Gaseous Mixture and Two Connected Chambers
PHXI13:KINETIC THEORY

360164 Figure shows two flasks connected to each other. The volume of the flask 1 is twice that of flask 2. The system is filled with an ideal gas at temperature \(100 \mathrm{~K}\) and \(200 \mathrm{~K}\) respectively. If the mass of the gas in 1 be \(m\) then what is the mass of the gas in flask 2
supporting img

1 \(m / 4\)
2 \(m / 2\)
3 \(m\)
4 \(m / 8\)
PHXI13:KINETIC THEORY

360165 Two diathermic pistons divide an adiabatic container in three equal parts as shown. An ideal gas is present in the three parts \(A,B{\text{ }}\& {\text{ }}C\) having initial pressures as shown and having same temperatures. Now the pistions are released. Then the final equilibrium length of part A after long time will be :
supporting img

1 \(L / 8\)
2 \(L / 4\)
3 \(L / 6\)
4 \(\mathrm{L} / 5\)
PHXI13:KINETIC THEORY

360166 3 moles of an ideal gas at a temperature of \(27^\circ C\) are mixed with 2 moles of an ideal gas at a temperature \(227^\circ C\), determine the equilibrium temperature of the mixture, assuming no loss of energy.

1 \(327^\circ C\)
2 \(107^\circ C\)
3 \(318^\circ C\)
4 \(410^\circ C\)
PHXI13:KINETIC THEORY

360167 If the internal energy of \(n_{1}\) moles of \(He\) at temperature \(10\,\,T\) is equal to the internal energy of \(n_{2}\) mole of hydrogen at temperature \(6\,\,T\). The ratio of \(\dfrac{n_{1}}{n_{2}}\) is

1 1
2 2
3 \(3 / 5\)
4 \(5 / 3\)
PHXI13:KINETIC THEORY

360168 Two thermally insulated vessels 1 and 2 are filled with air at temperatures \(\left(T_{1}, T_{2}\right)\) volume \(\left(V_{1}, V_{2}\right)\) and pressure \(\left(P_{1}, P_{2}\right)\) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

1 \({T_1}\,\,and\,\,{T_2}\)
2 \(\left( {{T_1} + {T_2}} \right)/2\)
3 \(\dfrac{T_{1} T_{2} P\left(V_{1}+V_{2}\right)}{P_{1} V_{1} T_{2}+P_{2} V_{2} T_{1}}\)
4 \(\dfrac{T_{1} T_{2}\left(P_{1} V_{1}+P_{2} V_{2}\right)}{P_{1} V_{1} T_{1}+P_{2} V_{2} T_{2}}\)
PHXI13:KINETIC THEORY

360164 Figure shows two flasks connected to each other. The volume of the flask 1 is twice that of flask 2. The system is filled with an ideal gas at temperature \(100 \mathrm{~K}\) and \(200 \mathrm{~K}\) respectively. If the mass of the gas in 1 be \(m\) then what is the mass of the gas in flask 2
supporting img

1 \(m / 4\)
2 \(m / 2\)
3 \(m\)
4 \(m / 8\)
PHXI13:KINETIC THEORY

360165 Two diathermic pistons divide an adiabatic container in three equal parts as shown. An ideal gas is present in the three parts \(A,B{\text{ }}\& {\text{ }}C\) having initial pressures as shown and having same temperatures. Now the pistions are released. Then the final equilibrium length of part A after long time will be :
supporting img

1 \(L / 8\)
2 \(L / 4\)
3 \(L / 6\)
4 \(\mathrm{L} / 5\)
PHXI13:KINETIC THEORY

360166 3 moles of an ideal gas at a temperature of \(27^\circ C\) are mixed with 2 moles of an ideal gas at a temperature \(227^\circ C\), determine the equilibrium temperature of the mixture, assuming no loss of energy.

