The specific heat of a diatomic gas is Cp = 14.7 J / kg * K. Find the molar mass of this gas.

Initial data: sr (specific heat capacity of a diatomic gas) = 14.7 J / (kg * K); R (universal gas constant) = 8.31 J / (mol * K).

Reference data: i (the number of degrees of freedom in diatomic gas molecules) = 5;

The molar mass of the taken gas is determined by the formula: M = Cp / cf = (Cv + R) / cf = (i * R / 2 + R) / cf = (R * (i + 2) / 2) / cf = R * (i + 2) / 2sr.

Calculation: M = 8.31 * (5 + 2) / (2 * 14.7) ≈ 2 kg / mol.

Answer: The molar mass of the gas taken is 2 kg / mol.