How much thermal energy must be added to 7.9 moles of a diatomic ideal gas to raise its temperature 22.4 K?

Question

How much thermal energy must be added to 7.9 moles of a diatomic ideal gas to raise its temperature 22.4 K?
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Quizplus · Accepted Answer

For a diatomic ideal gas, the molar specific heat at constant volume, Cv, is approximately 5/2 R. The thermal energy added, Q, can be calculated using Q = n * Cv * ΔT, where n is the number of moles, R is the ideal gas constant (8.314 J/mol·K), and ΔT is the temperature change. Substituting the values, Q = 7.9 * (5/2 * 8.314) * 22.4 = 3,676 J.

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