Question 619: Thermodynamics & KTG

Question

Nitrogen gas is at 300oC temperature. The
temperature (in K) at which the rms speed of a
H2 molecule would be equal to the rms speed
of a nitrogen molecule, is _______.
(Molar mass of N2 gas 28 g).

Accepted Answer

V
rms
= $$\sqrt {{{3RT} \over M}} $$
V
N
2
= $$\sqrt {{{3R(573)} \over 28}} $$
V
H
2
= $$\sqrt {{{3RT} \over 2}} $$
Given, V
N
2
= V
H
2
$$\sqrt {{{3RT} \over 2}} $$ = $$\sqrt {{{3R(573)} \over 28}} $$
$$ \Rightarrow $$ $${T \over 2} = {{573} \over {28}}$$
$$ \Rightarrow $$ T = 41 K

Thermodynamics & KTG

Nitrogen gas is at 300oC temperature. The temperature (in K) at which the rms speed of a H2 molecule would be equal to the rms speed of a nitrogen molecule, is _______. (Molar mass of N2 gas 28 g).

Choose the correct answer: