Question:
A work of 166.28 J is done to adiabatically compress one mole of a gas. If the increase in the temperature of the gas is \( 8^\circ C \), the gas is:
A work of 166.28 J is done to adiabatically compress one mole of a gas. If the increase in the temperature of the gas is \( 8^\circ C \), the gas is:
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For adiabatic processes, use the relation \( W = n C_v \Delta T \) to identify the type of gas by comparing the work done and temperature change.
Updated On: May 15, 2025
- Monatomic
- Diatomic
- Polyatomic
- Mixture of diatomic and polyatomic
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The Correct Option is B
Solution and Explanation
Using the equation for work done during adiabatic compression \( W = n C_v \Delta T \), we calculate the type of gas based on the temperature change and the work done. Since the specific heat for a diatomic gas matches the given conditions, the gas is diatomic.
Thus, the correct answer is option (2).
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