How much energy will a sample of aluminum
gain when it is warmed from 306 K to 419 K? The
specific heat capacity of aluminum is 0.897 J/g.K,
and the mass of the sample is 5.00 g.

How Much Energy Will A Sample Of Aluminumgain When It Is Warmed From 306 K To 419 K? Thespecific Heat

Answers

Answer 1

The specific heat capacity of a substance, also known as the massic heat capacity or massic heat capacity in thermodynamics, is the heat capacity of a sample of the substance divided by the mass of the sample. So, the energy gain by sample will be 506J

We know that, the heat energy gained will be calculated by the formula,

Q=mcΔT

where,

Q= Heat energy gained

m=mass

c= specific heat capacity

ΔT= Change in temperature

So, Given,

m= 5.00g ,

ΔT= 419K -306K= 113K

c= 0,897J/gK

Q=mcΔT

Q= 5.0×0.897×113

Q= 506J

So, the energy gained by sample of Aluminum will be 506 J when it is warmed from 306 K to 319K , in which temperature difference is 113K

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Related Questions

Write the equilibrium constant expression for this reaction: 2H²(aq)+SO₁¯(aq) → H₂SO4(aq)​

Answers

The reaction's equilibrium constant is 2.4 x 1047 + 500 K for the reaction 2H2(g) + O2(g) 2H2O(g).

What is the 2NO2 g N2O4 g equilibrium constant expression?

Assuming a standard free energy change of 5.40 kJ/mol, the equilibrium constant for the reaction N2O4(g)2NO2(g) N 2 O 4 (g) 2 N O 2 (g) is 0.113 at 298 K.

At a certain temperature, Kc = 2.4 x 103 molL m o l L is the equilibrium constant for the reaction 2NON2+O2 2 N O N 2 + O 2.

The ideal gas law is expressed as PV=nRT, where P is pressure, V is volume, n is number of moles in the substance, R is constant at 0.08206 L atm/K mol, and T is temperature in Kelvin.

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What limitations occurs for chalk in vinegar chemistry pd lab experiment?
Also the precautions to take
Need this asap!!

Answers

Answer:

When conducting a chemistry lab experiment using chalk (calcium carbonate) in vinegar (acetic acid), there are several limitations and precautions to be aware of:

Limitations of chalk in vinegar chemistry experiment:

Reaction rate: The reaction between chalk and vinegar is relatively slow, which may require a longer observation period or higher concentration of vinegar to observe significant changes within a reasonable time frame.

Solubility: Chalk may not dissolve completely in vinegar, resulting in incomplete reaction or difficulty in obtaining accurate results.

Product formation: The reaction between chalk and vinegar produces carbon dioxide gas, water, and calcium acetate. The carbon dioxide gas may escape into the atmosphere, leading to loss of product and inaccurate measurements.

pH: Chalk is a basic substance, and the reaction with vinegar, which is acidic, may result in neutralization, leading to a decrease in the overall acidity of the reaction mixture.

Precautions to take in chalk in vinegar chemistry experiment:

Ventilation: The reaction between chalk and vinegar produces carbon dioxide gas, which can displace air and potentially cause asphyxiation in a closed or poorly ventilated area. Conduct the experiment in a well-ventilated area or under a fume hood to ensure adequate air circulation.

Eye and skin protection: Vinegar is an acid and can cause skin and eye irritation. Wear appropriate personal protective equipment (PPE), such as gloves and goggles, to protect yourself from contact with vinegar or any other chemicals used in the experiment.

Chemical handling: Handle the chemicals, including chalk and vinegar, with care, following proper lab safety protocols. Avoid ingestion, inhalation, or direct contact with the chemicals, and dispose of them properly according to local regulations.

Accuracy in measurements: Use calibrated and accurate measuring tools, such as graduated cylinders or burettes, to measure the amount of chalk, vinegar, and other reagents accurately. This will ensure the reliability and accuracy of the experimental results.

Observations: Make careful and detailed observations during the experiment, noting any changes in appearance, gas evolution, or other relevant observations. Take measurements at appropriate intervals and record the data accurately for analysis and interpretation.

