QJEEM19Ph8a8d: JEE Main 2019 Physics - Class 11 JEEM19Ph8a8d Solution: An ideal gas is enclosed in a cylinder at pressure of 2 atm and …

Question

Verified Solution • 2025–26 Session moderate

An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K. The mean time between two successive collisions is 6

\times

10^–8 s. If the pressure is doubled and temperature is increased to 500 K, the mean time between two successive collisions will be close to

Accepted Answer

t

\propto

\frac{V o l u m e}{v e l o c i t y}

volume

\propto

\frac{T}{P}

∴

t

\propto

\frac{\sqrt{T}}{P}

\frac{t_{1}}{6 \times 10^{- 8}} = \frac{\sqrt{500}}{2 P} \times \frac{P}{\sqrt{300}}

t₁ = 3.8

\times

10^{$-$ 8}

\approx

4

\times

10^{$-$ 8}

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