What will be the mass of hydrogen gas, H₂, that is stored in a 15.0-L container at the pressure of 7.50 atm? The container is kept at 20.0°C. (Use the mass of 2.00 g/mol for the hydrogen.)

Question

Quizplus · Accepted Answer

To find the mass of hydrogen gas stored, we can use the ideal gas law equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin. First, convert the temperature to Kelvin: T = 20.0°C + 273.15 = 293.15 K. The ideal gas constant R = 0.0821 L·atm/(mol·K). Rearrange the ideal gas law to solve for n (moles of hydrogen): n = PV / RT. Substitute the given values: n = (7.50 atm)(15.0 L) / (0.0821 L·atm/(mol·K) * 293.15 K) = 4.67 mol. The mass of hydrogen can be calculated by multiplying the number of moles by the molar mass of hydrogen (2.00 g/mol): mass = 4.67 mol * 2.00 g/mol = 9.34 g, which rounds to 9.35 g.

What Will Be the Mass of Hydrogen Gas, H2, That

What Will Be the Mass of Hydrogen Gas, H₂, That