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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

a
2P
b
P
c
P/2
d
4P

detailed solution

Correct option is A

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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