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Question

Question: The temperature at which the root mean square velocity of a molecule will be doubled than at 100°C...

The temperature at which the root mean square velocity of a molecule will be doubled than at 100°C

A

1219°C

B

1492°C

C

400°C

D

400 K

Answer

1219°C

Explanation

Solution

vrmsT;v_{rms} \propto \sqrt{T}; To double the rms velocity temperature should be four times i.e.

T2=4T1=4(273+100)=1492K=1219oCT_{2} = 4T_{1} = 4(273 + 100) = 1492K = 1219^{o}C