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Q.

With the increase in temperature of a gas, the fraction of molecules having velocities within a given range around the most probable velocity, would:

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a

decrease

b

increase

c

initially increase and then decrease

d

remain unchanged

answer is B.

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Detailed Solution

With the increase in temperature of a gas, the fraction of molecules having velocities within a given range around the most probable velocity, would decrease.

The Maxwell Boltzmann Distribution curve shows that the percentage of molecules,

1NdNdu=4πM2πRT32u2expmu22RT

Fraction of molecule mT

This means that when the gas's temperature rises, fewer molecules will have velocities.

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With the increase in temperature of a gas, the fraction of molecules having velocities within a given range around the most probable velocity, would: