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

360310 The mean free path of collision of gas molecules varies with its diameter \((d)\) of the molecules as

1 \(d^{-1}\)
2 \(d^{-2}\)
3 \(d^{-3}\)
4 \(d^{-4}\)
PHXI13:KINETIC THEORY

360311 Assertion :
Mean free path of a gas molecule varies inversely as density of the gas.
Reason :
Mean free path varies inversely as temperature of the gas.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI13:KINETIC THEORY

360312 The mean free path for a gas, with molecular diameter \(d\) and number density \(n\) can be expressed as:

1 \(\dfrac{1}{\sqrt{2} n \pi d^{2}}\)
2 \(\dfrac{1}{\sqrt{2} n^{2} \pi d^{2}}\)
3 \(\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}\)
4 \(\dfrac{1}{\sqrt{2} n \pi d}\)
PHXI13:KINETIC THEORY

360313 Modern vaccum pumps can evacuate a vessel down to a pressure of \(4.0 \times {10^{ - 15}} atm\). At room temperature (300 K). Taking \(R = 8.0\,J{\rm{ }}{K^{ - 1}} mol{e^{ - 1}}\), \(1 atm = {10^5} Pa\) and \({N_{Avogadro{\rm{ }}}} = 6 \times {10^{23}} mol{e^{ - 1}}\), the mean distance between molecules of gas in an evacuated vessel will be of the order of:

1 \(0.2\,\,\mu m\)
2 \(0.2 \,\,mm\)
3 \(0.2\,\,cm\)
4 \(0.2 \,\,nm\)
PHXI13:KINETIC THEORY

360310 The mean free path of collision of gas molecules varies with its diameter \((d)\) of the molecules as

1 \(d^{-1}\)
2 \(d^{-2}\)
3 \(d^{-3}\)
4 \(d^{-4}\)
PHXI13:KINETIC THEORY

360311 Assertion :
Mean free path of a gas molecule varies inversely as density of the gas.
Reason :
Mean free path varies inversely as temperature of the gas.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI13:KINETIC THEORY

360312 The mean free path for a gas, with molecular diameter \(d\) and number density \(n\) can be expressed as:

1 \(\dfrac{1}{\sqrt{2} n \pi d^{2}}\)
2 \(\dfrac{1}{\sqrt{2} n^{2} \pi d^{2}}\)
3 \(\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}\)
4 \(\dfrac{1}{\sqrt{2} n \pi d}\)
PHXI13:KINETIC THEORY

360313 Modern vaccum pumps can evacuate a vessel down to a pressure of \(4.0 \times {10^{ - 15}} atm\). At room temperature (300 K). Taking \(R = 8.0\,J{\rm{ }}{K^{ - 1}} mol{e^{ - 1}}\), \(1 atm = {10^5} Pa\) and \({N_{Avogadro{\rm{ }}}} = 6 \times {10^{23}} mol{e^{ - 1}}\), the mean distance between molecules of gas in an evacuated vessel will be of the order of:

1 \(0.2\,\,\mu m\)
2 \(0.2 \,\,mm\)
3 \(0.2\,\,cm\)
4 \(0.2 \,\,nm\)
PHXI13:KINETIC THEORY

360310 The mean free path of collision of gas molecules varies with its diameter \((d)\) of the molecules as

1 \(d^{-1}\)
2 \(d^{-2}\)
3 \(d^{-3}\)
4 \(d^{-4}\)
PHXI13:KINETIC THEORY

360311 Assertion :
Mean free path of a gas molecule varies inversely as density of the gas.
Reason :
Mean free path varies inversely as temperature of the gas.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI13:KINETIC THEORY

360312 The mean free path for a gas, with molecular diameter \(d\) and number density \(n\) can be expressed as:

1 \(\dfrac{1}{\sqrt{2} n \pi d^{2}}\)
2 \(\dfrac{1}{\sqrt{2} n^{2} \pi d^{2}}\)
3 \(\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}\)
4 \(\dfrac{1}{\sqrt{2} n \pi d}\)
PHXI13:KINETIC THEORY

360313 Modern vaccum pumps can evacuate a vessel down to a pressure of \(4.0 \times {10^{ - 15}} atm\). At room temperature (300 K). Taking \(R = 8.0\,J{\rm{ }}{K^{ - 1}} mol{e^{ - 1}}\), \(1 atm = {10^5} Pa\) and \({N_{Avogadro{\rm{ }}}} = 6 \times {10^{23}} mol{e^{ - 1}}\), the mean distance between molecules of gas in an evacuated vessel will be of the order of:

1 \(0.2\,\,\mu m\)
2 \(0.2 \,\,mm\)
3 \(0.2\,\,cm\)
4 \(0.2 \,\,nm\)
PHXI13:KINETIC THEORY

360310 The mean free path of collision of gas molecules varies with its diameter \((d)\) of the molecules as

1 \(d^{-1}\)
2 \(d^{-2}\)
3 \(d^{-3}\)
4 \(d^{-4}\)
PHXI13:KINETIC THEORY

360311 Assertion :
Mean free path of a gas molecule varies inversely as density of the gas.
Reason :
Mean free path varies inversely as temperature of the gas.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI13:KINETIC THEORY

360312 The mean free path for a gas, with molecular diameter \(d\) and number density \(n\) can be expressed as:

1 \(\dfrac{1}{\sqrt{2} n \pi d^{2}}\)
2 \(\dfrac{1}{\sqrt{2} n^{2} \pi d^{2}}\)
3 \(\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}\)
4 \(\dfrac{1}{\sqrt{2} n \pi d}\)
PHXI13:KINETIC THEORY

360313 Modern vaccum pumps can evacuate a vessel down to a pressure of \(4.0 \times {10^{ - 15}} atm\). At room temperature (300 K). Taking \(R = 8.0\,J{\rm{ }}{K^{ - 1}} mol{e^{ - 1}}\), \(1 atm = {10^5} Pa\) and \({N_{Avogadro{\rm{ }}}} = 6 \times {10^{23}} mol{e^{ - 1}}\), the mean distance between molecules of gas in an evacuated vessel will be of the order of:

1 \(0.2\,\,\mu m\)
2 \(0.2 \,\,mm\)
3 \(0.2\,\,cm\)
4 \(0.2 \,\,nm\)