gaseous state

teh rms velocity of hydrogen is âˆš7 times the rms velocity of nitrogen. If T is the temperature of the gas,

T(H2) = T(N2)

T(H2) < T(N2)

i am getting that both are equal....but the answer given is the second option

p.s. this is an iit 2000 queston

1 Answers

V_{rms} = \sqrt{\frac{3RT}{M}}

It is given that
\sqrt{\frac{3RT_{1}}{2}}=\sqrt{7} \sqrt{\frac{3RT_{2}}{28}} \Rightarrow \frac{T_{1}}{2} = \frac{T_{2}}{4}

So T₁ < T₂

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