1 \(327^\circ C\)
2 \(107^\circ C\)
3 \(318^\circ C\)
4 \(410^\circ C\)
PHXI13:KINETIC THEORY

360167 If the internal energy of \(n_{1}\) moles of \(He\) at temperature \(10\,\,T\) is equal to the internal energy of \(n_{2}\) mole of hydrogen at temperature \(6\,\,T\). The ratio of \(\dfrac{n_{1}}{n_{2}}\) is

1 1
2 2
3 \(3 / 5\)
4 \(5 / 3\)
PHXI13:KINETIC THEORY

360168 Two thermally insulated vessels 1 and 2 are filled with air at temperatures \(\left(T_{1}, T_{2}\right)\) volume \(\left(V_{1}, V_{2}\right)\) and pressure \(\left(P_{1}, P_{2}\right)\) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

1 \({T_1}\,\,and\,\,{T_2}\)
2 \(\left( {{T_1} + {T_2}} \right)/2\)
3 \(\dfrac{T_{1} T_{2} P\left(V_{1}+V_{2}\right)}{P_{1} V_{1} T_{2}+P_{2} V_{2} T_{1}}\)
4 \(\dfrac{T_{1} T_{2}\left(P_{1} V_{1}+P_{2} V_{2}\right)}{P_{1} V_{1} T_{1}+P_{2} V_{2} T_{2}}\)
PHXI13:KINETIC THEORY

360164 Figure shows two flasks connected to each other. The volume of the flask 1 is twice that of flask 2. The system is filled with an ideal gas at temperature \(100 \mathrm{~K}\) and \(200 \mathrm{~K}\) respectively. If the mass of the gas in 1 be \(m\) then what is the mass of the gas in flask 2
supporting img

1 \(m / 4\)
2 \(m / 2\)
3 \(m\)
4 \(m / 8\)
PHXI13:KINETIC THEORY

360165 Two diathermic pistons divide an adiabatic container in three equal parts as shown. An ideal gas is present in the three parts \(A,B{\text{ }}\& {\text{ }}C\) having initial pressures as shown and having same temperatures. Now the pistions are released. Then the final equilibrium length of part A after long time will be :
supporting img

1 \(L / 8\)
2 \(L / 4\)
3 \(L / 6\)
4 \(\mathrm{L} / 5\)
PHXI13:KINETIC THEORY

360166 3 moles of an ideal gas at a temperature of \(27^\circ C\) are mixed with 2 moles of an ideal gas at a temperature \(227^\circ C\), determine the equilibrium temperature of the mixture, assuming no loss of energy.

1 \(327^\circ C\)
2 \(107^\circ C\)
3 \(318^\circ C\)
4 \(410^\circ C\)
PHXI13:KINETIC THEORY

360167 If the internal energy of \(n_{1}\) moles of \(He\) at temperature \(10\,\,T\) is equal to the internal energy of \(n_{2}\) mole of hydrogen at temperature \(6\,\,T\). The ratio of \(\dfrac{n_{1}}{n_{2}}\) is

1 1
2 2
3 \(3 / 5\)
4 \(5 / 3\)
PHXI13:KINETIC THEORY

360168 Two thermally insulated vessels 1 and 2 are filled with air at temperatures \(\left(T_{1}, T_{2}\right)\) volume \(\left(V_{1}, V_{2}\right)\) and pressure \(\left(P_{1}, P_{2}\right)\) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

1 \({T_1}\,\,and\,\,{T_2}\)
2 \(\left( {{T_1} + {T_2}} \right)/2\)
3 \(\dfrac{T_{1} T_{2} P\left(V_{1}+V_{2}\right)}{P_{1} V_{1} T_{2}+P_{2} V_{2} T_{1}}\)
4 \(\dfrac{T_{1} T_{2}\left(P_{1} V_{1}+P_{2} V_{2}\right)}{P_{1} V_{1} T_{1}+P_{2} V_{2} T_{2}}\)
PHXI13:KINETIC THEORY

360164 Figure shows two flasks connected to each other. The volume of the flask 1 is twice that of flask 2. The system is filled with an ideal gas at temperature \(100 \mathrm{~K}\) and \(200 \mathrm{~K}\) respectively. If the mass of the gas in 1 be \(m\) then what is the mass of the gas in flask 2
supporting img

1 \(m / 4\)
2 \(m / 2\)
3 \(m\)
4 \(m / 8\)
PHXI13:KINETIC THEORY

360165 Two diathermic pistons divide an adiabatic container in three equal parts as shown. An ideal gas is present in the three parts \(A,B{\text{ }}\& {\text{ }}C\) having initial pressures as shown and having same temperatures. Now the pistions are released. Then the final equilibrium length of part A after long time will be :
supporting img

1 \(L / 8\)
2 \(L / 4\)
3 \(L / 6\)
4 \(\mathrm{L} / 5\)
PHXI13:KINETIC THEORY

360166 3 moles of an ideal gas at a temperature of \(27^\circ C\) are mixed with 2 moles of an ideal gas at a temperature \(227^\circ C\), determine the equilibrium temperature of the mixture, assuming no loss of energy.

