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Q.

A vertical cylinder contains ideal gas with the help of two pistons whose combined mass is M. Pistons are connected by an inextensible string. The difference in the area of pistons is A. Atmospheric pressure is P0. Initially the system is in equilibrium as shown in the figure. Now heat is supplied to the system. Mark the correct statement(s). 
 

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a

volume will increase

b

Pressure will remain constant

c

Temperature will increase

d

Internal energy of gas will remain constant.

answer is A, B, C.

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Detailed Solution

If pressure of gas is P, then PA=P0A+Mg . When heat is supplied , The piston assembly moves upward , volume of gas increases and since right hand side of the equation remains constant , P remains constant . Also from equation PV = nRT ,

temperature T also increases .

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A vertical cylinder contains ideal gas with the help of two pistons whose combined mass is M. Pistons are connected by an inextensible string. The difference in the area of pistons is A. Atmospheric pressure is P0. Initially the system is in equilibrium as shown in the figure. Now heat is supplied to the system. Mark the correct statement(s).