An adiabatic vessel of total volume V is divided into two equal parts by a conducting separtor. The is fixed in this position. The part on the left contains one mole of an ideal gas `(U=1.5 nRT)` and the part on the right contains two moles of the same gas. initially, the pressure on each side is p. the system is left for sufficiant time so that a steady state is reached. find (a) the work done by the gas in the left part during the process, (b) the temperature on the two sides in the beginning, (c ) the final common temperature reached by the gases, (d) the heat given to the gas in the right part and (e) the increase in the internal energy of the gas in the left part.

An adiabatic vessel of total volume V is divided into two equal parts by a conducting separator. The separator is fixed in this position. The part on the left contains one mole of an ideal gas (U=1.5 nRT) and the part on the right contains two moles of the same gas. initially, the pressure on each side is p. the system is left for sufficient time so that a steady state is reached. find (a) the work done by the gas in the left part during the process, (b) the temperature on the two sides in the beginning, (c ) the final common temperature reached by the gases, (d) the heat given to the gas in the right part and (e) the increase in the internal energy of the gas in the left part.

An adiabatic vessel of total volume V is divided into two equal parts by a conducting separator. The separator is fixed in this position. The part on the left contains one mole of an ideal gas (U=1.5 nRT) and the part on the right contains two moles of the same gas. initially, the pressure on each side is p. the system is left for sufficient time so that a steady state is reached. find (a) the work done by the gas in the left part during the process, (b) the temperature on the two sides in the beginning, (c ) the final common temperature reached by the gases, (d) the heat given to the gas in the right part and (e) the increase in the internal energy of the gas in the left part.

An insulting container of volume 2V_(0) is divided in two equal parts by a diathermic (conducting) fixed piston. The left part contains one mole of monoatomic ideal gas whereas right part contains two moles of the same gas. Initial pressue on each side is P_(0) . The system is left for sufficient time so that a steady state is reached. Find (a) the work done by the gas in the left part during the process, (b) initial temperature in the two sides, (c) the final common temperature reached by the gases, (d) the heat given to the gas in the right part and (e) the increase in the internal energy of the gas in the left part.

An insulting container of volume 2V_(0) is divided in two equal parts by a diathermic (conducting) fixed piston. The left part contains one mole of monoatomic ideal gas whereas right part contains two moles of the same gas. Initial pressue on each side is P_(0) . The system is left for sufficient time so that a steady state is reached. Find (a) the work done by the gas in the left part during the process, (b) initial temperature in the two sides, (c) the final common temperature reached by the gases, (d) the heat given to the gas in the right part and (e) the increase in the internal energy of the gas in the left part.

A vessel of volume V is divided into two parts by a partition. The pressure of the gas in one part is p_(1) and that in the other part is p_(2) . If the partition is removed find the pressure of the gas in the vessel.

shows a cylindrial tube of volume V with adiabatic walls containing an ideal gas. The internal energy of this ideal gas is given by 1.5nRT. The tube is divided into two equal parts by a fixed diathermic wall. Initially, the pressure and the tempreture are p_(1), T_(1) on the left and p_(2), T_(2) on the right. the system is left for sufficient time so that the tempreture becomes equal on the two sides. (a) how much work has been done by the gas on the left part ? (b) find the final pressures on the two sides. (c ) find the final equilibrium tempreture. (d) how much heat has flown from the gas on the right to the gas on the left ?

Fig shows a cylindrical tube of volume V with adiabatic walls containing an ideal gas. The internal energy of this ideal gas is given by 1.5nRT. The tube is divided into two equal parts by a fixed diathermic wall. Initially, the pressure and the temperature are p_(1), T_(1) on the left and p_(2), T_(2) on the right. the system is left for sufficient time so that the temperature becomes equal on the two sides. (a) how much work has been done by the gas on the left part ? (b) find the final pressures on the two sides. (c ) find the final equilibrium temperature. (d) how much heat has flown from the gas on the right to the gas on the left ?

Fig shows a cylindrical tube of volume V with adiabatic walls containing an ideal gas. The internal energy of this ideal gas is given by 1.5nRT. The tube is divided into two equal parts by a fixed diathermic wall. Initially, the pressure and the temperature are p_(1), T_(1) on the left and p_(2), T_(2) on the right. the system is left for sufficient time so that the temperature becomes equal on the two sides. (a) how much work has been done by the gas on the left part ? (b) find the final pressures on the two sides. (c ) find the final equilibrium temperature. (d) how much heat has flown from the gas on the right to the gas on the left ?