Question:
An ideal gas at constant temperature and pressure expands, then its:
An ideal gas at constant temperature and pressure expands, then its:
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In an isothermal expansion, the internal energy of an ideal gas remains constant because temperature does not change.
Updated On: Apr 22, 2026
- Internal energy remains same
- Internal energy decreases
- Internal energy increases
- Entropy first increases and then decreases
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the relationship between energy and ideal gas expansion.
For an ideal gas undergoing an expansion at constant temperature and pressure, the internal energy remains unchanged because the temperature does not change. The internal energy of an ideal gas is only a function of temperature.
Step 2: Explanation of the options.
- (1) Internal energy remains same: This is correct because for an ideal gas, internal energy depends only on temperature, which remains constant in this process.
- (2) Internal energy decreases: Incorrect. The internal energy does not change in an isothermal process.
- (3) Internal energy increases: Incorrect. Again, internal energy does not change at constant temperature.
- (4) Entropy first increases and then decreases: This is incorrect. Entropy increases during expansion, but it doesn't decrease.
Step 3: Conclusion.
The correct answer is (1) Internal energy remains same.
For an ideal gas undergoing an expansion at constant temperature and pressure, the internal energy remains unchanged because the temperature does not change. The internal energy of an ideal gas is only a function of temperature.
Step 2: Explanation of the options.
- (1) Internal energy remains same: This is correct because for an ideal gas, internal energy depends only on temperature, which remains constant in this process.
- (2) Internal energy decreases: Incorrect. The internal energy does not change in an isothermal process.
- (3) Internal energy increases: Incorrect. Again, internal energy does not change at constant temperature.
- (4) Entropy first increases and then decreases: This is incorrect. Entropy increases during expansion, but it doesn't decrease.
Step 3: Conclusion.
The correct answer is (1) Internal energy remains same.
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