Under which of the following conditions is the law $PV = RT$ obeyed most closely by a real gas?

  • A
    High pressure and high temperature
  • B
    Low pressure and low temperature
  • C
    Low pressure and high temperature
  • D
    High pressure and low temperature

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What is free path? And what is mean free path?

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

Calculate the value of mean free path $(\lambda)$ for oxygen molecules at temperature $27^{\circ} C$ and pressure $1.01 \times 10^{5} Pa$. Assume the molecular diameter $d = 0.3 nm$ and the gas is ideal. Given Boltzmann constant $k = 1.38 \times 10^{-23} J K^{-1}$. (Result in $nm$)

For a molecule of an ideal gas,the number density is $2 \sqrt{2} \times 10^8 \text{ cm}^{-3}$ and the mean free path is $\frac{10^{-2}}{\pi} \text{ cm}$. The diameter of the gas molecule is

Statement-$1$: Real gas approaches ideal gas behaviour for low pressures and high temperatures.
Statement-$2$: At low pressure,the density of a gas is very low.

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