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Q.

Column I shows certain thermodynamic systems and column II represents thermodynamic properties.

Column IColumn II
A
Question Image

An ideal gas is filled in a cylindrical vessel of height h which is enclosed by a mass less thermally insulating piston. Mercury is filled above the piston as shown. Now gas is slowly supplied heat. Mercury does not spill.

PInternal energy of the gas is increasing .
B
Question Image

A cylindrical vessel is enclosed by a light piston. The piston is connected to ceiling by an ideal spring as shown in figure. Spring is initially relaxed and then heat is supplied slowly to the ideal gas in the vessel. The system is kept in open atmosphere.

QPressure of the gas is increasing.
C
Question Image

A thermally insulated cylindrical vessel is enclosed by a light thermally insulated piston. Some sand is kept on top of piston as shown in figure. The system is kept in open atmosphere. Now sand grains are removed slowly one by one.

RTemperature of the gas is decreasing.
D
Question Image

A good conducting cylindrical vessel is enclosed by a light thermally insulated piston. Some sand is kept on top of piston as shown in figure. The system is kept in open atmosphere. Now sand grains are added slowly one by one.

SWork done by gas is positive.
  TMolar heat capacity of the gas
is positive

 

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a

(A) P,S,T, (B) P,Q,S,T (C) R,S (D) Q

b

(A) P,S,T, (B) P,Q (C) R,S (D) Q

c

(A) P,S,T, (B) P (C) R,S (D) Q

d

(A) P (B) P,Q,S,T (C) R,S (D) Q

answer is A.

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Detailed Solution

A : Process is isobaric
B : Process is given by PV1 = constant  TV2 = constant.
C : Process is adiabatic
D : Process is isothermal

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