Choose the correct answer from the options given below.
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In thermodynamics, understanding the type of process is key to identifying the correct work formula. Isothermal, adiabatic, isochoric, and isobaric processes each have distinct equations for work done based on temperature, volume, and pressure changes.
Step 1: Understand each process and corresponding work done. Let’s review the work done for each thermodynamic process: Isothermal process (A): In this process, the temperature remains constant. The work done is given by: \[ W = \mu RT \ln \left( \frac{V_2}{V_1} \right) \] Hence, the correct matching for A is III. Adiabatic process (B): In this process, there is no heat exchange, and the work done is related to the change in temperature by the formula: \[ W = \mu R \frac{(T_1 - T_2)}{(y - 1)} \] Hence, the correct matching for B is IV. Isochoric process (C): In this process, the volume is constant, so no work is done. Therefore, the work done is zero. Hence, the correct matching for C is I. Isobaric process (D): In this process, the pressure is constant, and the work done is given by: \[ W = \mu RT(T_2 - T_1) \] Hence, the correct matching for D is II. Step 2: Conclusion. The correct answer is (1) A-III, B-IV, C-I, D-II.
