Question:
Match the Following:
Process Option Expression A. Isothermal process iv \( W = -nRT \ln\left( \frac{V_f}{V_i} \right) \) B. Adiabatic process iii \( W = \Delta U \) C. Isobaric process ii \( W = -P \times \Delta V \) D. Isochoric process i \( q = \Delta U \)
Match the Following:
| Process | Option | Expression |
|---|---|---|
| A. Isothermal process | iv | \( W = -nRT \ln\left( \frac{V_f}{V_i} \right) \) |
| B. Adiabatic process | iii | \( W = \Delta U \) |
| C. Isobaric process | ii | \( W = -P \times \Delta V \) |
| D. Isochoric process | i | \( q = \Delta U \) |
Show Hint
Match thermodynamic processes with their characteristic energy equations.
Updated On: Mar 18, 2026
- A - (iv), B - (iii), C - (ii), D - (i)
- A - (iii), B - (iv), C - (i), D - (ii)
- A - (ii), B - (iii), C - (i), D - (iv)
- A - (i), B - (ii), C - (iv), D - (iii)
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The Correct Option is A
Solution and Explanation
Isothermal: $W = -nRT \ln\left(\frac{V_f}{V_i}\right)$
Adiabatic: $q = 0$, so $q = \Delta U$ (since $W = -\Delta U$)
Isobaric: $W = -P \Delta V$
Isochoric: Volume constant $\Rightarrow W = 0$, hence $q = \Delta U$
Adiabatic: $q = 0$, so $q = \Delta U$ (since $W = -\Delta U$)
Isobaric: $W = -P \Delta V$
Isochoric: Volume constant $\Rightarrow W = 0$, hence $q = \Delta U$
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