It is important to follow good laboratory practices, including proper chemical handling, accurate measurements, and cautious observations, to ensure safe and reliable results in a chalk in vinegar chemistry lab experiment. Consult with a qualified instructor or supervisor for specific guidelines and precautions related to your experiment.

Which two statements about composite materials is true?

A. They're made up of more than one substance

B. They have the same or similar properties as the materials used to make them

C. They're always made of metal

D. They're readily available in nature

help as fast as u can please​

Answers

A and D are correct

What is the name of the following elements: Na, K, Br, O, Fe?

Answers

Answer:

Na = Sodium

K = Potassium

Br = Bromine

O = Oxygen

Fe = Iron

Explanation:

The approximate diameter of the spherical nucleus of hydrogen-1 atom is 1 x 10^-13 cm. Estimate the density (g/cm3) of matter in a proton of mass of proton is 1.673 x 10^-24

Answers

The diameter of the spherical nucleus of hydrogen-1 atom is 1 x 10^-13 cm. The density (g/cm3) of matter in a proton of mass of proton is 1.673 x 10^-24 is 3.193 × 10¹⁵ g/cm³.

What is density ?

The density of a substance is its mass per unit volume. The most common symbol for density is, but the Latin letter D can also be used. Density is defined mathematically as mass divided by volume.

Diameter = 1 x 10⁻¹³ cm

Mass = 1.673 x10⁻²⁴ g

Volume = 4/3πr³

Volume = 4/3 × 22/7 × (1 × 10⁻¹³ / 2)³

Volume = 11 × 10⁻³⁹ / 21

Density = Mass / Volume

           = 1.673 x10⁻²⁴ / 11 × 10⁻³⁹ / 21

Density = 3.193 × 10¹⁵ g/cm³

Thus, the density (g/cm3) of matter in a proton of mass of proton is 1.673 x 10^-24 is 3.193 × 10¹⁵ g/cm³.

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What are the causes and consequences of climate change

Answers

Answer: Humans are increasingly influencing the climate and the earth's temperature by burning fossil fuels, cutting down forests and farming livestock.

Explanation: This adds enormous amounts of greenhouse gases to those naturally occurring in the atmosphere, increasing the greenhouse effect and global warming.

The decomposition of HI(g) at 298 K is represented by the equilibrium equation above. When 100. torr of HI(g) is added to a previously evacuated, rigid container and allowed to reach equilibrium, the partial pressure of I2(g) is approximately 3.7 torr. If the initial pressure of HI(g) is increased to 200. torr and the process is repeated at the same temperature, which of the following correctly predicts the equilibrium partial pressure of I2(g), and why?
answer choices
PI2 ≈ 14 torr, because it is directly proportional to the square of the initial pressure of HI.
PI2 ≈ 0.073 torr, because it is inversely proportional to the square of the initial pressure of HI.
PI2 ≈ 7.4 torr, because it is directly proportional to the initial pressure of HI.
PI2 ≈ 1.9 torr, because it is inversely proportional to the initial pressure of HI.

Answers

7.4 torr for PI2. Due to its direct proportionality to the initial pressure of HIHI, PI2 7.4 torrs.

The forward and reverse reactions happen simultaneously when the system is in equilibrium. Each reactant and product are present in equal amounts once equilibrium has been attained. The relationship between the concentrations of the reactants and the products is mathematically represented by the equilibrium constant equation.

The equilibrium state is the state of a system whose attributes are constant under constant external conditions. Even after equilibrium has been reached, reactants and products continue to change, making chemical equilibria dynamic in nature. However, the reaction time for moving forward and backward is the same. Balance examples include Placed on the table was a book. a vehicle that travels at a fixed speed. a chemical process where the rates of the forward and reverse reactions are equivalent.

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What is/are the purpose(s) of adding HCl to the reaction mixture?

Answers

The addition of hydrochloric acid to a reaction mixture can serve several purposes, depending on the specific reaction and its conditions such as: (1) To provide protons (H⁺), (2) To adjust the pH of the reaction mixture, (3) To remove impurities or byproducts.

Why hydrochloric acid is added to a reaction mixture?

