An engineer wants to estimate the mass of gas that is present in a tank. she knows that 1.00 mol of the gas occupies a volume of 24.5 l at the set temperature and pressure. if the volume of the tank is 170.0 l and the molecular weight of the gas is 32.00 g/mol, what is mass of gas in the tank?

We assume that the gas is an ideal gas so that we can use the ideal gas equation. It is expressed as PV=nRT. The calculations are as follows:

For the first conditions, we calculate the ratio of P and T which will be constant for the second condition.

P/T = nR / V = 1 mol (0.08206 atm L / mol K) / 24.5 L=0.0033 atm/K

We then solve for the amount of gas when the volume is equal to the volume of the tank.

n = (P/T)V / R = 0.0033 atm/K (170 L) / 0.08206 atm L/mol K
n = 6.94 mol

M = n x MM
M = 6.94 mol (32.0 g/mol)
M =222.04 g