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A container having some gas was kept in ...

A container having some gas was kept in a moving train. The temperature of the gas in the container will

A

increase slightly

B

decrease

C

remain the same

D

become infinite

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the temperature of gas in a container kept in a moving train, we will analyze the situation step by step. ### Step 1: Understand the System The container with gas is placed in a moving train. The train's movement implies that the container is in a dynamic environment. **Hint:** Consider how the motion of the train affects the gas molecules inside the container. ### Step 2: Kinetic Energy of Gas Molecules Gas molecules are in constant motion, and their kinetic energy is related to the temperature of the gas. The relationship is given by the formula: \[ KE = \frac{3}{2} kT \] where \( KE \) is the average kinetic energy of the gas molecules, \( k \) is the Boltzmann constant, and \( T \) is the absolute temperature. **Hint:** Recall that temperature is a measure of the average kinetic energy of the molecules in a gas. ### Step 3: Effect of Train's Motion When the train moves, the kinetic energy of the gas molecules in the container can be affected. The motion of the train can lead to an increase in the kinetic energy of the gas molecules due to the relative motion. **Hint:** Think about how the motion of the container might influence the motion of the gas molecules inside it. ### Step 4: Conclusion on Temperature Change Since the kinetic energy of the gas molecules increases due to the motion of the train, the temperature of the gas will also increase. Therefore, the temperature of the gas in the container will increase slightly. **Hint:** Remember that an increase in kinetic energy directly correlates to an increase in temperature. ### Final Answer The temperature of the gas in the container will **increase slightly**.
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