Question

relation between average molar kinetic energy of n2 and o2 at same temperature is​

Answer 1

$\huge\fcolorbox{black}{lime}{Answer}$

• So it depends on Temperature only.

• Hence Average molar kinetic energy of co and n2 at same temperature is same

Answer 2

Average Molar kinetic energy of N₂ and O₂ will be equal at same temperature because average molar kinetic energy of gas is directly proportional to temperature. It doesn't depend on nature of gas or mass.

Let , K.E₁ = Average Molar kinetic energy of N₂

K.E₂ = Average Molar kinetic energy of O₂

Therefore , relation between K.E₁ and K.E₂ :-

=> K.E₁ = K.E₂

_____________________

How K.E. is directly proportional to Temperature :-

$\tt K.E = \dfrac{1}{2} \times m \times {v}^{2} _{rms}$

$\tt also \: ,{v}^{2}_{rms} = \dfrac{3RT}{m}$

$\tt \implies K.E = \dfrac{1}{2} \times m \times (\dfrac{3RT}{m} )$

$\tt \implies K.E = \dfrac{1}{2} \times 1 \times (\dfrac{3RT}{1} )$

$\tt \implies K.E = \dfrac{3RT}{2}$

$\tt \implies K.E \propto \dfrac{3RT}{2}$

Where :-

K.E = average kinetic energy

T = temperature