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Important questions on Ideal Gas Equation And Absolute Temperature

HARD

That gas cannot be liquified 

A

Which obeys Vander Waal's equation

B

Which obeys gas equation at every temperature and pressure

C

The molecules of which are having potential energy

D

Which is a inert gas

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HARD

An ideal gas undergoes the cyclic process shown in a graph below

This question has multiple correct options
A

B

C

D

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HARD

Two closed containers of equal volume filled with air at pressure  and temperature . Both are connected by  narrow tube. If one of the container is maintained at temperature  and another at temperature T, then new pressure in the containers will be 

A

B

C

D

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HARD

A closed container of volume 0.02 m contains a mixture of neon and argon gases at a temperature of 27 C and at a pressure of . The total mass of the mixture is 28 g. If the gram molecular weights of neon and argon are 20 and 40 respectively, the masses of the individual gases in the container are respectively(assuming them to be ideal) [R = 8.314 J/mol K]

A

16 gm, 12 gm

B

4 gm, 24 gm

C

6 gm, 22 gm

D

12 gm, 16 gm

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HARD

An ideal gas is taken from the state A(pressure , volume ) to the state B (pressure , volume ) along a straight line path in the P-V diagram. Select the correct statement(s) from the following.

This question has multiple correct options
A

The work done by the gas in the process A to B exceeds the work that would be done by it if the system were taken from A to B along the isotherm

B

In the T-V diagram, the path AB becomes a part of the parabola

C

In the P-T diagram, the path AB becomes a part of hyperbola

D

In going from A to B, the temperature T of the gas first increases to maximum value and then decreases

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HARD

An ideal gas with pressure , volume and temperature is expanded isothermally to a volume and a final pressure . The same gas is expanded adiabatically to a volume , the final pressure is . In terms of the ratio of the two specific heats for the gas , the ratio is:

A

B

C

D

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HARD

One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is . Choose the correct option(s) from the following.

This question has multiple correct options
A

Internal energies at A and B are the same

B

Work done by the gas in process AB is ln

C

Pressure at C is

D

Temperature at C is

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HARD

A 90 cm long barometer tube contains some air above the mercury. The reading is 74.5 cm when the true pressure is 76 cm at the temperature . If the reading is observed to be 75.8 cm on a day when the temperature is , then the true pressure is:

A

77.38 cm of Hg

B

75.8 cm of Hg

C

74 cm of Hg

D

80 cm of Hg

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HARD

Two identical containers each of volume V are joined by a small pipe. The containers contain identical gases at temperature T and pressure P. One container is heated to temperature 2T while maintaining the other at the same temperature. The common pressure of the gas is P and n is the number of moles of gas in container at temperature 2T.

A

B

C

D

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HARD

The percentage change in the pressure of a given mass of a gas filled in a container at constant temperature is %. Calculate the percentage change in its volume.

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