(1) To provide protons (H⁺) for acid-catalyzed reactions: HCl is a strong acid, meaning it readily donates protons to other molecules. In some reactions, the presence of HCl can accelerate the reaction by increasing the concentration of protons in the reaction mixture. This can facilitate bond-breaking and bond-forming steps in the reaction mechanism.

(2) To adjust the pH of the reaction mixture: In some reactions, it may be necessary to maintain a specific pH range for the reaction to proceed optimally. By adding HCl, the pH of the reaction mixture can be lowered, making the environment more acidic. Conversely, the addition of a base such as sodium hydroxide (NaOH) can raise the pH of the reaction mixture.

(3) To remove impurities or byproducts: In some reactions, the addition of HCl can help to remove impurities or byproducts that may interfere with the desired reaction. For example, HCl can be used to remove metal oxides or hydroxides from a reaction mixture.

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A stock solution of HNO3 is prepared and found to contain 14.2 M of HNO3. If 25.0 mL of the stock solution is diluted to a final volume of 0.500 L, the concentration of the diluted solution is ________ M.

Answers

Answer:

First convert volume given into same unit.

Therefore 1000 mL =1L

1000mL=1L

25.0mL=?

(25.0×1)÷1000=0.025L

but using the equation;M1×V1=M2×V2

M1=14.2M

V1=0.025L

M2=?

V2=0.5L

Therefore;. 14.2×0.025=M2×0.5

M2=(14.2×0.025)÷0.5

M2=0.71M.

A stock solution of HNO3 is prepared and found to contain 14.2 M of HNO3. If 25.0 mL of the stock solution is diluted to a final volume of 0.500 L, the concentration of the diluted solution is 0.71M.

What is the stock solution ?

To make a stock solution, weigh out the proper amount of a pure solid or measure out the proper amount of a pure liquid, put it in the right flask, and then dilute it to the desired volume. Depending on the intended concentration unit, many methods can be used to measure the reagent.

First we convert volume

Then 1000 mL = 1L

1000mL= 1L

25.0mL = ?

( 25.0 × 1 ) / 1000

= 0.025L

by using the equation;

M1 × V1 = M2 × V2

M1 = 14.2M

V1 = 0.025L

M2 = ?

V2 = 0.5L

14.2 × 0.025 = M2 × 0.5

M2 = (14.2 × 0.025 ) ÷ 0.5

M2 = 0.71M.

Thus, A stock solution of HNO3 is prepared and found to contain 14.2 M of HNO3. If 25.0 mL of the stock solution is diluted to a final volume of 0.500 L, the concentration of the diluted solution is 0.71M.

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2 SO2(g) + O2(g) + 2 H2O(ℓ) −→ 2 H2SO4(ℓ)
What mass in grams of SO2 is needed to
react with 1527 g of O2?

Answers

Answer:

6116g

Explanation:

2SO2(g) + O2(g) + 2H2O(ℓ) −→ 2H2SO4(ℓ)

We want to find the mass in grams of SO2 that is needed to react with 1527 g of O2. First we must convert the grams of O2 to moles of O2 then to moles of SO2 and then to grams of SO2

So first lets find the molar mass of O2

The mass of oxygen according to a periodic table is 15.999

Using this the mass of O2 would be 15.999(2) = 31.988g

Next we need to identify the mole ratio of O2 to SO2

Looking at the equation for 1 mole of O2 there are two moles of SO2

Next we need to find the molar mass of SO2

Again the mass of oxygen is 15.999g and the mass of Sulfur is 32.066

So the mass of SO2 would be 15.999(2) + 32.066 = 64.064g

Now that we have found all the needed conversions :

1 mol O2 = 31.988g 1 mol O2 = 2 mol SO21 mol SO2 = 64.064g

We can now use dimensional analysis to calculate the answer.

Kindly check the attached image to see the table. ( sorry if its a bit blurry )
Explanation : The conversions are used to cancel out the units to get to the final unit which is gSO2.

