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	\( q = \Delta U \)

• A. A - (iv), B - (iii), C - (ii), D - (i)
• B. A - (iii), B - (iv), C - (i), D - (ii)
• C. A - (ii), B - (iii), C - (i), D - (iv)
• D. A - (i), B - (ii), C - (iv), D - (iii)

Hint:

Match thermodynamic processes with their characteristic energy equations.

Answer 1

The Correct Option is A

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 $q = \Delta U$