A sample of He has volume of 4.40 L at 555 torr and 33.0 C. Find the new pressure if the volume decreases to 3.50 L and the temperature increases to 44.0 C.
723 torr
504 torr
800. torr
612 torr

Answers

Answer 1

Answer:

723 torr

Explanation:

Using the formula;

P1V1/T1 = P2V2/T2

Where;

P1 = initial pressure (torr)

V1 = initial volume (Litres)

T1 = initial temperature (°C)

P2 = final pressure (torr)

V2 = final volume (L)

T2 = final temperature (°C)

Based on the information provided in this question, V1 = 4.40L, P1 = 555 torr, T1 = 33.0 °C + 273 = 306K, V2 = 3.50 L, P2 = ?, T2 = 44.0 °C + 273 = 317K.

Using the formula above:

555 × 4.4/306 = P2 × 3.5/317

2442/306 = 3.5P2/317

Cross multiply;

2442 × 317 = 306 × 3.5P2

774114 = 1071 P2

P2 = 774114 ÷ 1071

P2 = 722.79

P2 = 723 Torr


Related Questions

What is the energy of a photon emitted with a wavelength of 448 nm?

Answers

According to the Planck-Einstein relation, the energy of a photon emitted with a wavelength of 448 nm is 4.44 × 10⁻¹⁹ J.

What is a photon?

A photon is a particle representing a quantum of light or other electromagnetic radiation. A photon carries energy proportional to the radiation frequency but has zero rest mass.

Step 1. Calculate the frequency of the photon.

A photon is emitted with a wavelength (λ) of 448 nm. Given the speed of light (c) is 3.00 × 10⁸ m/s, we can calculate the frequency (ν) of the photon using the following expression.

ν = c/λ

ν = (3.00 × 10⁸ m/s ) / (4.48 × 10⁻⁷ m) = 6.70 × 10¹⁴ s⁻¹

Step 2. Calculate the energy (E) of the photon.

We will use the Planck-Einstein relation, being Planck's constant h = 6.63 × 10⁻³⁴ J.s.

E = h × ν

E = (6.63 × 10⁻³⁴ J.s) × (6.70 × 10¹⁴ s⁻¹) = 4.44 × 10⁻¹⁹ J

According to the Planck-Einstein relation, the energy of a photon emitted with a wavelength of 448 nm is 4.44 × 10⁻¹⁹ J.

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Draw the molecular shapes and predict the bond angles for the following:a. PF3b. COCl2c. CS2d. PbCl2e. CBr4f. SF2

Answers

a. PF₃: bond angle - 107 degrees ; b. COCl₂: bond angle - 117 degrees ; c. CS₂: bond angle- 180 degrees ; d. PbCl₂: bond angle -180 degrees ; e. CBr₄: bond angle - 109.5 degrees; f. SF₂:  bond angle -98 degrees.

a. PF₃:

Phosphorus (P) is the central atom with three Fluorine (F) atoms attached to it. To determine the shape, we need to first determine the number of electron pairs around the central atom. In this case, there are four electron pairs around P, three from the F atoms and one from the lone pair on P.

The electron pairs will arrange themselves in a trigonal pyramidal shape, with the three F atoms at the corners of the base and the lone pair at the top. This shape has a bond angle of approximately 107 degrees.

b. COCl₂:

Carbon (C) is the central atom with two Oxygen (O) atoms and one Chlorine (Cl) atom attached to it. Again, we need to determine the number of electron pairs around C. In this case, there are three electron pairs around C, two from the O atoms and one from the Cl atom.

The electron pairs will arrange themselves in a bent shape, with the Cl atom at the bottom and the two O atoms above it. This shape has a bond angle of approximately 117 degrees.

c. CS₂:

Carbon (C) is the central atom with two Sulfur (S) atoms attached to it. Once again, we need to determine the number of electron pairs around C. In this case, there are two electron pairs around C, both from the S atoms.

The electron pairs will arrange themselves in a linear shape, with the two S atoms on either side of C. This shape has a bond angle of 180 degrees.

d. PbCl₂:

Lead (Pb) is the central atom with two Chlorine (Cl) atoms attached to it. To determine the shape, we need to once again determine the number of electron pairs around Pb. In this case, there are two electron pairs around Pb, both from the Cl atoms.

