Question

What would be the volume in liters of an ideal gas, if a 0.425 mole sample of the gas had a temperature of 900 degrees celsius at a pressure of 3.00 atmospheres? (the ideal gas constant is 0.0821 l•atm/mol•k.)?

Answer 1

The ideal gas law relates the pressure (P), volume (V), number of moles (n), and temperature (T) of a given ideal gas through the equation,

PV = nRT

If we are to determine the volume of the gas, we derive the equation such that it takes the form of,
V = nRT/P

Substituting,
V = (0.425 mol)(0.0821 L.atm/mol.K)(900 + 273 K) / 3 atm

V = 13.64 L

Thus, the volume of the ideal gas is approximately 13.64 L.