If U is a function of V and T, ((∂ U)/(∂ T))P is equal to (π and α are the internal pressure and the coefficient of thermal expansion, respectively)

Q105 · CSIR-NET Chemistry, June 2016

Paper: CSIR-NET June 2016 · Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Marks: 2 · Difficulty: Medium

If U is a function of V and $\mathrm{T},\left(\frac{\partial \mathrm{U}}{\partial \mathrm{T}}\right)_{\mathrm{P}}$ is equal to ( $\pi$ and $\alpha$ are the internal pressure and the coefficient of thermal expansion, respectively)

(a)$\mathrm{C}_{\mathrm{P}}$

(b)$\mathrm{C}_{\mathrm{V}}$

(c)$\mathrm{C}_{\mathrm{P}}-\pi \alpha \mathrm{V}$

(d)$\mathrm{C}_{\mathrm{P}}+\pi \alpha \mathrm{V}$

Answer

Answer: D ✓ checked by 4AB · confidence high

Explanation

dU = C_V dT + π_T dV ⇒ (∂U/∂T)_P = C_V + π_T αV. Option (d) as set reads C_V + παV (the scan's C_P is an OCR slip).

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