The electron pairs will arrange themselves in a linear shape, with the two Cl atoms on either side of Pb. This shape has a bond angle of 180 degrees.

e. CBr₄:

Carbon (C) is the central atom with four Bromine (Br) atoms attached to it. To determine the shape, we need to determine the number of electron pairs around C. In this case, there are five electron pairs around C, four from the Br atoms and one from the lone pair on C.

The electron pairs will arrange themselves in a tetrahedral shape, with the four Br atoms at the corners and the lone pair at the top. This shape has a bond angle of approximately 109.5 degrees.

f. SF₂:

Sulfur (S) is the central atom with two Fluorine (F) atoms attached to it. To determine the shape, we need to determine the number of electron pairs around S. In this case, there are three electron pairs around S, two from the F atoms and one from the lone pair on S.

The electron pairs will arrange themselves in a bent shape, with the two F atoms at the bottom and the lone pair above them. This shape has a bond angle of approximately 98 degrees.

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If the velocity of a bicycle is 10m/s,how long will it take to cover a distance of 18km?​

Answers

Answer:

t = 1800 s

Explanation:

Given data:

Velocity of bicycle = 10 m/s

Distance cover = 18 Km

Time taken = ?

Solution:

Distance cover = 18 Km (18km×1000m/1km=18000 m)

Formula:

Velocity = distance/ time

by putting values,

10 m/s = 18000 m/ t

t =  18000 m/ 10 m/s

t = 1800 s

The three nuclides, U-233, U-235, and U-238, are isotopes of uranium because they have the same number of protons per atom and A) the same number of neutrons per atom B) a different number of electrons per atom C) a different number of neutrons per atom D) the same number of electrons per atom

Answers

Answer:

The correct answer is - C) a different number of neutrons per atom.

Explanation:

Isotopes of an element are the same element and same atomic number but with different atomic mass and physical properties. The difference in their atomic mass occurs due to isotopes of an element have a different number of neutrons per atom.

The number of protons and the numbers of electrons are the same in the isotopes but only change occurs in the numbers of the neutrons. In isotopes of uranium U-233, U-235, and U-238 have the same number of protons but a different number of neutrons per atom.

The three nuclides U-233, U-235, and U-238 are isotopes because they have a different numbers of neutrons. Thus, option C is correct.

Isotopes of an element can be defined as the elements with the same atomic number but different mass numbers. The atomic number can be defined as the number of electrons of an atom.

The isotopes of Uranium thus have the same number of electrons. Thus option B is incorrect.

Statement D is correct but is not the characteristic property to differentiate an isotope. Thus, option D is incorrect.

The mass number can be defined as the sum of the number of protons and neutrons. The number of electrons and protons is equal in an atom.

Thus in an isotope, the number of protons will be the same per atom.

The number of neutrons in an atom has been different per atom. Thus, option A is incorrect. Option C is correct.

Thus the three nuclides U-233, U-235, and U-238 are isotopes because they have a different numbers of neutrons. Thus, option C is correct.

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What is a stimulus?(2 points)
A form of energy that causes a change
A tool to measure the amount of water in the air
A type of force that causes objects to move
An action or event that cau

Answers

Stimulus is an action or event that causes a reaction or response in an organism or system. Option D is correct.

A stimulus is an action or event that triggers a reaction or response in an organism or system. In other words, a stimulus is any change in the environment that an organism or system can detect and respond to.

For example, the sound of a loud noise is a stimulus that can cause an organism to startle or run away. A sudden bright light can be a stimulus that causes a person to blink or shield their eyes.

Stimuli can be internal or external, and they can be physical, chemical, or biological in nature. Some examples of internal stimuli include hunger, thirst, and pain, while external stimuli include temperature changes, odors, and sounds.

The ability to detect and respond to stimuli is critical for the survival of organisms, as it enables them to adapt and respond to changing environmental conditions.

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correct form of question would be

What is a stimulus?(2 points)

A. A form of energy that causes a change

B. A tool to measure the amount of water in the air

C. A type of force that causes objects to move

D. An action or event that causes a reaction or response in an organism or system.

A compound ‘X’ is used for drinking, has pH =7.Its acidified solution undergoes decomposition in presence of electricity to produce gases ‘Y’ and ‘Z’ The volume of Y is double than Z. Y is highly combustible whereas Z is supporter of combustion. Identify X, Y & Z and write the chemical reactions involved.

Answers

Answer:

X = Water (H2O) ; Y = Hydrogen ; Z = Oxygen

Explanation:

2(H2O) -------> 2H2 + O2

If methane gas was kept in a 3.00 L container at STP, what would the pressure
be at 3.2 L?