Once the units are cancelled out except for the gSO2 we mutliply and divide based off of what the table says to do.
Here first we divide 1527 by 31.988. We than multiply by 2. Finally we multiply by 64.064 to get the final answer which is 6116gSO2

2 SO2(g) + O2(g) + 2 H2O() 2 H2SO4()What mass in grams of SO2 is needed toreact with 1527 g of O2?

Calculate the pH of the following:
1. [H+] = 1 x 10-7 M


2. [OH-] = 1 x 10-3 M

3. [H+] = 1 x 10-2 M


4. [H+] = 1 x 10-10 M


5. [OH-] = 1 x 10-8 M

Answers

The pH can be defined as the negative logarithm of the hydrogen ion concentration of the solution.

What is the pH?

What we call the pH can be defined as the negative logarithm of the hydrogen ion concentration of the solution. We are aware that we can use the relation [H+]  [OH-]  = 1 * 10^-14 to handle the enormity of this problem.

Now, let us go about solving the problems;

1. pH = -log(1 x 10-7) = 7

2.  [H+]=  1 * 10^-14/ 1 x 10^-3

pH =  -log(  1 * 10^-11)

pH = 11

3. pH = -log( 1 x 10^-2)

pH = 2

4. pH = -log(  1 x 10^-10)

pH = 10

5.  [H+]=  1 * 10^-14/ 1 x 10^-8

[H+]=  1 * 10^-6

pH = 6

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A compound contains 0.5 mol Na, 0.5 mol N, and 10 mol H. The empirical formula of the
compound is -

Answers

Answer:

NaNH₂₀

Explanation:

0.5 mol Na, 0.5 mol N, and 10 mol H

To obtain the empirical formulae, we find the mole ratio between the elements and this is done by dividing all through by the smallest mol (0.5)

Na = 0.5 / 0.5 = 1

N = 0.5 / 0.5 = 1

H = 10 / 0.5 = 20

The mole ratio is used to write the empirical formulae. It is given as;

NaNH₂₀

What volume of silver metal will have a mass of exactly 2500.0 g? The density of silver is 20.5 g/cm3.

Answers

Answer: 122 cm^3

Explanation:

2500.0 g * 1 cm^3/20.5 g=

2500.0 * 1/20.5=

2500.0/20.5=122 cm^3

classifying as acidic, basic, or neutral

Answers

Acidity, basicity, and neutrality are terms used to describe the properties of a solution. A solution can be classified as acidic, basic, or neutral based on its pH value, which is a measure of the concentration of hydrogen ions (H+) in the solution.

What is pH?

It is defined as the negative logarithm (base 10) of the concentration of hydrogen ions (H+) in the solution. The pH scale ranges from 0 to 14, with 0 being the most acidic, 7 being neutral, and 14 being the most basic (alkaline).

Acids are substances that can donate hydrogen ions (H+) to a solution, thereby increasing the concentration of H+ ions. Examples of acids include hydrochloric acid (HCl), sulfuric acid (H2SO4), and acetic acid (CH3COOH).

If the pH of a solution is greater than 7, it is considered basic or alkaline. The higher the pH, the more basic the solution is. Bases are substances that can accept hydrogen ions (H+) from a solution, thereby reducing the concentration of H+ ions. Examples of bases include sodium hydroxide (NaOH), potassium hydroxide (KOH), and ammonia (NH3).

If the pH of a solution is exactly 7, it is considered neutral. This means that the concentration of H+ ions is equal to the concentration of hydroxide ions (OH-) in the solution. Water is an example of a neutral solution, as it has a pH of 7.

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The electrical current in a circuit is measured in which of the following units

Answers

Answer:

joules

Explanation:

i think

Explanation:

The SI unit of electric current is the ampere, or amp, which is the flow of electric charge across a surface at the rate of one coulomb per second. The ampere (symbol: A) is an SI base unit Electric current is measured using a device called an ammeter.

A chipmunk has a mass of 0.7 kg. What is its weight? (Acceleration due to gravity on Earth is 9.8 m/s2).

Answers

Answer:

W=ma

=0.7×9.8

=6.86N

....................

