Flux, on the other hand, refers to the amount of energy received per unit area per unit time, and it is influenced by the distance between the star and the observer. Apparent magnitude and absolute magnitude are measures of a star's brightness as observed from Earth and at a standard distance, respectively, and they are related to luminosity but not the direct measure of energy radiated.

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How many calories (units of heat energy) per serving is an 18 pound deep fried turkey?

Answers

Answer:

245

Explanation:

BECAUSE THERE ENERGY THEY GIVES THE IMPRESSION OF THE TURKISH

1) How are hydrogens removed from polyprotic acids? a. How does this relate to the Ka of these same species? b. What is the relationship between Ka and Kbvalues? (How can you determine Ka knowing Kb?)

Answers

Hydrogens are removed from polyprotic acids through a stepwise dissociation process. Each hydrogen ion (H+) removed one at a time, resulting in formation of successive conjugate bases.

Strength of acid decreases with each removal of a hydrogen ion. The Ka (acid dissociation constant) of a polyprotic acid represents the equilibrium constant for the dissociation of the first hydrogen ion. The Ka value is related to the acidity of the acid. As the Ka value increases, the acid is stronger and more likely to donate its hydrogen ion. In the case of polyprotic acids, the Ka value decreases with each successive dissociation of a hydrogen ion. This is because the dissociation of subsequent hydrogen ions becomes progressively more difficult as the acid loses its positive charge and the electron density on the remaining oxygen atoms decreases.

The Kb (base dissociation constant) values are related to the Kb values of the conjugate bases of the polyprotic acids. The relationship between Ka and Kb is defined by the equation Ka x Kb = Kw, where Kw is the ion product of water. Knowing the Kb value of the conjugate base, one can determine the Ka value of the corresponding acid by using this equation. The relationship between Ka and Kb values reflects the principle of equilibrium. In an acid-base reaction, the equilibrium constant for the forward reaction (Ka) is inversely proportional to the equilibrium constant for the reverse reaction (Kb). Therefore, if the Kb value of a conjugate base is known, one can calculate the Ka value of the acid by using the equation Ka = Kw / Kb.

Overall, the relationship between Ka, Kb, and the stepwise dissociation of polyprotic acids provides insights into the acidity of the acid, the strength of its conjugate base, and the equilibrium between the acid and its conjugate base.

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what is the answer PLEASE HELP!!

what is the answer PLEASE HELP!!

Answers

Answer:

the water displaced will not help the student find the correct volume because you can not accurately calculate it. you have to get the water when it is settled then you place the wood in.

Explanation:

select true or false: an electron loses energy in the transition from a 4f subshell to a 6s subshell. group startstrue or falsetrueunselected button,correctunavailablefalseselected button,incorrectunavailablegroup ends

Answers

True, an electron loses energy in the transition from a 4f subshell to a 6s subshell

Orbitals of lower energies fill up first. The pattern of filling is 1s, 2s, 2p, 3s, 3p, 4s, 3d, etc. An full subshell of a specific orbital type must be filled before going on to the next subshell with a higher energy level since all of the orbitals inside a subshell are degenerate (of equal energy).

The orbitals are filled in accordance with the (n+1) rule, which states that even if an orbit's n value is greater, the orbits with a higher (n+1) value will be filled first.

Here, the (n+1) of the 6s orbital is 6, whereas the (n+1) of the 4f orbital is 7, filling the 4f orbital before the 6s orbital.

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A TV has a standby current of 0.05 amperes. The voltage going through the TV is 120 volts. Determine the power consumption while the TV is in standby.

Answers

Answer:

6 Watts

Explanation:

From the question given above, the following data were obtained:

Current (I) = 0.05 A

Voltage (V) = 120 V

Power (P) =?

Electrical power is defined by the following equation

The power consumption while the TV is in standby can be obtained as follow:

Power (P) = Current (I) × Voltage (V)

P = IV

With the above formula, we can obtain the power consumption while the TV is in standby. This can be obtained as follow:

Current (I) = 0.05 A

Voltage (V) = 120 V

Power (P) =?

