Q. To what temperature should the hydrogen at room temperature $(27℃)$ be heated at constant pressure so that the R.M.S. velocity of its molecules becomes double of its previous value
A) $1200℃$
B) $927℃$
C) $600℃$
D) $108℃$
Explanation
(b) $v_{rms} \propto \sqrt{T} \Rightarrow \frac{\left( v_{rms} \right)_{2}}{\left( v_{rms} \right)_{1}} = \sqrt{\frac{T_{2}}{T_{1}}}$
$\Rightarrow 2 = \sqrt{\frac{T_{2}}{300}} \Rightarrow T_{2} = 1200K = 927℃$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.