Question

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?

Answer 1

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