First slide

Kinetic theory of ideal gases

Question

The most probable speed of molecules in a gas at a temperature is given by (P is the pressure exerted by the gas and r is its density)

Easy

A

$\sqrt{\frac{3 P}{ρ}}$
B

$\sqrt{\frac{2 P}{ρ}}$
C

$\sqrt{\frac{8}{π} \frac{P}{ρ}}$
D

$\sqrt{\frac{γ P}{ρ}}$

Solution

$V_{M P} = \sqrt{\frac{2 R T}{M}} = \sqrt{\frac{2 P V}{m a s s o f g a s}} = \sqrt{\frac{2 P}{ρ}}$

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