Points I, II and III in the Maxwell-Boltzmann distribution plot correspond to ($V_{\text{mp}}$: most probable velocity):

(1) $V_{\text{mp}}$ of $\text{N}2$ (300 K); $V{\text{mp}}$ of $\text{O}2$ (400 K); $V{\text{mp}}$ of $\text{H}_2$ (300 K)

(2) $V_{\text{mp}}$ of $\text{O}2$ (400 K); $V{\text{mp}}$ of $\text{N}2$ (300 K); $V{\text{mp}}$ of $\text{H}_2$ (300 K)

(3) $V_{\text{mp}}$ of $\text{N}2$ (300 K); $V{\text{mp}}$ of $\text{H}2$ (300 K); $V{\text{mp}}$ of $\text{O}_2$ (400 K)

(4) $V_{\text{mp}}$ of $\text{H}2$ (300 K); $V{\text{mp}}$ of $\text{N}2$ (300 K); $V{\text{mp}}$ of $\text{O}_2$ (400 K)

Show Answer

$V_{\text{mp}} = \sqrt{\frac{2RT}{M}}$. Order: $V_{\text{mp}}(\text{N}2, 300) < V{\text{mp}}(\text{O}2, 400) < V{\text{mp}}(\text{H}_2, 300)$.