First slide

Rms speed

Question

A sample of ideal gas is heated from 27 ⁰C to 327 ⁰C, initial average kinetic energy of the molecules was E. What will be the average kinetic energy after heating ?

Easy

A

2E
B

327E
C

$\large \sqrt 2 E$
D

300E

Solution

$E\, \propto \,T\, \Rightarrow \,\frac{{{E_1}}}{{{E_2}}}\, = \,\frac{{{T_1}}}{{{T_2}}}\, \Rightarrow \,\frac{E}{{{E_2}}}\, = \,\frac{{300}}{{600}}\, \Rightarrow \,{E_2}\, = \,2E$

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