Answers

Given

P1 = 1 Atm ( at stp)

V1 = 3.00 L

V2 = 3.20 L

P2 = ?

We know that,

at constant temperature

P1V1 = P2V2

1 × 3 = 3.2 × P2

P2 = 3/3.2

P2 = 0.9375 Atm

pressure at 3.2 L is 0.9375 Atm.

A bicyclist decelerates with a force of -350 N. If the cyclist and bicycle have a total mass of 100 kg, what is the acceleration?

Answers

Answer:Acceleration = 3.5 [m/s^2]

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A bicyclist slow with a force of 3.5 x 10^2 N. if the bicyclist and bicycle have a total mass of 1.0 x 10^2 kg, what is the acceleration

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Answer:

Acceleration = 3.5 [m/s^2]

Explanation:

We can solve this problem using Newton's second law, which states that the sum of forces on a body is equal to the product of the mass by the acceleration

F = 350 [N]

m = 100 [kg]

Using Newton's second law we have:

F = m*a

where:

F = force [N]

a = acceleration or desacceleration [m/s^2]

therefore:

a = 350/100

a = 3.5 [m/s^2]

The rate of a reaction catalyzed by an enzyme that has a single polypeptide chain
a. is likely to be activated by allosteric effectors.
b. is likely to be inhibited by allosteric effectors.
c. is always accelerated by increasing the pH.
d. may be increased or decreased by temperature.
e. is independent of the substrate concentration.



Answers

The rate of a reaction catalyzed by an enzyme that has a single polypeptide chain is may be increased or decreased by temperature. Option D is correct.

The rate of the reaction is catalyzed by an enzyme which has a single polypeptide chain will be influenced by various factors.

Allosteric effectors: Allosteric effectors are molecules that can bind to a specific site on the enzyme (allosteric site) and either activate or inhibit its activity. In the case of an enzyme with a single polypeptide chain, it is less likely to have allosteric sites. Therefore, option (a) is unlikely.

Allosteric effectors: Similarly, since an enzyme with a single polypeptide chain is less likely to have allosteric sites, it is also less likely to be inhibited by allosteric effectors. Therefore, option (b) is unlikely.

pH effect: The rate of a reaction catalyzed by an enzyme can be influenced by pH. However, stating that it is always accelerated by increasing the pH is incorrect. Enzymes have an optimal pH at which they exhibit maximum activity. Deviating from this optimal pH can lead to a decrease in enzyme activity. Therefore, option (c) is incorrect.

Temperature effect: The rate of a reaction catalyzed by an enzyme can be increased or decreased by temperature. Generally, as temperature increases, the rate of the reaction also increases due to increased molecular motion and collision frequency. Therefore, option (d) is correct.

Substrate concentration: The rate of an enzymatic reaction is typically dependent on the substrate concentration. At low substrate concentrations, the reaction rate may increase as more substrate molecules are available for binding to the enzyme. Therefore, option (e) is incorrect.

Hence, D. is the correct option.

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What i the work aociated with decompoition of trinitrotoluene (TNT) upon detonation according to the following reaction at 320. 55 K

Answers

The work associated with the decomposition of trinitrotoluene (TNT) upon detonation according to the following reaction at 320. 55 KWork equals 17640 joules or 17.640 Kilojoules.

Remember the correct balanced chemical equation below:

C7H5N3O6(s) ----- >3/2N2(g)+5/2H2(g)+3O2(g)+7C(s)

In the decomposition of TNT, the number of moles of gaseous molecules equals 7 moles of gases.

We are aware that only gaseous molecules will play a role in the TNT decomposition process. This is due to the phenomenon known as pressure-volume work, in which gases can alter the container's volume at constant pressure.

We can use the formula W= (PV) = PV, but PV can be equal to nRT (PV = nRT), so we can use W= (nRT) W= n RT. Here, n is the number of moles of gases, which is 7 mol, R is the gas constant, and T is the temperature, which is 303.10 K. Simply substitute the values that are already known for W = 7 mol  8.314 J.mol-1K-1

We can convert W to Kilojoules by using the equation 1 KJ = 1000 Joules, which yields work = 17.640 KJ.

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Which daughter element is produced from the beta decay of 145/56 Ba?

Answers

The daughter element is produced from the beta decay of ¹⁴⁵₅₆Ba is ¹⁴⁵₅₇La.

What are beta particles?

