If c_p and c_v denote the specific heats (per | vedclass

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(C) Let $C_p$ and $C_v$ be the molar specific heats of the ideal gas at constant pressure and constant volume,respectively.The relationship between mo

Vedclass · Accepted Answer

$c_p - c_v = R/M$

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(C) Let $C_p$ and $C_v$ be the molar specific heats of the ideal gas at constant pressure and constant volume,respectively.The relationship between molar specific heat $(C)$ and specific heat per unit mass $(c)$ is given by $C = M 	imes c$,where $M$ is the molecular weight.Therefore,$C_p = M c_p$ and $C_v = M c_v$.According to Mayer's relation for an ideal gas,the difference between molar specific heats is equal to the universal gas constant: $C_p - C_v = R$.Substituting the expressions for $C_p$ and $C_v$,we get: $M c_p - M c_v = R$.Dividing both sides by $M$,we obtain: $c_p - c_v = R/M$.

If $c_p$ and $c_v$ denote the specific heats (per unit mass) of an ideal gas of molecular weight $M$,then which of the following relations holds true,where $R$ is the molar gas constant?

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