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Q.

A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are (P, 5V) and (10P,  V). If now the piston is left free and the system undergoes an isothermal process, then the volumes of the gas in two parts respectively are

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a

2V, 4V

b

5V, V

c

1011V,2011V

d

3V, 3V

answer is A.

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Detailed Solution

The volume on both sides will  be so adjusted that the original pressure  × volume is kept constant as the piston moves slowly (isothermal change)
P5V=P'V'        ………(1)
 10 PV=P'V''   ………(2)
From (1) and (2), V''=2 V' 
and from  V'+V''=6 V
 V'=2 V,  V''=4 V

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