Question Details

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will

Options

A

Increase

B

Decrease

C

Remain same

D

Decrease for some, while increase for others

Correct Answer :

Remain same

Solution :

Correct Option: Remain same

Step-by-step Explanation:

1. Understanding Temperature at the Molecular Level:
The temperature of a gas is directly related to the average kinetic energy associated with the random, disordered motion (thermal motion) of its molecules relative to the center of mass of the gas (or the walls of the container). The expression for the average translational kinetic energy of a gas molecule is:

K·E=32kBT

where kB is the Boltzmann constant and T is the absolute temperature of the gas.

2. Effect of the Lorry's Motion:
When the cooking gas containers are kept in a lorry moving with a uniform speed, all the gas molecules acquire a common, ordered velocity in the direction of the lorry's motion. This represents the bulk kinetic energy of the gas as a whole.

3. Distinction between Ordered and Disordered Motion:
The bulk motion (ordered motion) of the gas container does not alter the relative, random motion (disordered motion) of the gas molecules inside the container. Since temperature is determined solely by the disordered thermal motion of the molecules relative to the container, the translational kinetic energy of the bulk motion does not contribute to the temperature of the gas.

4. Conclusion:
Because the average random kinetic energy of the gas molecules relative to the container remains constant, the temperature of the gas inside the containers will remain the same.

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