Answer:
We can use the ideal gas law to solve for the volume:
PV = nRT
where:
P = pressure = 0.090 atm
V = volume (unknown)
n = moles = 6.7 mol
R = gas constant = 0.08206 L·atm/mol·K
T = temperature = 56.0 + 273.15 = 329.15 K
Substituting the given values:
(0.090 atm) V = (6.7 mol) (0.08206 L·atm/mol·K) (329.15 K)
Simplifying:
V = (6.7 mol) (0.08206 L·atm/mol·K) (329.15 K) / (0.090 atm)
V = 164.0 L
Therefore, the gas has a volume of 164.0 L.