A quantity of 70 calories of heat is required to raise the temperature of 2 mole of an ideal gas at constant pressure from 40°C to 50°C. The amount of heat required to raise the temperature of the sam

Question

A quantity of 70 calories of heat is required to raise the temperature of 2 mole of an ideal gas at constant pressure from 40°C to 50°C. The amount of heat required to raise the temperature of the same gas through the same range at constant volume is

Prashant Kotian · Accepted Answer

Correct answer: D. At constant pressure: q_p = n * * dT => 70 = 2 * * (50 - 40) => 70 = 20 * => = 3.5 cal/mol-K. Since - = R, and R approx 2.0 cal/mol-K: = - R = 3.5 - 2.0 = 1.5 cal/mol-K. At constant volume: q_v = n * * dT = 2 * 1.5 * 10 = 30 calories.

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