Two vessels A and B of equal volume `(V_0)` are connected by a narrow tube which can be closed by a value. The vessels are fitted with piston which can be moved to change the volumes. Initially, the valve is open and the vessels contain an ideal gas `(C_p / C_v = gamma )` at atomspheric pressures`(P_0)` and atmoshpeheric temperature `(T_0)`. The walls of the vessels A are diathermic and those of B are adiabatic. The value is now closed and the pistons are slowly pulled out to increase the volumes of the of the vessels to dobuled the original value.(a) Find the temperatures and pressures in the two vessels. (b) The value is now opened for sufficeint time so that the gases acquire a common tempertures and pressures . Find the new values of the temperatuere and the pressures.

Two containers A and B of equal volume V_(0)//2 each are connected by a narrow tube which can be closed by a value. The containers are fitted with pistons which can be moved to change the volumes. Initially the value is open and the containers contain an ideal gas (C_(p)//C_(v)=gamma) at atmospheric pressure P_(0) and atmospheric temperature 2T_(0) . The walls of the containers A are highly conducting and of B are non-conducting. The value is now closed and the pistons are slowly pulled out to increase the volumes of the containers to double the original value. (a) Calculate the temperature and pressure in the two containers. (b) The value is now opened for sufficient time so that the gases acquire a common temperature and pressure. Find the new values of the temperature and the pressure.

Two containers A and B of equal volume V_(0)//2 each are connected by a narrow tube which can be closed by a value. The containers are fitted with pistons which can be moved to change the volumes. Initially the value is open and the containers contain an ideal gas (C_(p)//C_(v)=gamma) at atmospheric pressure P_(0) and atmospheric temperature 2T_(0) . The walls of the containers A are highly conducting and of B are non-conducting. The value is now closed and the pistons are slowly pulled out to increase the volumes of the containers to double the original value. (a) Calculate the temperature and pressure in the two containers. (b) The value is now opened for sufficient time so that the gases acquire a common temperature and pressure. Find the new values of the temperature and the pressure.

Two closed vessel A and B of equal volume of 8.21 L are connected by a narrow tube of negligible volume with open valve. The left hand side container is found to contain 3 mole CO_(2) and 2 mole of He at 400 K. What is the partial pressure of He in vessel B at 400 K?

Two closed vessels of equal volume contain air at P_(0) pressure, T_(0) temperature and are connected through a narrow tube, If one of the vessels is now maintained at T_(0) and other at T, what will be the pressure in the vessels?

Conider a given sample of an ideal gas (C_p / C_v = gamma ) having initial pressure (p_0) and volume (V_0) . (a) The gas is isothermally taken to a pressure (P_0 / 2 ) and from there adiabatically ta a pressure (p_0 / 2) and from there isothermally to a pressure (p_0 / 4 ) . find the volume.

Conider a given sample of an ideal gas (C_p / C_v = gamma ) having initial pressure (p_0) and volume (V_0) . (a) The gas is isothermally taken to a pressure (P_0 / 2 ) and from there adiabatically ta a pressure (p_0 / 2) and from there isothermally to a pressure (p_0 / 4 ) . find the volume.

Conider a given sample of an ideal gas (C_p / C_v = gamma ) having initial pressure (p_0) and volume (V_0) . (a) The gas is isothermally taken to a pressure (P_0 / 2 ) and from there adiabatically ta a pressure (p_0 / 2) and from there isothermally to a pressure (p_0 / 4 ) . find the volume.

Two vessels A and B are filled with same gas where volume, temperature and pressure in vessel A is twice the volume, temperature and pressure in vessel B. Calculate the ratio of number of molecules of gas in vessel A to that in vessel B.