A 248 mL gas sample has a mass of 0.433 g at a pressure of 745 mmHg and a temperature of 28 °C. What is the molar mass of the gas?

The molar mass of the gas is 44.0 g/mol

Explanation:

To calculate the molar mass of the gas, we use the equation given by ideal gas equation:

PV = nRT

Or,

where,

P = Pressure of the gas  = 745 mmHg

V = Volume of the gas  = 248 mL = 0.248 L   (Conversion factor:  1 L = 1000 mL)

w = Weight of the gas  = 0.433 g

M = Molar mass of gas = ?

R = Gas constant =

T = Temperature of the gas =

Putting values in above equation, we get:

Hence, the molar mass of the gas is 44.0 g/mol