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Question: To what temperature should the hydrogen at room temperature (27°C) be heated at constant pressure so...

To what temperature should the hydrogen at room temperature (27°C) be heated at constant pressure so that the R.M.S. velocity of its molecules becomes double of its previous value

A

1200C

B

927C

C

600C

D

108C

Answer

927C

Explanation

Solution

vrmsTv_{rms} \propto \sqrt{T}Ž(vrms)2(vrms)1=T2T1\frac{(v_{rms})_{2}}{(v_{rms})_{1}} = \sqrt{\frac{T_{2}}{T_{1}}}

Ž 2=T23002 = \sqrt{\frac{T_{2}}{300}}Ž T2=1200K=927CT_{2} = 1200K = 927{^\circ}C