JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
Match List - I with List - II.
| List - I (Partial Derivatives) | List - II (Thermodynamic Quantity) |
| (A)\(\left(\frac{\partial \mathrm{G}}{\partial \mathrm{T}}\right)_{\mathrm{P}}\) | (I) Cp |
| (B) \(\left(\frac{\partial \mathrm{H}}{\partial \mathrm{T}}\right)_{\mathrm{P}}\) | (II) -S |
| (C) \(\left(\frac{\partial G}{\partial P}\right)_T\) | (III) Cv |
| (D) \(\left(\frac{\partial \mathrm{U}}{\partial \mathrm{T}}\right)_{\mathrm{V}}\) | (IV) V |
Choose the correct answer from the options given below :
- A (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
- B (A)-(I), (B)-(II), (C)-(IV), (D)-(III)
- C (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
- D (A)-(II), (B)-(III), (C)-(I), (D)-(IV)
Answer & Solution
Correct Answer
(C) (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \because \mathrm{dH}=\mathrm{dq} \text { (at } \mathrm{P}=\text { constant) } \\ & \mathrm{dH}=\mathrm{CpdT}^{\mathrm{dT}} \\ & \left(\frac{\mathrm{dH}}{\mathrm{dT}}\right)_{\mathrm{P}}=\mathrm{C}_{\mathrm{P}} \\ & \mathrm{dU}=\mathrm{dq} \quad \text { (at }…
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