Gaseous Mixture and Two Connected Chambers
PHXI13:KINETIC THEORY

360169 Two perfect gases at absolute temperatures \(T_{1}\) and \(T_{2}\) are mixed. There is no loss of energy. The temperature of mixture if masses of molecules are \(m_{1}\) and \(m_{2}\) and the number of molecules in the gases are \(n_{1}\) and \(n_{2}\) respectively, is

1 \(\dfrac{T_{1}+T_{2}}{2}\)
2 \(\dfrac{n_{1} T_{1}+n_{2} T_{2}}{n_{1}+n_{2}}\)
3 \(\dfrac{n_{1} T_{2}+n_{2} T_{1}}{n_{1}+n_{2}}\)
4 \(\sqrt{T_{1} T_{2} / n_{1} n_{2}}\)
PHXI13:KINETIC THEORY

360170 Two glass spheres of equal volume are connected by a small tube containing a small amount of mercury as shown in figure. The spheres are sealed at \(20^\circ C\) with exactly 1 litre of air in each side. If the cross sectional area of tube is \(5\,m{m^2}\) how far will the mercury be displaced if the temperature of one sphere is raised by \(0^\circ C\) while the other is maintained at \(20^\circ C\)
supporting img

1 \(2.4 \,\,cm\)
2 \(5.4 \,\,cm\)
3 \(3.4 \,\,cm\)
4 \(1.4 \,\,cm\)
PHXI13:KINETIC THEORY

360171 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are \((P,5{\mkern 1mu} {\mkern 1mu} V)\) and \((10{\rm{ }}P,{\rm{ }}V)\). If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 \(3{\rm{ }}V,{\rm{ }}3{\rm{ }}V\)
2 \(2 V,4 V\)
3 \(5 V, V\)
4 \(4 V,2 V\)
PHXI13:KINETIC THEORY

360172 One mole of helium and two moles of hydrogen are mixed at temperature \(T\). The total internal energy of the mixture is

1 \(\dfrac{5}{2} R T\)
2 \(\dfrac{13 R T}{2}\)
3 \(\dfrac{10}{2} R T\)
4 \(\dfrac{3}{2} R T\)
PHXI13:KINETIC THEORY

360169 Two perfect gases at absolute temperatures \(T_{1}\) and \(T_{2}\) are mixed. There is no loss of energy. The temperature of mixture if masses of molecules are \(m_{1}\) and \(m_{2}\) and the number of molecules in the gases are \(n_{1}\) and \(n_{2}\) respectively, is

1 \(\dfrac{T_{1}+T_{2}}{2}\)
2 \(\dfrac{n_{1} T_{1}+n_{2} T_{2}}{n_{1}+n_{2}}\)
3 \(\dfrac{n_{1} T_{2}+n_{2} T_{1}}{n_{1}+n_{2}}\)
4 \(\sqrt{T_{1} T_{2} / n_{1} n_{2}}\)
PHXI13:KINETIC THEORY

360170 Two glass spheres of equal volume are connected by a small tube containing a small amount of mercury as shown in figure. The spheres are sealed at \(20^\circ C\) with exactly 1 litre of air in each side. If the cross sectional area of tube is \(5\,m{m^2}\) how far will the mercury be displaced if the temperature of one sphere is raised by \(0^\circ C\) while the other is maintained at \(20^\circ C\)
supporting img

1 \(2.4 \,\,cm\)
2 \(5.4 \,\,cm\)
3 \(3.4 \,\,cm\)
4 \(1.4 \,\,cm\)
PHXI13:KINETIC THEORY

360171 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are \((P,5{\mkern 1mu} {\mkern 1mu} V)\) and \((10{\rm{ }}P,{\rm{ }}V)\). If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 \(3{\rm{ }}V,{\rm{ }}3{\rm{ }}V\)
2 \(2 V,4 V\)
3 \(5 V, V\)
4 \(4 V,2 V\)
PHXI13:KINETIC THEORY

360172 One mole of helium and two moles of hydrogen are mixed at temperature \(T\). The total internal energy of the mixture is

1 \(\dfrac{5}{2} R T\)
2 \(\dfrac{13 R T}{2}\)
3 \(\dfrac{10}{2} R T\)
4 \(\dfrac{3}{2} R T\)
PHXI13:KINETIC THEORY

