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The heat change at constant volume (q(v)...

The heat change at constant volume `(q_(v))` is equal to

A

`DeltaU`

B

`DeltaH`

C

RT

D

`DeltaG`

Text Solution

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The correct Answer is:
To determine the heat change at constant volume (denoted as \( q_v \)), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the System**: - We start by considering a thermodynamic system where we can either add heat \( Q \) to the system or remove heat from it. 2. **Constant Volume Condition**: - The condition of constant volume implies that the volume of the system does not change during the process. This means that no work is done by the system (since work done \( W = P \Delta V \) and \( \Delta V = 0 \)). 3. **Heat Change Definition**: - The heat change in a system can be defined in terms of the internal energy change. According to the first law of thermodynamics, the change in internal energy \( \Delta U \) of a system is equal to the heat added to the system minus the work done by the system: \[ \Delta U = Q - W \] 4. **Applying Constant Volume**: - Since we are at constant volume, the work done \( W = 0 \). Therefore, the equation simplifies to: \[ \Delta U = Q \] 5. **Conclusion**: - Thus, at constant volume, the heat change \( q_v \) is equal to the change in internal energy: \[ q_v = \Delta U \] ### Final Answer: The heat change at constant volume \( q_v \) is equal to the change in internal energy \( \Delta U \). ---
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