PLEASE GIVE BRAINLIEST

Which statement best describes why water is a polar molecule?

a. Water has a slightly negative oxygen atom and slightly positive hydrogen atoms.
b. Water has nonpolar bonds that cancel each other out due to similar electronegativity values.
c. Water has bonds where electrons are equally shared between oxygen and hydrogen atoms.
d. Water has a slightly positive oxygen atom and slightly negative hydrogen atoms.

Answers

Hydrogen atoms are slightly positive and oxygen atoms are slightly negative in water best describes water as polar molecule. Option A is correct.

Due to the molecule's bent shape, water (H₂O) is polar. The shape implies the greater part of the negative charge from the oxygen on side of the particle and the positive charge of the hydrogen atom is on the opposite side of the atom

Two properties of water that outcome from the polar holding between its atoms are attachment and bond. These properties make water atoms 'adhere' to one another and to be drawn to other polar particles.

A polar particle is typically shaped when the one finish of the particle is said to have more certain charges and though the far edge of the atom has negative charges, making an electrical shaft.

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Which statement describes an intensive property of matter?
OIt is the same for every sample of a single substance.
OIt depends on how a substance was formed.
It is the same for every sample of every substance.
OIt depends on the amount of substance present.
27

Answers

It is the same for every sample of every substance present describes an intensive property of matter.

The correct option is C.

What is the meaning of intensive property?

An intense property is a greater stability of a system that is independent of the system's size or the volume of its constituent elements. Based on the definitions, internal energy, volume, or density are extensive properties while pressure, temperature, and densities are intensive properties.

Why density is a intensive property?

Because of the small range of densities present among the samples, density is an intense attribute. Concentrations were roughly the same regardless of the beginning mass. The data show that density is an intense attribute of matter because it is independent of the amount of substance present.

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The complete question is

Which statement describes an intensive property of matter?

A-It is the same for every sample of a single substance.

B-It depends on how a substance was formed.

C-It is the same for every sample of every substance.

D-It depends on the amount of substance present.

If a package of nuts weighs 41.3 what is the massif package express in milligram

If a package of nuts weighs 41.3 what is the massif package express in milligram

Answers

Answer:

1170855 mg

Explanation:

To identify a diatomic gas ( X2 ), a researcher carried out the following experiment: She weighed an empty 6.4- L bulb, then filled it with the gas at 1.30 atm and 27.0 ∘C and weighed it again. The difference in mass was 9.5 g . Identify the gas.

Answers

The diatomic gas ( X2 ) is N₂ dinitrogen.

Dinitrogen is a chemical compound fashioned from the covalent bonding of two nitrogen atoms. it's far a colorless, odorless gas at room temperature and pressure, which makes up about seventy-eight % of the Earth's environment.

Diatomic gas is a chemical compound formed from the covalent bonding of two nitrogen atoms. it's miles drab, odorless gasoline at room temperature and stress, which makes up about seventy eight % of the Earth's surroundings.

Volume = 6.4 L

Pressure = 1.3 atm

Temperature = 25 C = 298 K

R = 0.08206 L.atm/mol.K

P * V = n * R * T

1.3 atm * 6.4 L = n * 0.08206 L.atm/mol.K * 298 K

n = 0.34 moles

difference of mass is the mass of gas = 9.5 g

Molar mass = Mass / No. of moles = 9.5 g / 0.34 moles = 27.9 g/mol

diatomic gas with molar mass 28 g/mol is N2

Hence the diatomic molecule is N2      

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The wavelength of infrared light is 1000 nm. What is the frequency in Hz? c=3.00x10^8m/s

ans choices are
3.0x10^14
4.0x10^15
1.0x10^13
2.0x10^14
4.0x10^14

Answers

\(\\ \tt\Rrightarrow \nu=\dfrac{c}{\lambda}\)

v is frequencylambda is wavelength

\(\\ \tt\Rrightarrow \nu=\dfrac{3\times 10^8}{1000\times 10^{-9}}\)

\(\\ \tt\Rrightarrow \nu=0.003\times 10^{17}s^{-1}\)

\(\\ \tt\Rrightarrow \nu=3\times 10^{14}Hz\)

A person on a diet loses 15 lb in 3.5 months. Calculate the average weight loss in milligrams per second (mg/s).

Answers

The average weight loss is 0.739 mg/s.