A beta particle is emitted from the nucleus of an atom during radioactive decay. The electron, however, occupies regions outside the nucleus of an atom.

Beta particle has no mass and minus charge on itself.

Radioactive decay equation for the Barium is shown as follow:

¹⁴⁵₅₆Ba → ¹⁴⁵₅₇La + °₋₁β

The daughter element which is produced from the from reaction is Lanthanum.

Hence, ¹⁴⁵₅₇La is the daughter element.

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How can you tell the difference between two clear liquids

Answers

Answer:

To identify a pure liquid substance using the physical properties of solubility, density, and boiling point. The physical properties of a pure substance can be measured without changing the composition of the substance.

Explanation:

__Pb(NO3)2 + __NaCI = __NaNO3 + __PbCI2

Answers

Answer:

Pb(NO3)2 + 2NaCl = 2NaNO3 + PbCl2

A 100. 0 mL sample of natural water was titrated with NaOH. The titration required 13. 57 mL of 0. 1123 M NaOH solution to reach a light pink phenolphthalein end point. Calculate the number of millimoles of NaOH required for the titration

Answers

A 100.0 mL sample of natural water was titrated with 13.57 mL of 0.1123 M Na OH solution to reach a light pink  are the phenolphthalein end point. The number of millimoles of Na OH required for the titration is 1.525011 millimoles. Titration is a technique used in chemistry

to identify the quantity of a substance by adding a reactant until the chemical reaction is completed. In titration, a solution of known concentration (the titrant) reacts with a solution of unknown concentration (the analyte) to determine its concentration. Titration of natural water with Na OH In this case, we are titrating natural water with Na OH to find the concentration of the unknown solution. The balanced chemical reaction for the titration of natural water with Na OH is:H2O + Na OH → Na+ + OH- + H2O

The volume of NaOH required to reach the end-point of the titration is 13.57 mL. The molarity of Na OH used for the titration is 0.1123 M. We can use the following formula to calculate the number of millimoles of Na OH required for the titration Millimoles of Na OH = (Volume of Na OH × Molarity of NaOH) / 1000Substitute the given values in the above equation and solve for the millimoles of Na OH required for the titration. Millimoles of Na OH = (13.57 mL × 0.1123 M) / 1000= 0.001525011 millimoles Therefore, the number of millimoles of NaOH required for the titration is 1.525011 millimoles.

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32
How many moles of Ca(NO) are there in a sample with a mass of 50.0 g?
a. 0.305 mol
b. 0.333 mol
c.
0.490 mol
d. 8200 mol

Answers

Answer:

0.305 mol

Explanation:

Ca(NO) is not a molecule. I think you meant to type Ca(NO3)2, which is calcium nitrate.

The moles of a compound is equal to is mass divided by its molar mass.

The molar mass of Ca(NO3)2 is 164.09 g/mol.

50.0 / 164.09 = 0.305

what is the chemical reaction and mole ratio between oxalate and permanganate in the titration reaction

Answers

5C2O4^(2-)(aq) + 2MnO4^-(aq) + 16H+(aq) → 10CO2(g) + 2Mn2+(aq) + 8H2O(l)` is the chemical reaction and mole ratio between oxalate and permanganate in the titration reaction.

A chemical reaction is a procedure that causes one group of chemical components to change chemically into another. Chemical reactions, which can frequently be described by a chemical equation, traditionally include changes that only affect the locations of electrons in the formation and dissolution of chemical bonds between atoms, with no change to the nuclei (no change to the elements present). The study of chemical processes involving unstable and radioactive elements, where both electronic and nuclear changes may take place, is known as nuclear chemistry.

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why is it better to use deionized water in chemistry experiments

Answers

Deionization removes only non-charged organic matter from the water.

A serum sample drawn in the emergency room from a 42-year-old man yielded the follow¬ing laboratory results: CK 185 Units (Normal = 15-160) AST 123 Units (Normal = 0-48) CK-MB 6 Units (Normal = 2-12) Which of the following conditions might account for these values?
a) crush injury to the thigh
b) cerebrovascular accident
c) pulmonary inhrction
d) early acute hepatitis

Answers

The CK levels were raised in the serum sample taken from the patient, indicating that there was muscle damage. This could have resulted from a crush injury to the thigh. Hence, option a) is correct.

Serum samples from patients are drawn in emergency rooms to check for their enzyme and protein levels, particularly to verify if they've had a heart attack.