P = IV

P = 0.05 × 120

P = 6 Watts

Therefore, the power consumption while the TV is in standby is 6 Watts.

What volume of a 2.60 M HCl solution should you use to prepare 2.80 L of a 0.200 M HCl solution

Answers

Answer:

0.215 L HCl

Explanation:

Using the relationship (M1 x V1 = M2 x V2) between Molarity (M) and Volume (v or L), we can find the volume of the 2nd volume amount.

First we rearrange our relationship equation to: \(V_2 = \frac{M_1 * V_1 }{M_2}\)

Now, plug in the values. \(V_2 = \frac{0.2 * 2.8}{2.6}\)

Calculating these values, we end up with the answer:

0.215 L HCl

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At the beginning of the french and indian war, what colony claimed most of the territory in the ohio river valley? The wavelengths of the visible spectrum are approximately 400 nm (violet) through 700 nm (red). Determine the angular width of the second-order visible spectrum that is produced by a plane grating with 600 lines per millimeter. ANNIE: Mr. Anagnos.(Her voice is trembling.)Dear Mr. Anagnos, I(But she swallows over getting the ring on her finger, and cannot continue until she finds a woebegone joke.)Well, what should I say, Im an ignorant opinionated girl, and everything I am I owe to you?ANAGNOS [SMILES]: That is only half true, Annie.ANNIE: Which half? . . . This place gave me more than my eyes back. Or taught me how to spell, which Ill never learn anyway, but with all the fights and the trouble Ive been here it taught me what help is, and how to live again, and I dont want to say goodbye. Dont open the door, Im crying.ANAGNOS [GENTLY]: They will not see.Which tone would be most appropriate for a text trailer that includes this scene?playfulformalsorrowfulmysteriousANNIE: Mr. Anagnos.(Her voice is trembling.)Dear Mr. Anagnos, I(But she swallows over getting the ring on her finger, and cannot continue until she finds a woebegone joke.)Well, what should I say, Im an ignorant opinionated girl, and everything I am I owe to you?ANAGNOS [SMILES]: That is only half true, Annie.ANNIE: Which half? . . . This place gave me more than my eyes back. Or taught me how to spell, which Ill never learn anyway, but with all the fights and the trouble Ive been here it taught me what help is, and how to live again, and I dont want to say goodbye. Dont open the door, Im crying.ANAGNOS [GENTLY]: They will not see.Which tone would be most appropriate for a text trailer that includes this scene?playfulformalsorrowfulmysteriousANNIE: Mr. Anagnos.(Her voice is trembling.)Dear Mr. Anagnos, I(But she swallows over getting the ring on her finger, and cannot continue until she finds a woebegone joke.)Well, what should I say, Im an ignorant opinionated girl, and everything I am I owe to you?ANAGNOS [SMILES]: That is only half true, Annie.ANNIE: Which half? . . . This place gave me more than my eyes back. Or taught me how to spell, which Ill never learn anyway, but with all the fights and the trouble Ive been here it taught me what help is, and how to live again, and I dont want to say goodbye. Dont open the door, Im crying.ANAGNOS [GENTLY]: They will not see.Which tone would be most appropriate for a text trailer that includes this scene?playfulformalsorrowfulmysterious The orbital motion of a deep water wave extends to a depth equal to. 1. XVR =2. RVS =3. WVS =4. RST =5. RSV =6. VSU =7. UST =8. TUS = ITS BEEN MORE THAN 48 HRS SINCE I HAVE FIRST TIME POSTING THIS MUTILPE TIMES, PLEASE HEP :((((!!!!!!!!!!!!!!!!!!!!!Find the area of the circle. Give your answer to two decimal places. SHOW YOUR WORK so I can see if the answer makes sense! How many hundreds are in 200 + 10 + 6 are words, phrases, or sentences that link ideas.Topic sentencesO DraftsO TransitionsO Revisions Un camin viaja en una carretera recta con un valor de velocidad de 100km/h y frena con una aceleracin constante de valor numrico de 2.27m/s. Cunto viajo antes de detenerse? The radius r of a sphere is increasing at a rate of 5 inches per minute. (a) Find the rate of change of the volume when r=12 inches. in^3/min (b) Find the rate of change of the volume when r=34 inches.in^3/min When things are traded in a market, or embedded in government tax statistics, they are relatively easy to measure. Many of our measurement difficulties arise precisely because some of the most valuable things are not easily measurable. GDP easily captures the output of washing machines, but not of happiness, health or environmental depreciation. Since we do not buy and sell clean air or moderate temperatures in a marketplace, governments are not automatically collecting statistics for use in national accounts data. The United Nations Human Development Index systematically tries