MCQ
Keeping the number of moles, volume and temperature the same, which of the following are the same for all ideal gases?
  • A
    $\text{Rms}$ speed of a molecule.
  • B
    Density.
  • Pressure.
  • D
    Average magnitude of momentum.

Answer

Correct option: C.
Pressure.
Pressure of an ideal gas is given by $\text{PV}=\frac{1}{3}\text{mnu}^2.$
We know that pressure depends on volume, number of molecules and root mean square velocity.
Also, root mean square velocity depends on the temperature of the gas.
Since the number of molecules, volume and temperature are constant, pressure of the gas will not change.

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