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Q.

The average velocity of gas molecules is 425 m/sec. Calculate its most probable velocity ump  at the same temperature.

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answer is 376.55.

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Detailed Solution

Average velocity,u-=425ms− Most probable velocity, ump=?We know: u¯=8RTπM1/2;ump=2RTM1/2Hence, umpu-=2RTM×πM8RT1/2=π41/2∴umpu-=227×41/2=(0.7857)1/2=0.886∴ u=0.886×425ms−=376.55ms−
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The average velocity of gas molecules is 425 m/sec. Calculate its most probable velocity ump  at the same temperature.