Which of the following statements is correct?

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(B) The specific heat of a gas is defined as the amount of heat required to increase the temperature of $1 	ext{ mole}$ of the gas by $1 	ext{ K}$ (

Vedclass · Accepted Answer

$A$ gas has infinite number of specific heats

Vedclass · Answer

(B) The specific heat of a gas is defined as the amount of heat required to increase the temperature of $1 	ext{ mole}$ of the gas by $1 	ext{ K}$ (or $1^{\circ}C$).During different thermodynamic processes,the work done by the gas and the change in internal energy vary.Since the specific heat $C$ is given by $C = \frac{dQ}{dT} = \frac{dU}{dT} + \frac{dW}{dT}$,and the work done $dW$ depends on the path (process) taken,the value of $C$ is not fixed.Because there are an infinite number of possible thermodynamic processes,a gas can have an infinite number of specific heats.Therefore,option $B$ is correct.

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