Find the volume in milliliters of 4.00 mol of an ideal gas at 34°C and a pressure of 1120 torr.

Question

Find the volume in milliliters of 4.00 mol of an ideal gas at 34°C and a pressure of 1120 torr. 

Use the ideal gas law and the appropriate R value: 

R = 0.0821 atm • L/mol • K

R = 8.31 kPa • L/mol • K

R = 62.4 torr • L/mol • K

     _________mL   

Answer 1

Ideal gas law equation

PV = nRT

P = 1120 torr

V = ? in L

n = 4.00 mol

T = 34 °C + 273 K = 307 K

To minimize conversions, use R = 62.4 torr L / mol K

solve for V

V = nRT / P

= (4.00 mol x 62.4 torr L / mol K x 307 K) / 1120 torr = 68.4 L

1 L = 1000 mL

V = 68.4 L x (1000 mL / 1 L) = 68,400 mL