The mean free path of gas molecules depends on $(d =$ molecular diameter$)$

  • A
    $d$
  • B
    $d^2$
  • C
    $d^{-2}$
  • D
    $d^{-1}$

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Similar Questions

There are two identical chambers,completely thermally insulated from surroundings. Both chambers have a partition wall dividing the chambers into two compartments. Compartment $1$ is filled with an ideal gas and Compartment $3$ is filled with a real gas. Compartments $2$ and $4$ are vacuum. $A$ small hole (orifice) is made in the partition walls and the gases are allowed to expand into the vacuum.
Statement $-1$: No change in the temperature of the gas takes place when an ideal gas expands in a vacuum. However,the temperature of a real gas goes down (cooling) when it expands in a vacuum.
Statement $-2$: The internal energy of an ideal gas is only kinetic. The internal energy of a real gas is kinetic as well as potential.

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

An ideal gas in a closed container is slowly heated. As its temperature increases,which of the following statements are true?
$(A)$ The mean free path of the molecules decreases.
$(B)$ The mean collision time between the molecules decreases.
$(C)$ The mean free path remains unchanged.
$(D)$ The mean collision time remains unchanged.

Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at $STP$. Take the diameter of an oxygen molecule to be $3 \mathring A$.

State the differences between an ideal gas and a real gas.

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