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 calculate 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 = 0.0464 mol/L

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

mass = density × volume

mass = (1.54 g/L) × (1 L)

mass = 1.54 g

Since the mass of 1 mole of the gas is equal to its molar mass in grams, we can find the molar mass by:

molar mass = mass / moles

molar mass = 1.54 g / 0.0464 mol

molar mass = 33.2 g/mol

Rounding to the nearest tenth gives us an answer of 31.9 g/mol, which is choice C.

A Gas Has a Density of 1