Mean Free Path and Mean Time between Two Successive Collisions
PHXI13:KINETIC THEORY

360314 Read the Statement - A and Statement - B carefully to mark the correct options give below.
Statement A :
The mean free path of gas molecules is inversely proportional to square of molecular diameter.
Statement B :
Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.

1 Statement A is correct but Statement B is incorrect.
2 Statement A incorrect but Statement B is correct
3 Both Statements are correct
4 Both Statements are incorrect.
PHXI13:KINETIC THEORY

360315 An ideal gas is enclosed in a cylinder at pressure of \(2 \,atm\) and temperature, \(300\, K\). The mean time between two successive collisions is \(6 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(500 \,K\), the mean time between two successive collisions will be close to

1 \(4 \times 10^{-8} \mathrm{~s}\)
2 \(3 \times 10^{-6} \mathrm{~s}\)
3 \(0.5 \times 10^{-8} \mathrm{~s}\)
4 \(2 \times 10^{-7} \mathrm{~s}\)
PHXI13:KINETIC THEORY

360316 The volume occupied by the molecules contained in \(4.5{\text{ }}kg\) of water at STP is (intermolecular forces vanish)

1 \(5.6 \times {10^3}\,{m^3}\)
2 \(5.6 \times {10^{ - 3}} \,{m^3}\)
3 \(5.6\,\,{m^3}\)
4 \(5.6 \times {10^6}\,{m^3}\)
PHXI13:KINETIC THEORY

360317 If the collision frequency of hydrogen molecules in a closed chamber at \({27^{\circ} {C}}\) is \({Z}\), then the collision frequency of the same system at \({127^{\circ} {C}}\) is

1 \({\dfrac{4}{3} Z}\)
2 \({\dfrac{\sqrt{3}}{2} Z}\)
3 \({\dfrac{3}{4} Z}\)
4 \({\dfrac{2}{\sqrt{3}} Z}\)
PHXI13:KINETIC THEORY

360314 Read the Statement - A and Statement - B carefully to mark the correct options give below.
Statement A :
The mean free path of gas molecules is inversely proportional to square of molecular diameter.
Statement B :
Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.

1 Statement A is correct but Statement B is incorrect.
2 Statement A incorrect but Statement B is correct
3 Both Statements are correct
4 Both Statements are incorrect.
PHXI13:KINETIC THEORY

360315 An ideal gas is enclosed in a cylinder at pressure of \(2 \,atm\) and temperature, \(300\, K\). The mean time between two successive collisions is \(6 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(500 \,K\), the mean time between two successive collisions will be close to

1 \(4 \times 10^{-8} \mathrm{~s}\)
2 \(3 \times 10^{-6} \mathrm{~s}\)
3 \(0.5 \times 10^{-8} \mathrm{~s}\)
4 \(2 \times 10^{-7} \mathrm{~s}\)
PHXI13:KINETIC THEORY

360316 The volume occupied by the molecules contained in \(4.5{\text{ }}kg\) of water at STP is (intermolecular forces vanish)

1 \(5.6 \times {10^3}\,{m^3}\)
2 \(5.6 \times {10^{ - 3}} \,{m^3}\)
3 \(5.6\,\,{m^3}\)
4 \(5.6 \times {10^6}\,{m^3}\)
PHXI13:KINETIC THEORY

360317 If the collision frequency of hydrogen molecules in a closed chamber at \({27^{\circ} {C}}\) is \({Z}\), then the collision frequency of the same system at \({127^{\circ} {C}}\) is

1 \({\dfrac{4}{3} Z}\)
2 \({\dfrac{\sqrt{3}}{2} Z}\)
3 \({\dfrac{3}{4} Z}\)
4 \({\dfrac{2}{\sqrt{3}} Z}\)
PHXI13:KINETIC THEORY

360314 Read the Statement - A and Statement - B carefully to mark the correct options give below.
Statement A :
The mean free path of gas molecules is inversely proportional to square of molecular diameter.
Statement B :
Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.

1 Statement A is correct but Statement B is incorrect.
2 Statement A incorrect but Statement B is correct
3 Both Statements are correct
4 Both Statements are incorrect.
PHXI13:KINETIC THEORY

360315 An ideal gas is enclosed in a cylinder at pressure of \(2 \,atm\) and temperature, \(300\, K\). The mean time between two successive collisions is \(6 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(500 \,K\), the mean time between two successive collisions will be close to

1 \(4 \times 10^{-8} \mathrm{~s}\)
2 \(3 \times 10^{-6} \mathrm{~s}\)
3 \(0.5 \times 10^{-8} \mathrm{~s}\)
4 \(2 \times 10^{-7} \mathrm{~s}\)
PHXI13:KINETIC THEORY

360316 The volume occupied by the molecules contained in \(4.5{\text{ }}kg\) of water at STP is (intermolecular forces vanish)

1 \(5.6 \times {10^3}\,{m^3}\)
2 \(5.6 \times {10^{ - 3}} \,{m^3}\)
3 \(5.6\,\,{m^3}\)
4 \(5.6 \times {10^6}\,{m^3}\)
PHXI13:KINETIC THEORY

360317 If the collision frequency of hydrogen molecules in a closed chamber at \({27^{\circ} {C}}\) is \({Z}\), then the collision frequency of the same system at \({127^{\circ} {C}}\) is

1 \({\dfrac{4}{3} Z}\)
2 \({\dfrac{\sqrt{3}}{2} Z}\)
3 \({\dfrac{3}{4} Z}\)
4 \({\dfrac{2}{\sqrt{3}} Z}\)
PHXI13:KINETIC THEORY

360314 Read the Statement - A and Statement - B carefully to mark the correct options give below.
Statement A :
The mean free path of gas molecules is inversely proportional to square of molecular diameter.
Statement B :
Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.

1 Statement A is correct but Statement B is incorrect.
2 Statement A incorrect but Statement B is correct
3 Both Statements are correct
4 Both Statements are incorrect.
PHXI13:KINETIC THEORY

360315 An ideal gas is enclosed in a cylinder at pressure of \(2 \,atm\) and temperature, \(300\, K\). The mean time between two successive collisions is \(6 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(500 \,K\), the mean time between two successive collisions will be close to

1 \(4 \times 10^{-8} \mathrm{~s}\)
2 \(3 \times 10^{-6} \mathrm{~s}\)
3 \(0.5 \times 10^{-8} \mathrm{~s}\)
4 \(2 \times 10^{-7} \mathrm{~s}\)
PHXI13:KINETIC THEORY

360316 The volume occupied by the molecules contained in \(4.5{\text{ }}kg\) of water at STP is (intermolecular forces vanish)

1 \(5.6 \times {10^3}\,{m^3}\)
2 \(5.6 \times {10^{ - 3}} \,{m^3}\)
3 \(5.6\,\,{m^3}\)
4 \(5.6 \times {10^6}\,{m^3}\)
PHXI13:KINETIC THEORY

360317 If the collision frequency of hydrogen molecules in a closed chamber at \({27^{\circ} {C}}\) is \({Z}\), then the collision frequency of the same system at \({127^{\circ} {C}}\) is

1 \({\dfrac{4}{3} Z}\)
2 \({\dfrac{\sqrt{3}}{2} Z}\)
3 \({\dfrac{3}{4} Z}\)
4 \({\dfrac{2}{\sqrt{3}} Z}\)