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Consider a gas enclosed in a container. ...

Consider a gas enclosed in a container. If two divide the container into three equal parts partition, then which of each of the following properties of gas will have the same value is each of the compartment?

A

Internal energy

B

Enthalpy

C

volume

D

Temperature

Text Solution

Verified by Experts

The correct Answer is:
D
Temperature is an intensive proterty, thus, its magnitude is independent of the quantitly of size of matter. Internal energy, enthaply and volume are extensive properties and, hence, their magnitudes depends on the quantity or size of matter.
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In Fig., a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. the lower compartment of the container is filled with 2 moles of an ideal monoatomic gas at 700 K and the upper compartment is filled with 2 moles of an ideal diatomic gas at 400 K. the heat capacities per mole of an ideal monoatomic gas are C_(upsilon) = (3)/(2) R and C_(P) = (5)/(2) R , and those for an ideal diatomic gas are C_(upsilone) = (5)/(2) R and C_(P) = (7)/(2) R. Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the same. the total work done by the gases till the time they achieve equilibrium will be

In the figure, a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulated material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. The lower compartment of the container is filled with 2 moles of an ideal monatomic gas at 700K and the upper compartment is filled with 2 moles of an ideal diatmoic gas at 400K. The heat capacities per mole of an ideal monatomic gas are C_V=3/2R, C_P=5/2R, and those for an ideal diatomic gas are C_V=5/2R, C_P=7/2R, Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature of the gasses will be