CK, AST, and CK-MB are the most commonly used tests.

A crush injury to the thigh may account for these values. This is because a crush injury to the thigh can result in muscle damage and increased levels of creatine kinase (CK) in the blood.

The CK enzyme is found in skeletal muscle, cardiac muscle, and brain tissue. It can be released into the bloodstream as a result of muscular damage.

The CK levels were raised in the serum sample taken from the patient, indicating that there was muscle damage. This could have resulted from a crush injury to the thigh. Hence, option a) is correct.

Pulmonary infarction is caused by an obstruction in the pulmonary artery.

AST and CK-MB levels aren't affected by pulmonary infarction, so option c) is incorrect.

Cerebrovascular accident, on the other hand, is caused by an obstruction in the blood supply to the brain. It doesn't have an effect on CK, AST, and CK-MB levels, so option b) is incorrect. 

Early acute hepatitis, the final option, also doesn't have an effect on CK, AST, and CK-MB levels, so option d) is incorrect.

The correct option is a) crush injury to the thigh.

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What is the mass number of 199F?

Answers

Answer:

fluorine

Explanation:

hope it helps

An unknown element is found to have three naturally occurring isotopes with atomic masses of 34.9689 (76.000%), 36.9659 (23.988%) and 35.9683 (0.012%) Which of the following is the unknown element?

Answers

Answer:

Chlorine (35.44 amu)

Explanation:

An unknown element is found to have three naturally occurring isotopes with atomic masses of 34.9689 (76.000%), 36.9659 (23.988%) and 35.9683 (0.012%).

We need to find the mass of the unknown element. When abundances is given, then atomic mass is given by :

\(M=34.9689 (76.000\%)+36.9659 (23.988\%) +35.9683(0.012\%)\\\\=34.9689 (\dfrac{76}{100})+36.9659 (\dfrac{23.988}{100}) +35.9683(\dfrac{0.012}{100})\\\\=35.44\ \text{amu}\)

So, the atomic mass of the unknown element is 35.44 amu and it is chlorine.

I need help with this

I need help with this
I need help with this

Answers

The question requires us to calculate the volume of hydrogen gas in a balloon, given the number of moles of hydrogen, temperature and pressure in the balloon.

We can collect the following information from the question:

number of moles of H2 = n = 0.24 mol

temperature = T = 35°C

pressure = P = 1.05 atm

Since we need to calculate the volume of a gas and the temperature and pressure given are not the under the STP (Standard Temperature and Pressure), we'll need to apply the Ideal Gas Law equation:

\(P\times V=n\times R\times T\)

Rearranging the equation above to find volume (V), we have:

\(V=\frac{n\times R\times T}{P}\)

where n is the number of moles of hydrogen gas, T and P are the temperature and pressure given, and R is a the constant of gases (R = 0.0821 L.atm/mol.K)

Note that we need to use the units following the constant of gases - L for volume, atm for pressure, mol for number of moles and K for temperature. Thus, we need to convert the temperature given (35°C) into Kelvin degrees:

T = 35 + 273.15 = 308.15 K

Now that we have all required variables to calculate the volume, we replace them in the equation:

\(V=\frac{n\times R\times T}{P}\rightarrow V=\frac{(0.24\text{ mol)}\times(0.0821\text{ L.atm/mol.K)}\times(308.15\text{ K)}}{(1.05\text{ atm)}}\rightarrow V=5.78\text{ L}\)

Therefore, the volume of hydrogen in the ballon, under the given temperature and pressure, is 5.78 L.

As the question requires the answer expressed with two signifcant figures, we can write that the volume of hydrogen is 5.8 L.

the volume of hydrogen is 5.8 L

Most of the pollution in the ocean comes from:

automobiles
industrial waste
carbon dioxide
acid rain

PLEASE HELP ASAP!!!

Answers

probably industrial waste... acid rain isn't common and barely happens, automobiles and carbon dioxide barely affect the ocean cus they pollute the atmosphere

BRAINLY to whoever can answer this simply

Based on your knowledge of chemistry, explain what the reactants and the products of the chemical reaction are.

Thank you :)

BRAINLY to whoever can answer this simplyBased on your knowledge of chemistry, explain what the reactants

Answers

Answer: Reactants are starting materials and are written on the left-hand side of the equation. Products are the end result of the reaction and are written on the right-hand side of the equation.

Explanation:

Hope this helps!! And you're welcome!

what is the bond order for al2

Answers

Answer:

The bond order is 1.091

Explanation:

there really is no explanation.

