Question:
In which of the following processes does the internal energy of the gas remain unaffected?
In which of the following processes does the internal energy of the gas remain unaffected?
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For ideal gases: internal energy depends only on temperature, so isothermal process implies constant internal energy.
Updated On: Jun 19, 2026
- Isobaric process
- Adiabatic process
- Isochoric process
- Isothermal process
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The Correct Option is D
Solution and Explanation
Step 1: Relation of internal energy.
For an ideal gas, internal energy depends only on temperature: \[ U \propto T \]
Step 2: Condition for constant internal energy.
If internal energy remains unchanged, temperature must remain constant.
Step 3: Identify correct process.
A process with constant temperature is: \[ \text{Isothermal process} \]
Step 4: Check other processes.
- Isobaric: pressure constant, temperature changes - Isochoric: volume constant, temperature changes - Adiabatic: no heat exchange, temperature changes
Step 5: Conclusion logic.
Only isothermal process ensures no change in internal energy.
Step 6: Final conclusion.
Hence, correct answer is isothermal process.
Final Answer: \[ \boxed{\text{Isothermal process}} \]
For an ideal gas, internal energy depends only on temperature: \[ U \propto T \]
Step 2: Condition for constant internal energy.
If internal energy remains unchanged, temperature must remain constant.
Step 3: Identify correct process.
A process with constant temperature is: \[ \text{Isothermal process} \]
Step 4: Check other processes.
- Isobaric: pressure constant, temperature changes - Isochoric: volume constant, temperature changes - Adiabatic: no heat exchange, temperature changes
Step 5: Conclusion logic.
Only isothermal process ensures no change in internal energy.
Step 6: Final conclusion.
Hence, correct answer is isothermal process.
Final Answer: \[ \boxed{\text{Isothermal process}} \]
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