If a gas expan ds at constan t temperature, it indicates that : [2008]...
At an y constan t temper ature the K.E. of gaseous molecules remains same. (K.E. ∝ T).
Thus option (c) is correct answer.
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If a gas expan ds at constan t temperature, it indicates that : [2008]...
Gas Expansion at Constant Temperature
Introduction:
When a gas expands at constant temperature, it means that the system is undergoing an isothermal process. In an isothermal process, the temperature remains constant throughout the expansion or compression. This can be achieved by providing or removing heat from the system to maintain a constant temperature.
Explanation:
In the given scenario, when a gas expands at constant temperature, the following changes occur:
1. Kinetic Energy of Molecules:
The kinetic energy of gas molecules is directly related to their temperature. As the temperature remains constant during the expansion, it indicates that the kinetic energy of molecules also remains constant. This is because the average kinetic energy of gas molecules is directly proportional to the temperature of the gas according to the kinetic theory of gases.
2. Pressure of the Gas:
According to Boyle's Law, for a given amount of gas at constant temperature, the pressure and volume are inversely proportional to each other. When the gas expands, its volume increases, and according to Boyle's Law, the pressure decreases. Therefore, the pressure of the gas decreases during expansion at constant temperature, and it does not increase.
3. Number of Molecules of Gas:
The number of molecules of gas remains constant during the expansion at constant temperature. The expansion occurs within a closed system, which means no molecules are added or removed from the system. Therefore, the number of gas molecules remains the same.
Conclusion:
In conclusion, when a gas expands at constant temperature, the kinetic energy of molecules remains the same, the pressure of the gas decreases, and the number of molecules of gas remains constant. Therefore, the correct answer is option 'C' - kinetic energy of molecules remains the same.
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