Q120 / 200 · MHT CET - Medical 2026 (21 April Shift 1) · Chemistry
Which of the following processes exhibits that $\Delta U = Q_v$ ?
- AIsothermal
- BIsobaric
- Correct answerCIsochoric
- DAdiabatic
Solution
According to the first law of thermodynamics, the change in internal energy is given by $\Delta U = Q + W$.
The work done by the system is $W = -P \Delta V$.
For an isochoric process, the volume remains constant, which means $\Delta V = 0$.
Therefore, the work done $W = 0$.
Substituting this into the first law equation, we get $\Delta U = Q$.
Since the heat is exchanged at constant volume, it is denoted as $Q_v$. Thus, $\Delta U = Q_v$ for an isochoric process.
Answer: Isochoric
The work done by the system is $W = -P \Delta V$.
For an isochoric process, the volume remains constant, which means $\Delta V = 0$.
Therefore, the work done $W = 0$.
Substituting this into the first law equation, we get $\Delta U = Q$.
Since the heat is exchanged at constant volume, it is denoted as $Q_v$. Thus, $\Delta U = Q_v$ for an isochoric process.
Answer: Isochoric
Hence, the correct answer is option: 'C'.