IIT Jee Problem: Initially a gas of diatomic molecules contained in a cylinder of volume V1 and pressure P1

Initially a gas of diatomic molecules is contained in a cylinder of volume V_1 at a pressure P_1 and temperature 250 K. Assuming that 25% of the molecules get dissociated causing a change in number of moles. The pressure of the resulting gas, at temperature 2000 K, when contained in a volume 2V_1 is given by P_2 . The ratio P_2//P_1 is ________.

Energy of all molecules of a monatomic gas having a volume V and pressure P is 3//2 PV . The total translational kinetic energy of all molecules of a diatomic gas at the same volume and pressure is

An ideal gas is in a container of volume V_0 at pressure P_0 If the same amount of gas is in container of volume 3V_0 at pressure P_0 . then the ratio of final average translational kinetic energy to the initial average translational kinetic energy of the gaseous molecule is

An ideal gas is initially at P_1,V_1 is expands to P_2,V_2 isothermally and then compressed adiabatically to the same volume V_1 and pressure P_3. If W is the net work done by the gas in complete process which of the following is true.

An ideal gas is initially at P_1,V_1 is expands isothermally to P_2,V_2 and then compressed adiabatically to the same volume V_1 and pressure P_3. If W is the net work done by the gas in complete process which of the following is true.

On increasing the temperature, the root mean square speed of molecules of a gas filled in a container becomes double, now the pressure of the gas relative to the initial pressure will be

The specific heats, C_(P) and C_(V) of a gas of diatomic molecules, A are given (in units of Jmol^(-1) K^(-1) ) by 29 and 22 , respectively. Another gas of diatomic molecules , B has the corresponding values 30 and 21. if they are treated as ideal gases, then :

An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature T_1 , pressure P_1 and volume V_1 and the spring is in its relaxed state. The gas is then heated very slowly to temperature T_2 ,pressure P_2 and volume V_2 . During this process the piston moves out by a distance x. Ignoring the friction between the piston and the cylinder, the correct statement (s) is (are)

At pressure P and absolute temperature T a mass M of an ideal gas fills a closed container of volume V. An additional mass 2M of the same gas is added into the container and the volume is then reduced to V/3 and the temperature to T/3 . The pressure of the gas will now be:

A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole of rigid diatomic gas is initially at pressure P_0 volume V_0 and temperature T_0 . If the gas mixture is adiabatically compressed to a volume V_0//4 , then the correct statement(s) is(are) : (Given R is gas constant)