1 \(327^\circ C\)
2 \(107^\circ C\)
3 \(318^\circ C\)
4 \(410^\circ C\)
PHXI13:KINETIC THEORY

360167 If the internal energy of \(n_{1}\) moles of \(He\) at temperature \(10\,\,T\) is equal to the internal energy of \(n_{2}\) mole of hydrogen at temperature \(6\,\,T\). The ratio of \(\dfrac{n_{1}}{n_{2}}\) is

1 1
2 2
3 \(3 / 5\)
4 \(5 / 3\)
PHXI13:KINETIC THEORY

360168 Two thermally insulated vessels 1 and 2 are filled with air at temperatures \(\left(T_{1}, T_{2}\right)\) volume \(\left(V_{1}, V_{2}\right)\) and pressure \(\left(P_{1}, P_{2}\right)\) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

1 \({T_1}\,\,and\,\,{T_2}\)
2 \(\left( {{T_1} + {T_2}} \right)/2\)
3 \(\dfrac{T_{1} T_{2} P\left(V_{1}+V_{2}\right)}{P_{1} V_{1} T_{2}+P_{2} V_{2} T_{1}}\)
4 \(\dfrac{T_{1} T_{2}\left(P_{1} V_{1}+P_{2} V_{2}\right)}{P_{1} V_{1} T_{1}+P_{2} V_{2} T_{2}}\)
PHXI13:KINETIC THEORY

360164 Figure shows two flasks connected to each other. The volume of the flask 1 is twice that of flask 2. The system is filled with an ideal gas at temperature \(100 \mathrm{~K}\) and \(200 \mathrm{~K}\) respectively. If the mass of the gas in 1 be \(m\) then what is the mass of the gas in flask 2
supporting img

1 \(m / 4\)
2 \(m / 2\)
3 \(m\)
4 \(m / 8\)
PHXI13:KINETIC THEORY

360165 Two diathermic pistons divide an adiabatic container in three equal parts as shown. An ideal gas is present in the three parts \(A,B{\text{ }}\& {\text{ }}C\) having initial pressures as shown and having same temperatures. Now the pistions are released. Then the final equilibrium length of part A after long time will be :
supporting img

1 \(L / 8\)
2 \(L / 4\)
3 \(L / 6\)
4 \(\mathrm{L} / 5\)
PHXI13:KINETIC THEORY

360166 3 moles of an ideal gas at a temperature of \(27^\circ C\) are mixed with 2 moles of an ideal gas at a temperature \(227^\circ C\), determine the equilibrium temperature of the mixture, assuming no loss of energy.

1 \(327^\circ C\)
2 \(107^\circ C\)
3 \(318^\circ C\)
4 \(410^\circ C\)
PHXI13:KINETIC THEORY

360167 If the internal energy of \(n_{1}\) moles of \(He\) at temperature \(10\,\,T\) is equal to the internal energy of \(n_{2}\) mole of hydrogen at temperature \(6\,\,T\). The ratio of \(\dfrac{n_{1}}{n_{2}}\) is

1 1
2 2
3 \(3 / 5\)
4 \(5 / 3\)
PHXI13:KINETIC THEORY

360168 Two thermally insulated vessels 1 and 2 are filled with air at temperatures \(\left(T_{1}, T_{2}\right)\) volume \(\left(V_{1}, V_{2}\right)\) and pressure \(\left(P_{1}, P_{2}\right)\) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

1 \({T_1}\,\,and\,\,{T_2}\)
2 \(\left( {{T_1} + {T_2}} \right)/2\)
3 \(\dfrac{T_{1} T_{2} P\left(V_{1}+V_{2}\right)}{P_{1} V_{1} T_{2}+P_{2} V_{2} T_{1}}\)
4 \(\dfrac{T_{1} T_{2}\left(P_{1} V_{1}+P_{2} V_{2}\right)}{P_{1} V_{1} T_{1}+P_{2} V_{2} T_{2}}\)