Question:
The average force applied on the walls of a closed container depends as \( T^x \), where \( T \) is the temperature of an ideal gas. The value of \( x \) is
The average force applied on the walls of a closed container depends as \( T^x \), where \( T \) is the temperature of an ideal gas. The value of \( x \) is
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In ideal gas laws, pressure is proportional to temperature, so the force applied on the walls depends linearly on the temperature.
Updated On: Feb 18, 2026
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The Correct Option is A
Solution and Explanation
Step 1: Relationship between pressure and temperature.
For an ideal gas, the pressure is directly proportional to the temperature. The average force on the walls of the container is related to the pressure of the gas, which depends on the temperature as \( P \propto T \). The force is proportional to the pressure, so the force depends on \( T^1 \).
Step 2: Conclusion.
Thus, the value of \( x \) is 1, corresponding to option (A).
For an ideal gas, the pressure is directly proportional to the temperature. The average force on the walls of the container is related to the pressure of the gas, which depends on the temperature as \( P \propto T \). The force is proportional to the pressure, so the force depends on \( T^1 \).
Step 2: Conclusion.
Thus, the value of \( x \) is 1, corresponding to option (A).
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