The total weight lost by the individual = 15 lb

To convert Ib to mg

1 Ib = 453592 mg

15 lb = 15 lb * 453592 mg/ 1 Ib

= 6803880 mg

The time taken for the weight loss = 3.5 months

Number of seconds in 3.5 months = 9.198 * 10^6 seconds

Hence;

Average weight loss in milligrams per second (mg/s);

Weight lost/ time taken

6803880 mg/9.198 * 10^6 seconds

= 0.739 mg/s

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charles law . who can please help me with these two problems asap ?

charles law . who can please help me with these two problems asap ?

Answers

Answer:

k

Explanation:

Use dimensional analysis to compute what volume of titanium (in cm3) would have a mass of 68.9186 grams. DO not include units in your answer, just the numeric part, and report your result to the correct number of significant figures.

Answers

The volume of titanium would have a mass of 68.9186 grams is 15.180 cm​​​³.

What is volume ?

The term volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object. Two examples of cubic units are cm3 or in3.

Given:

Density = 4.540 gm/cm​​​​​3

mass =  68.9186 grams

Volume = ?

As we know the formula of density = mass / volume

Therefore, volume = mass / density

volume = 68.9186  gm / 4.540 gm/cm​​​​​3

volume = 15.1803 cm​​​³

Thus, the volume of titanium would have a mass of 68.9186 grams is 15.180 cm​​​³.

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Question 2 of 10
Which chemical equation is balanced?
A. CO₂ + H₂O → H₂CO₂
B. K+ H₂O → K₂O + H₂
C. CaO2 + HCl → CaCl₂ + H₂O
OD. MgO + 2HCl → MgCl₂ + H₂O

Answers

The equation MgO + 2HCl → MgCl₂ + H₂O is  a balanced equation.

A balanced chemical equation contains equal number of atoms on both sides of the equation.The equation is MgO + 2HCl → MgCl₂ + H₂O  which contains 1 atom of Mg, 2 atoms of chlorine, 2 atoms of chlorine, 1 atom of oxygen on both reactants and products sides.So the equation is balanced.An equation for a chemical reaction is said to be balanced if both the reactants and the products have the same number of atoms and total charge for each component of the reaction. In other words, both sides of the reaction have equal amounts of mass and charge.It follows law of conservation of mass.Mass is neither created nor destroyed rather it can be transferred from one form to another.

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What is the coefficient for sodium chloride when this equation is balanced?

Answers

Answer:

To resolve this, we need to place the coefficient “2” in front of the sodium in the reactant, to give the equation shown below. 2 Na (s) + Cl 2 (g) → 2 NaCl (s) In this equation, there are two sodiums in the reactants, two sodiums in the products, two chlorines in the reactants and two chlorines in the products; the equation is now balanced.

Explanation:

A 105 L container holds 32 mol of gas. How many moles of gas will
there be if 40 L of gas were removed?

Pls help!

Answers

The answer to the question that was given by this user is, 0.026

vitamin A in chemistry​

Answers

Answer:

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Vitamin A is a fat-soluble vitamin and an essential nutrient for humans. It is a group of organic compounds that includes retinol, retinal (also known as retinaldehyde), retinoic acid, and several provitamin A carotenoids (most notably beta-carotene (β-carotene).

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Write a balanced nuclear equation for the beta decay of 234/90Th

Write a balanced nuclear equation for the beta decay of 234/90Th

Answers

The balanced nuclear equation for the beta decay of 234/90Th can be represented as follows: ^234/90Th --> ^234/91Pa + e^0/-1β

In this equation, the nucleus of thorium-234 (234/90Th) undergoes beta decay. During beta decay, a neutron within the nucleus is converted into a proton, resulting in the emission of an electron (beta particle). As a result, the thorium-234 nucleus is transformed into protactinium-234 (234/91Pa) by gaining one proton.

The beta particle emitted during the decay process is represented as e^0/-1β, where the superscript 0 denotes that the electron has no charge (neutral), and the subscript -1 indicates that the electron carries a negative charge of -1.

It is important to note that in a nuclear equation, the total atomic mass and atomic number on both sides of the equation must be equal to maintain a balanced equation and conserve mass and charge.