When the following equation is balanced, the coefficients are ________.

NH3(g) + O2(g) → NO2(g) + H2O(g)

a. 3
b. 7
c. 12
d. 14

Answers

The correct answer is option B: 7

When the following equation is balanced, the coefficients are 7.

According to the law of conversation of mass, matter is neither created nor destroyed, it only transforms form one phase to another.

First of all, write the unbalanced chemical equation.

N\(H_{3}\)(g) + \(O_{2}\)(g) → N\(O_{2}\)(g) + \(H_{2}\)O(g)

Now, split the reaction in half and try to balance the number of atoms on each side of the chemical reaction.

After that add appropriate coefficients to balance the atoms on either side.

In the chemical equation, electron gain and lost must be equal.

At last, to balance the coefficients of all the species, multiply with a whole number or integer.

Now if we choose the following coefficients i.e. 4, 7, 4, 6 on both sides of the equation, we see the equation becomes:

4\(NH_{3}\)(g) + 7\(O_{2}\)(g) → 4N\(O_{2}\)(g) + 6\(H_{2}\)O(g)

To verify, always check that the equation has same number of atoms on either side.

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What would be the value for the ideal gas constant (R) if pressure (P) is in kilopascals, temperature (T)
is in kelvins, volume (V) is in liters, and amount of gas (n) is in moles?

Answers

Answer:

R = 8.314 pKa*L/mol*K

The value for the ideal gas constant (R) is approximately 8.314 kPa·L/(mol·K).

To determine the value for the ideal gas constant (R) when pressure (P) is in kilopascals (kPa), temperature (T) is in kelvins (K), volume (V) is in liters (L), and amount of gas (n) is in moles, we need to use the appropriate units for R based on these measurements.

The ideal gas constant, R, can be expressed in various units. The most common units for R are:

R = 0.0821 L·atm/(mol·K) (atmospheres, liters, moles, and kelvins)

However, since you provided the measurements in kilopascals, liters, moles, and kelvins, we need to use a different value for R that is consistent with these units:

R = 8.314 kPa·L/(mol·K)

Therefore, when pressure is in kilopascals, volume is in liters, amount of gas is in moles, and temperature is in kelvins, the value for the ideal gas constant (R) is approximately 8.314 kPa·L/(mol·K).

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What is the mass of oxygen atoms in 0. 380 mol fe(co)5?.

Answers

Answer:39+30

Explanation:

How does water quality affect other aspects of nature?

Answers

Poor water quality has its most direct impact on aquatic wildlife. Such as fish, bugs, and plants

balance the following chemical equations

balance the following chemical equations

Answers

Answer:

2N2 + O2 ⇒ 2N2O

Explanation:

Since I cannot see the product's of the second chemical equation I will only solve the first one.

In order to balance a chemical equation you need to make sure that the atoms on both sides are equal.

In this case we have...

N2 + O2 = N2O

N = 2

O = 2

N = 2

O = 2

Change the coefficient:

N2O = 2N20

2 × 2 = 4

1 × 2 = 2

2N2 + O2 ⇒ 2N2O

Hope this helps.

if you had 8.39 x 10^15 carbon atoms how many g K2CO3 total would be there?

Answers

With 8.39 x \(10^1^5\) carbon atoms, the amount of \(K_2CO_3\) would be 0.000001862 grams.

Percent composition

The percent composition of carbon atoms in  \(K_2CO_3\) is calculated as follows:

Percent composition of carbon = mass of carbon/mass of \(K_2CO_3\)

                                                    = 12/138 = 8.70%

6.022 x \(10^{23\) atoms = 1 mole of a substance

8.39 x \(10^1^5\) carbon atoms = 8.39 x \(10^1^5\)/6.022 x \(10^{23\)

                                         = 1.35 x \(10^{-8\) mol

Mass of 1.35 x \(10^{-8\) mol carbon = 1.35 x \(10^{-8\) x 12

                                                   = 1.62 x \(10^{-7\) grams

If 8.70% =  1.62 x \(10^{-7\) grams

 100% =  1.62 x \(10^{-7\) x 100/8.7

          = 0.000001862 grams of \(K_2CO_3\)

In other words, if I have 8.39 x \(10^1^5\) carbon atoms, that would be equivalent to 0.000001862 grams of \(K_2CO_3\).

More on percent composition can be found here: https://brainly.com/question/17505281

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