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  • If the absolute temperature of a perfect gas rises to four times its initial value, then the changes of molecular rms speed is-Option: 1 2<img alt="c

If the absolute temperature of a perfect gas rises to four times its initial value, then the changes of molecular rms speed is-

Option: 1

2c_1


Option: 2

c_1


Option: 3

\frac{1}{2}c_1


Option: 4

4c_1


Answers (1)

best_answer

Molecular rms speed,

\begin{aligned} & \qquad \begin{aligned} & c \propto \sqrt{T} \\ & T_2=4 T_1 \\ & \text { so, } \frac{c_1}{c_2}=\sqrt{\frac{T_1}{T_2}} \\ & \text { or, } c_2=c_1 \sqrt{\frac{T_2}{T_1}} \\ &=c_1 \sqrt{\frac{4 T_1}{T_1}}=2 c_1 \end{aligned} \end{aligned}

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