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  • By how many folds the temperature of a gas would increase when the root mean square velocity of the gas molecules in a container of fixed volume is increased from <img alt="5\times 10^{4}\: cm

By how many folds the temperature of a gas would increase when the root mean square velocity of the gas molecules in a container of fixed volume is increased from 5\times 10^{4}\: cm/s\: \: \: to\: \: 10\times 10^{4}cm/s  ? 

Option: 1

Two


Option: 2

Three


Option: 3

Six


Option: 4

Four


Answers (1)

best_answer

\\ u \propto \sqrt{T}\textup{ for a particular gas} \\\\ \therefore \frac{u_{1}}{u_{2}}=\sqrt{\frac{T_{1}}{T_{2}}}\textup{ or }\left(\frac{5 \times 10^{4}}{10 \times 10^{4}}\right)^{2}=\frac{T_{1}}{T_{2}}

\\\frac{T_1}{T_2}=\frac{1}{4} \\\\T_2 = 4T_1

 

Posted by

Divya Prakash Singh

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