> Q. If $c_p $ and $ c_v $ denote the specific heats (per unit) mass of an ideal gas of molecular weight M, then where R is the molar gas constant. – LIVE ANSWER TODAY

Q. If $c_p $ and $ c_v $ denote the specific heats (per unit) mass of an ideal gas of molecular weight M, then where R is the molar gas constant.

In This post you will get answer of Q.
If $c_p $ and $ c_v $ denote the specific heats (per unit) mass of an ideal gas of molecular weight M, then
where R is the molar gas constant.

Solution:

Let $C_v$ and $ C_p $ be molar specific heats of the ideal gas at constant volume and constant pressure, respectively, then

$C_p=Mc_p$ and $ C_v=Mc_v $

$C_P-C_V=R therefore , , , Mc_p-Mc_v=R$

$Rightarrow , , c_p-c_v=R/M $

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