360169 Two perfect gases at absolute temperatures \(T_{1}\) and \(T_{2}\) are mixed. There is no loss of energy. The temperature of mixture if masses of molecules are \(m_{1}\) and \(m_{2}\) and the number of molecules in the gases are \(n_{1}\) and \(n_{2}\) respectively, is

1 \(\dfrac{T_{1}+T_{2}}{2}\)
2 \(\dfrac{n_{1} T_{1}+n_{2} T_{2}}{n_{1}+n_{2}}\)
3 \(\dfrac{n_{1} T_{2}+n_{2} T_{1}}{n_{1}+n_{2}}\)
4 \(\sqrt{T_{1} T_{2} / n_{1} n_{2}}\)
PHXI13:KINETIC THEORY

360170 Two glass spheres of equal volume are connected by a small tube containing a small amount of mercury as shown in figure. The spheres are sealed at \(20^\circ C\) with exactly 1 litre of air in each side. If the cross sectional area of tube is \(5\,m{m^2}\) how far will the mercury be displaced if the temperature of one sphere is raised by \(0^\circ C\) while the other is maintained at \(20^\circ C\)
supporting img

1 \(2.4 \,\,cm\)
2 \(5.4 \,\,cm\)
3 \(3.4 \,\,cm\)
4 \(1.4 \,\,cm\)
PHXI13:KINETIC THEORY

360171 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are \((P,5{\mkern 1mu} {\mkern 1mu} V)\) and \((10{\rm{ }}P,{\rm{ }}V)\). If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 \(3{\rm{ }}V,{\rm{ }}3{\rm{ }}V\)
2 \(2 V,4 V\)
3 \(5 V, V\)
4 \(4 V,2 V\)
PHXI13:KINETIC THEORY

360172 One mole of helium and two moles of hydrogen are mixed at temperature \(T\). The total internal energy of the mixture is

1 \(\dfrac{5}{2} R T\)
2 \(\dfrac{13 R T}{2}\)
3 \(\dfrac{10}{2} R T\)
4 \(\dfrac{3}{2} R T\)
PHXI13:KINETIC THEORY

360169 Two perfect gases at absolute temperatures \(T_{1}\) and \(T_{2}\) are mixed. There is no loss of energy. The temperature of mixture if masses of molecules are \(m_{1}\) and \(m_{2}\) and the number of molecules in the gases are \(n_{1}\) and \(n_{2}\) respectively, is

1 \(\dfrac{T_{1}+T_{2}}{2}\)
2 \(\dfrac{n_{1} T_{1}+n_{2} T_{2}}{n_{1}+n_{2}}\)
3 \(\dfrac{n_{1} T_{2}+n_{2} T_{1}}{n_{1}+n_{2}}\)
4 \(\sqrt{T_{1} T_{2} / n_{1} n_{2}}\)
PHXI13:KINETIC THEORY

360170 Two glass spheres of equal volume are connected by a small tube containing a small amount of mercury as shown in figure. The spheres are sealed at \(20^\circ C\) with exactly 1 litre of air in each side. If the cross sectional area of tube is \(5\,m{m^2}\) how far will the mercury be displaced if the temperature of one sphere is raised by \(0^\circ C\) while the other is maintained at \(20^\circ C\)
supporting img

1 \(2.4 \,\,cm\)
2 \(5.4 \,\,cm\)
3 \(3.4 \,\,cm\)
4 \(1.4 \,\,cm\)
PHXI13:KINETIC THEORY

360171 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are \((P,5{\mkern 1mu} {\mkern 1mu} V)\) and \((10{\rm{ }}P,{\rm{ }}V)\). If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 \(3{\rm{ }}V,{\rm{ }}3{\rm{ }}V\)
2 \(2 V,4 V\)
3 \(5 V, V\)
4 \(4 V,2 V\)
PHXI13:KINETIC THEORY

360172 One mole of helium and two moles of hydrogen are mixed at temperature \(T\). The total internal energy of the mixture is

1 \(\dfrac{5}{2} R T\)
2 \(\dfrac{13 R T}{2}\)
3 \(\dfrac{10}{2} R T\)
4 \(\dfrac{3}{2} R T\)