What will be the pressure of a gas compressed from an initial pressure of 11.5 atm in 53.2 L at 25°C to a volume of 23.1 L at 75°C.

Answer 1

We will use the PV = nRT equations to evaluate both conditions.

Given:

1. P = 11.5 atm
2. V = 53.2 L
3. T = 25°C = 298.15 K
4. R = 0.082 L•atm / K•mol

Solve for n.

n = PV / RT = ( 11.5 atm • 53.2 L ) = 25.02 mol

0.082 L•atm / K•mol • 298.15 K)

Solve for P, given new conditions:

Given:

1. V = 23.1 L
2. T = 75°C = 348.15 K
3. R = 0.082 L•atm / K•mol
4. n = 25.02 mol

Solve for P:

P = nRT/V = ( 25.02 mol • 0.082 L•atm / K•mol • 348.15 K) = 30.92 atm

23.1 L