At a temperature of 240K and a pressure of 1.66 * 10 ^ 5 PA, the gas density is 2kg / m ^ 3.

univerkov | October 10, 2021 | education

At a temperature of 240K and a pressure of 1.66 * 10 ^ 5 PA, the gas density is 2kg / m ^ 3. What is the molar mass of this gas?

Task data: T (absolute temperature) = 240 K; P (taken gas pressure) = 1.66 * 10 ^ 5 Pa; ρ (gas density) = 2 kg / m3.

Reference values: R (universal gas constant) = 8.31 J / (mol * K).

The molar mass of a given gas can be determined using the ideal gas equation of state: P * V = (m / M) * R * T; M = m * R * T / (P * V) = ρ * R * T / P.

Calculation: M = 2 * 8.31 * 240 / (1.66 * 10 ^ 5) = 0.024 kg / mol or 24 g / mol.

Answer: The gas taken has a molar mass of 24 g / mol.

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