A cylinder fitted with a movable piston has a volume v and the cylinder contains m mass of an ideal gas at pressure p and temperature T. Now an additional m/2 mass of the same gas is introduced into the cylinder and the gas is compressed to a volume v/2 and temperature 2T. Then final pressure of the gas is
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a
3p
b
2p
c
6p
d
4p
answer is C.
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Detailed Solution
If initial number of moles n, final number of moles will be n+n2 i.e., 3n2Now PV = nRT and P'V2=3n2R.2T∴P'2P=3⇒P'=6P