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Q.

In a certain sample of gas at 25° C the number of molecules having speeds between 4 km sec1 and 4.1 km sec1 is N. If the total number of gas molecules at the same temperature are doubled what will happen?

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a

Value of most probable velocity will change.

b

Area under the Maxwell's curve for distribution of speeds will increase by four times.

c

No. of molecules between 4 km sec1 and 4.1 km sec1 will become 2N.

d

No. of molecules between 4 km sec1 and 4.1 km sec1 will remain same.

answer is C.

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Detailed Solution

Area under the curve is unity

 Area of curve =u=0dNN

dNN= fraction of molecule

If N is increasesdNN decreases, hence

Most probable speed Umpϕ=2RTM

It does not defend on no. of molecules.

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