Apply the ideal gas law to solve problems

Question

A sample of gas that contains 21.0 moles at a pressure of 78.0 atm with a temperature of 900. Khas what volume?

• Use R = 0.08206 La

for the gas constant.

Volume of gas (V) = 19.8935 L

Explanation:

Data Given:

no. of mole of gas (n) = 21.0 mole

Pressure P = 78.0 atm

Temperature T = 900 K

Ideal gas constant = 0.08206 L atm K⁻¹ mol⁻¹

Volume of gas = ?

Formula used for Ideal gases

PV = nRT

As we have to find volume of the gas:

We will rearrange the ideal gas equation as below:

V = nRT / P ... (1)

Put value in equation (1)

V = 21.0 mol x 0.08206 L atm K⁻¹ mol⁻¹ x 900K / 78.0 atm

V = 19.8935 L

Volume of gas V = 19.8935 L