First slide

Kinetic energy

Question

Molar mass of a gas is 4 grams. At certain temperature, kinetic energy per mole of the gas is $0.2 \times 10^{11} ergs .$ At the same temperature, RMS velocity of the gas would be

Moderate

A

$10^{6} cm / s$
B

$10^{5} cm / s$
C

$10^{3} cm / s$
D

$10^{4} cm / s$

Solution

K.E/mole = $\frac{3}{2} RT$
$2 \times$ K.E/mole = $3 RT$
RMS velocity, C = $\sqrt{\frac{3 RT}{M}}$
RMS velocity, C= $\sqrt{\frac{2 \times K . E / mole}{M}}$
RMS velocity, C = $\sqrt{\frac{2 \times 2 \times 10^{10}}{4}}$
RMS velocity, C = $10^{5} cm / s$

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