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2 years ago

Prove that PV = nRT.

Chemistry

1 answer:

qaws [65]2 years ago

6 0

Find your answer in the explanation below.

Explanation:

PV = nRT is called the ideal gas equation and its a combination of 3 laws; Charles' law, Boyle's law and Avogadro's law.

According to Boyle's law, at constant temperature, the volume of a gas is inversely proportional to the pressure. i.e V = 1/P

From, Charles' law, we have that volume is directly proportional to the absolute temperature of the gas at constant pressure. i.e V = T

Avogadro's law finally states that equal volume of all gases at the same temperature and pressure contain the same number of molecules. i.e V = n

Combining the 3 Laws together i.e equating volume in all 3 laws, we have

V = nT/P,

V = constant nT/P

(constant = general gas constant = R)

V = RnT/P

by bringing P to the LHS, we have,

PV = nRT.

Q.E.D

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3 years ago

3. A 3.455-g sample of a mixture was analyzed for barium ion by adding a small excess of sulfuric acid to an aqueous solution of

erik [133]

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2 years ago

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3 years ago

Read 2 more answers

What is the temperature of 0.500 moles of a gas that is stored in a 2.50 L container under 13.0 atm of pressure?

faust18 [17]

<h2>Answer:</h2>

Moles of a gas = 0.500

Volume = 2.50 L

Pressure = 13. atm

Temperature = ?

Solution:

Formula:

PV = n RT

Putting the values in formula:

T = PV/nR = 13 * 2.5 / 0.5 * 0.082057

= 32.5/0.041 = 792.68 K

T = 792.68 K

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3 years ago

Prove that PV = nRT.​

Prove that PV = nRT.