Find the specific heat (in cal/mole K) of a gas kept at constant volume when it takes 1.0 × 10⁴ J of heat to raise the temperature of 5.0 moles of the gas 200 K above the initial temperature. A) 7.5 B) 5.0 C) 2.4 D) 10 E) 20

Question

Quizplus · Accepted Answer

The specific heat at constant volume (Cv) is given by the equation Q = nCvΔT, where Q is the heat supplied, n is the number of moles, and ΔT is the change in temperature. Rearranging the equation, we get Cv = Q/(nΔT). Substituting the given values, we get Cv = (1.0 × 10^14 J)/(5.0 moles × 200 K) = 2.4 cal/mole K. Therefore, the best choice is C.

Find the Specific Heat (In Cal/mole K) of a Gas