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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKTGMedium2 minQB

PhysicsMediumsingle choice

Two gases - argon (atomic radius $0.07 n m,$ atomic weight $40$ ) and xenon (atomic radius $0.1 n m,$ atomic weight $140$ ) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to:

Options:

Answer:

Solution:

Mean free time $= \frac{1}{\sqrt{2} n π d^{2} v_{r m s}}$
$\frac{t_{A r}}{t_{X e}} = \frac{d_{X e}^{2}}{d_{A r}^{2}} \times \sqrt{\frac{m_{1}}{m_{2}}}$
$= {(\frac{0.1}{0.07})}^{2} \times \sqrt{\frac{40}{140}}$
$= {(\frac{10}{7})}^{2} \times \sqrt{\frac{2}{7}} = 1.09$
closest value is $1.83$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:KTG

⏱ 2mℹ️ Source: QB

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