First slide

Rms speed

Question

The temperature of an ideal gas is increased from 27 ⁰C to 927 ⁰C. The rms speed of its molecules will become

Easy

A

Twice
B

Half
C

Four times
D

One fourth

Solution

$\large \frac{{{V_1}}}{{{V_2}}}\, = \,\sqrt {\frac{{{T_1}}}{{{T_2}}}} \, = \,\sqrt {\frac{{300}}{{1200}}} \, \Rightarrow \,{V_2}\, = \,2{V_1}$

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