A rigid container holds 5 g of a gas, which is heated from 15^ C to 25^ C . The specific heat capacity of the gas at constant volume is 0.172 cal g ⁻¹ ^ C⁻¹ and the mechanical equivalent of heat is 4.2 J cal ⁻¹ . Determine the change in the

Question

A rigid container holds 5 g of a gas, which is heated from 15^ C to 25^ C . The specific heat capacity of the gas at constant volume is 0.172 cal g ⁻¹ ^ C⁻¹ and the mechanical equivalent of heat is 4.2 J cal ⁻¹ . Determine the change in the internal energy of the gas.

Quantrex Academy · Accepted Answer

Correct answer: B. 36.12 J

For a rigid container, the volume remains constant, so the work done by the gas is zero. From the first law of thermodynamics, the change in internal energy is equal to the heat supplied at constant volume: U = Q = m c_v T Substituting the given values: U = 5 0.172 (25 - 15) U = 5 0.172 10 = 8.6 cal Converting the energy to Joules using the mechanical equivalent of heat J = 4.2 J cal ⁻¹ : U = 8.6 4.2 = 36.12 J

A rigid container holds 5 g of a gas, which is heated from 15^ C to 25^ C . The specific heat capacity of the gas at constant volume is 0.172 cal g ⁻¹ ^ C⁻¹ and the mechanical equivalent of heat is 4.2 J cal ⁻¹ . Determine the change in the internal energy of the gas.

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