Q.

In a vessel, the gas is at pressure P. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be

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a

2P

b

P

c

P/2

d

4P

answer is A.

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Detailed Solution

As P=13mNVvrms2                  .....(i)where m is the mass of each molecule, N is the total number of molecules, V is the volume of the gas. When mass of all the molecules is halved and their speed is doubled, then the pressure will beP'=13m2×NV×2vrms2 =23mNVvrms2=2P                        .....(using(i))
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