A gas has a density of 1.54 grams/liter at 1.14 atm and 15°C.Calculate the molar mass of the gas.

Question

Quizplus · Accepted Answer

First, we need to use the ideal gas law to find the molar volume of the gas at the given conditions:

PV = nRT

n/V = P/RT

n/V = (1.14 atm)/(0.0821 L·atm/mol·K × 288 K)

n/V = 0.0448 mol/L

Next, we use the density to find the mass of 1 liter of the gas:

1.54 g/L = (0.0448 mol/L)·(molar mass g/mol)

molar mass = 1.54 g/0.0448 mol = 34.4 g/mol

Therefore, the molar mass of the gas is 34.4 g/mol, which corresponds to choice C (31.9 g/mol is the closest option, but it is not an exact match to the calculated value).

A Gas Has a Density of 1