A 25-L container holds hydrogen gas at a gauge pressure of 0.25 atm and a temperature of 0°C. What mass of hydrogen is in this container?

Question

Quizplus · Accepted Answer

To find the mass of hydrogen, use the ideal gas law: PV = nRT. Convert gauge pressure to absolute pressure: 0.25 atm + 1 atm = 1.25 atm. Convert temperature to Kelvin: 0°C = 273 K. Use R = 0.0821 L·atm/mol·K. Solve for n (moles): n = PV/RT = (1.25 atm)(25 L) / (0.0821 L·atm/mol·K)(273 K) ≈ 1.4 mol. The molar mass of H2 is 2 g/mol, so mass = 1.4 mol × 2 g/mol = 2.8 g.

A 25-L Container Holds Hydrogen Gas at a Gauge Pressure