Statement-1 : For a gas `R//C_(upsilon) = 0.4`. The gas must be diatomic.
Statement-2 : For diatomic gases, `C_(upsilon) = (5)/(2) R`.

Assertion : For monoatomic gas, R//C_(upsilon) = 0.67 . Reason : For a monoatomic gas C_(upsilon) = (3)/(2) R .

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 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 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. Consider the partition to be rigidly fixed so that it does not move. when equilibrium is achieved, the final temperature of the gases will be

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. Consider the partition to be rigidly fixed so that it does not move. when equilibrium is achieved, the final temperature of the gases will be

Statement-1 : C_(P)-C(upsilon) = R is true for monoatomic gases only. Statement-2 : The relation applies equally to all gases.

What is the value of R/(C_v) for diatomic gas?

What is the value of R/(C_v) for diatomic gas?

Statement-1: A reas gas nearly behaves like an ideal gas at low pressure and high temperature. Statement-2: If the ratio of translational and rotational degree of freedom is 1.5 the gas must be diatomic Statement-3: Most probable speed of a gas is proportional to absolute temperature of the gas.