Gujarati
12.Kinetic Theory of Gases
normal

The translational kinetic energy of gas molecule for one mole of the gas is equal to

A

$\frac{3}{2}RT$

B

$\frac{2}{3}RT$

C

$\frac{1}{2}RT$

D

$\frac{2}{3}KT$

Solution

The transation kinetic energy pee molecule:

$\frac{K L}{m}=\frac{3}{2} . K_BT$

were, $m =$ no. of molecules , $n=$ moles, $N=$ avagardo's number

also, $n=\frac{m}{N}$

so, $\frac{K F}{n N}=\frac{3}{2} K_ B T$

$\frac{K E}{n}=\frac{3}{2} N K_B T$

as $N K_B=R$ (gas constant)

KE molar $=\frac{3}{2} R T$

Standard 11
Physics

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