Question

At 2 bar pressure and 300K temperature the density of a gas is found to be 54.6g/l. What is the molar mass

Answer 1

Given:

Pressure, P = 2 bar

Temperature, T = 300 K

Density, d = 54.6 g/L

To Find:

Molar Mass of the gas, i.e., M.

Calculation:

- Using ideal gas equation, we get:

P V = n R T

⇒ P V = (m / M) R T

⇒ P M = (m / V) R T

⇒ P M = d R T

⇒ M = d R T/ P

⇒ M = 54.6 × 0.0831 × 300 / 2

⇒ M = 680.59 gm

- So, the molar mass of the gas is 680.59 gm.

Answer 2

Answer:

680.43 g/mol

Explanation:By using the ideal gas Law

PV = nRT

For Density the Equation is ,

PM = dRT

 M = dRT/P

 M = 54.6 * 0.082 * 300/1.974

 M = 1343.16/1.974

 M = 680.43 g/mol

So the Molar Mass is 680.43 g/mol