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Q.

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., 3n2

Now PV = nRT and P'V2=3n2R.2T

∴P'2P=3⇒P'=6P

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