MHT CET Medical202622 April 2026Evening ShiftChemistryStates of MatterActual
The density of a gas at 27^ C and 1 atm pressure is 2.6 g/dm ^3 . What is molar mass of gas? [R = 0.0821 L atm K ⁻¹ mol ⁻¹]
Options
- A52.2 g/mol
- B60 g/mol
- C64.04 g/mol
- D72 g/mol
Correct answer
C. 64.04 g/mol
Step-by-step solution
The ideal gas equation in terms of density is given by PM = dRT , where P is pressure, M is molar mass, d is density, R is the universal gas constant, and T is temperature. Given: P = 1 atm d = 2.6 g/dm ^3 = 2.6 g/L T = 27^ C = 27 + 273 = 300 K R = 0.0821 L atm K ⁻¹ mol ⁻¹ Substituting the values into the formula: M = dRT P M = 2.6 0.0821 300 1 M = 2.6 24.63 = 64.038 g/mol Rounding off, we get M = 64.04 g/mol . Answer: 64.04 g/mol