The volume occupied by a gas can be calculated using the ideal gas law:
PV = nRT
where:
P is the pressure of the gas
V is the volume of the gas
n is the number of moles of gas
R is the ideal gas constant (8.314 J/mol*K)
T is the temperature of the gas
Assuming that the pressure and temperature are 1 atm and 273 K (standard temperature and pressure), we can calculate the volume occupied by 15 g of helium:
V = nRT/P
V = (3.747 mol)(8.314 J/mol*K)(273 K)/1 atm
V = 83.1 L
Therefore, 15 g of helium gas occupies a volume of approximately 83.1 liters at standard temperature and pressure.