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JEE Main 2015 (10 Apr, Shift 1) · Pressure & Kinetic Energy of a Gas

Pressure & Kinetic Energy of a Gas question from JEE Main 2015 (10 Apr, Shift 1)

Q36JEE Main 2015 · 10 APR · SHIFT 1Medium

Pressure & Kinetic Energy of a Gas

In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq. A good estimate for q is:

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Answer: (b)

Force by one molecule $\propto \frac{\Delta p}{\Delta t} = \frac{2mv}{2L/v} = \frac{mv^2}{L}$ .
$mv^2 \propto T$ , so $F \propto T^{1}$ and $q = 1$ .
So the answer is (b) 1.

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