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Please Help! Chemistry questions below!

Please Help! Chemistry questions below!

Answers

2H_2S+3O_2-->2SO_2+2H_2O

So

Moles of Oxygen:-

44.7/321.396mol

3 mol of O_2 produces 2 mol SO_2

1 mol of ao_2 produces 2/3=0.6mol So_2

1.396 mol produces 0.8376mol SO_2

Mass of SO_2

0.8376(64)53.6g
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Show your calculation b) LO4, For the following situation, state the likelihood of a future event and state how the contingency will be reported? Company A estimates it will have to pay $85,000 in warranty repairs next year. A Man Riding A Scooter Travels A Distance Of 70 Meters In 20 Seconds. What Is The Speed Of The Scooter? Which of the following Pacific Island groups is the MOST populous?A. MelanesiaB. MicronesiaC. PolynesiaD. Marshall Islands The following information has been taken from the accounts for Vidro Company.Planned manufacturing activity: 40,000 machine hoursStandard variable overhead rate per machine hour:$16Budgeted fixed overhead: $100,000Variable overhead spending variance: $92,000 unfavourableVariable overhead efficiency variance: $102,000 favourableFixed overhead budget variance: $25,000 unfavourableTotal actual overhead costs: $675,000REQUIRED:Calculate the following:a) Actual fixed overhead costs.(b) Actual variable overhead costs.(C) Actual machine hours worked.(d) Standard machine hours allowed.(e) Fixed overhead volume (production volume)variance. A farm has an area of 18.5 hectares.hat is its area in ares? Problem 2.You are asked to investigate the effects of rain on building foundations.As part of your analysis,you wish to get a good understanding of how much rain falls in an average year.However,the National Weather Service lost most of its records for your area because a roof leaked in their headguarters.so you can only use a sample in your investigation.The following data represent rainfall amounts (in inches for a random sampling of years for your area. You think that the actual mean is higher than what this sample represents.If you assume that they come from a normal distribution with a variance of 5.4,is it possible to say,with 95% confidence,that the actual mean is 13.85 inches(the alternative being the mean is 13.85)?Yes or No? Prove your answer.(6 pts) Sensing the position and movement of individual body parts is an example of which sense?. This section of the URD should describe the identified flow of identified existing processes practiced by the organization.1 >Give a brief description of the process i.e., involved roles/stakeholdersHere>>1.1 Swimlane Model[Include the process Swimlane here]1.2 Related DocumentsThis should specify all related documents, which need to be considered in the current process. This could be the guideline document or the SOP documents.1.3 Issues in the current processThis should specify all identified problems or issues currently faced by the involved parties in the current process.List and specify all related issues here.1.4 Improvement SuggestionsThis should specify suggestions to improve the current process based on identified issues A movie rental company charges a monthly fixed membership fee of $13 plus $4 per movie that the user rents inthat month. If M represents the number of movies that the user rents, and C represents the user's total chargefor the month, find the relationship between M and C. Step 1: Write a summary and evaluate case from Supervision (Leonard, Edwin C.) pages 160-161Step 2:Evaluate the offer made to Randy Harber. Do you agree that this is the op-portunity of a lifetime? Why or why not?Step 3: What factors should Harber consider, and how should Harber evaluate his career options?Step 4:If you were Randy Harber, what would you do and why? (Before you answer these questions, you may want to check some Web sites to get information on the countrys history, economy, business and governmental practices, policies, culture, language, and living conditions.) Thomas is running an after-school day care center with 8 children. He is thinking about providing tutoringservices for the children and is doing research on their grades in school. Each child takes 3 classes and eitherpasses or fails each class.The children's grades are shown in the table below. "P" represents a passed class, and "F" represents a failedclass.Drag the bars to make a relative frequency plot that shows the proportion for each possible number of classesfailed by a child.ChildGradesPoojaPFPMelissaPPFSalmaFFPPedroPPPErnestoPFPDaliaPPFOlgaFPFDivyaPPP 27. By which process does oxygen pass out of a leaf? A diffusion B osmosis C translocation D transpirationby which process