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 (Cv) of the gas kept at constant volume can be calculated using the formula:
ΔU = nCvΔT
where ΔU is the change in internal energy, n is the number of moles, ΔT is the change in temperature, and Cv is the specific heat at constant volume.

Rearranging the formula: 
Cv = ΔU / (nΔT)

Substituting the given values:
ΔU = 1.0 x 10^14 J
n = 5.0 moles
ΔT = 200 K

Cv = 1.0 x 10^14 J / (5.0 moles x 200 K) 
Cv = 2.4 cal/mole K

Therefore, the specific heat of the gas at constant volume is 2.4 cal/mole K, which corresponds to option C.

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