First slide

Maxwell speed distribution law

Question

Three closed vessels A, B and C are at the same temperature T and contain gases which obey Maxwellian distribution of velocities. Vessel A contain O₂, B only N₂ and C mixture of equal quantities of O₂ and N₂. If the average speed of the O₂ molecules in the vessel A is V₁, that of N₂ molecules in the vessel B is V₂, the average speed of the O₂ molecules in vessel C is

Easy

A

$\large \frac{{\left( {{v_1} + {v_2}} \right)}}{2}$
B

v₁
C

$\sqrt {4{v_2}}$
D

$\sqrt {\frac{{3kT}}{m}}$

Solution

Average speed depends only on temperature and molecular weight.
${V_{avg}}\, = \sqrt {\frac{{8kT}}{{\pi m}}}$

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