to measure three broad dimensions of economic development - health, education and material standard of living - and produces annual statistics for all UN member countries. The map below shows the geographic range of outcomes - no prizes for guessing which colours represent prosperity and which represent poverty as measured by the Human Development Index. Health is crudely captured by life expectancy at birth, education by the proportion of the children enrolled at school and by the proportion of adults who can read, and material standard of living by per capita GDP. Some of these indicators are more stable than others. For example, before the financial crash, Iceland came top in the world in the UN measure, and Sierra Leone bottom. But Iceland's banks experienced the biggest crash of all, and the Icelandic economy got into serious trouble. This did not immediately affect its adult literacy or the life expectancy of its population, but these will gradually suffer unless economic prosperity can be restored. Like sausages, economic statistics simply reflect what you put into them. If you care about democracy, equality or environmental sustainability, don't get hung up merely because your country is not doing well on the particular things that GDP does measure. People who visit France quickly learn that the French have a good quality of life, better than you would expect simply by looking at their GDP. They enjoy a nice climate, long lunches, access to Mediterranean beaches and little congestion since they have plenty of land in relation to their population. They also retire at a relatively young age and, having long life expectancy, spend plenty of happy years in retirement. Their GDP statistics are measuring production of Renault and Peugeot, and of luxuries from Louis Vuitton and Herms, but omit plentiful leisure, lack of stress and little congestion. Similarly, the output of the police, civil service and teachers in schools is not charged for in the market and hence not automatically valued by the market. How do we measure the output of the police? Typically, national income statisticians measure the inputs (the wage bill of police forces, rent of police stations, the cost of using police cars and police computers). This is a large step in the right direction but it is far from perfect. If society becomes more unlawful, we end up choosing to have more police to counter crime. So GDP rises because we are spending more on the police force. But in reality, people are feeling less happy with the greater prevalence of crime, and resent having to 'waste' more resources on additional policing in order to counter the crime wave. Conversely, when we cut back the size of the army, GDP falls since less is being spent on the military, but we are actually receiving less defence as a consequence. Think of all this as a health warning on GNP and GDP statistics. They measure what they measure. Unless and until electorates want to spend a lot more money collecting more comprehensive statistics, GNP and GDP will use data already being collected annually for other purposes such as taxation. Questions 1. Outline the main problems associated with determining national output (Gross Domestic Product, GDP). 2. Why is the United Nations Human Development Index often used? Prokter and Gramble (PKGR) has historically maintained a debt-equity ratio of approximately 0.22. Its current stock price is $54 per share, with 2.2 billion shares outstanding. The firm enjoys very stable demand for its products, and consequently it has a low equity beta of 0.55 and can borrow at 3.9%, just 20 basis points over the risk-free rate of 3.7%. The expected return of the market is 10.5%, and PKGR's tax rate is 27%. a. This year, PKGR is expected to have free cash flows of $5.9 billion. What constant expected growth rate of free cash flow is consistent with its current stock price? b. PKGR believes it can increase debt without any serious risk of distress or other costs. With a higher debt-equity ratio of 0.55, it believes its borrowing costs will rise only slightly to 4.2%. If PKGR announces that it will raise its debt-equity ratio to 0.55 through a leveraged recap, determine the increase or decrease in the stock price that would result from the anticipated tax savings. a. This year, PKGR is expected to have free cash flows of $5.9 billion. What constant expected growth rate of free cash flow is consistent with its current stock price? The constant expected growth rate of free cash flow is consistent with its current stock price is \%. (Round to two decimal places.) Evaluate 3x for x = -2, x = 1, and x = 3. What happens as a result of convection currents in the earth's mantals