Molar specific heat at constant pressure $C_p$ is related to internal energy $U$ and absolute temperature…
Molar specific heat at constant pressure $C_p$ is related to internal energy $U$ and absolute temperature $T$ as $C_p$ is equal to
- $\frac{U}{T}$
- $\frac{d U}{d T}$
- $\frac{d U}{d T}+R$
- $U \times T$
Solution
From Mayer's formula,
$
C_p-C_V=R \Rightarrow C_p=C_V+R
$
At constant volume, heat capacity,
$
\begin{aligned}
\frac{d Q}{d T} & =\frac{d U}{d T} \\
\Rightarrow \quad C_V & =\frac{d U}{d T}
\end{aligned} \quad(\because \Delta Q=\Delta U)
$
Hence, $C_p=\frac{d U}{d T}+R$
Asked in: AP EAMCET 2021 (25 Aug Shift 1)
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