Step-by-step explanation:
At STP (standard temperature and pressure), the temperature is 273.15 K and the pressure is 1 atm. We can use the ideal gas law to calculate the volume of the gas sample:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant (0.08206 L·atm/mol·K), and T is the temperature.
First, we need to calculate the number of moles of each gas present in the sample. The molar mass of CO2 is 44.01 g/mol, and the molar mass of He is 4.00 g/mol.
moles of CO2 = mass of CO2 / molar mass of CO2
moles of CO2 = 4.4 g / 44.01 g/mol
moles of CO2 = 0.0998 mol
moles of He = mass of He / molar mass of He
moles of He = 2 g / 4.00 g/mol
moles of He = 0.5 mol
The total number of moles in the gas sample is:
total moles = moles of CO2 + moles of He
total moles = 0.0998 mol + 0.5 mol
total moles = 0.5998 mol
Now, we can use the ideal gas law to calculate the volume of the gas sample:
V = nRT/P
V = (0.5998 mol)(0.08206 L·atm/mol·K)(273.15 K)/(1 atm)
V = 12.96 L
Therefore, the volume of the gas sample at STP is approximately 12.96 L.