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Thermodynamics (Physics) · Question 34

AIPMT 2012 (Mains)MCQMedium📈 Topic in 25% papers+4−1
1

An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram. [figure] If Q1, Q2, Q3 indicate the heat absorbed by the gas along the three processes and U1, U2, U3 indicate the change in internal energy along the three processes respectively, then

  1. Q1 > Q2 > Q3 and U1 = U2 = U3
  2. Q3 > Q2 > Q1 and U1 = U2 = U3
  3. Q1 = Q2 = Q3 and U1 > U2 > U3
  4. Q3 = Q2 = Q1 and U1 > U2 > U3

Answer

(1) Q1 > Q2 > Q3 and U1 = U2 = U3

Solution

Internal energy is a state function and all three processes have the same initial state A and final state B

U1 = U2 = U3

Work done by the gas = area under the P–V curve; from the diagram, area under 1 > area under 2 > area under 3

W1 > W2 > W3

First law: Q = U + W with the same U

Q1 > Q2 > Q3

Answer: (1)

AIPMT 2012 (Mains)

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2

One mole of an ideal gas goes from an initial state A to final state B via two processes : It first undergoes isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant pressure. The correct P-V diagram representing the two processes is

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
AIPMT 2012 (Prelims)
3

A thermodynamic system is taken through the cycle ABCD as shown in figure. Heat rejected by the gas during the cycle is [figure]

  1. 2PV
  2. 4PV
  3. 12PV
  4. PV
AIPMT 2012 (Prelims)
4

A mass of diatomic gas ( = 1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27 to 927 . The pressure of the gas in the final state is

  1. 8 atm
  2. 28 atm
  3. 68.7 atm
  4. 256 atm
AIPMT 2011 (Mains)
5

During an isothermal expansion, a confined ideal gas does 150 J of work against its surroundings. This implies that

  1. 150 J of heat has been removed from the gas
  2. 300 J of heat has been added to the gas
  3. no heat is transferred because the process is isothermal
  4. 150 J of heat has been added to the gas
AIPMT 2011 (Prelims)
6

When 1 kg of ice at 0 melts to water at 0 , the resulting change in its entropy, taking latent heat of ice to be 80 cal/g, is

  1. 273 cal/K
  2. 8 104 cal/K
  3. 80 cal/K
  4. 293 cal/K
AIPMT 2011 (Prelims)
7

If cp and cv denote the specific heats (per unit mass) of an ideal gas of molecular weight M, then

  1. cp - cv = RM2
  2. cp - cv = R
  3. cp - cv = RM
  4. cp - cv = MR
AIPMT 2010 (Mains)
8

A monatomic gas at pressure P1 and volume V1 is compressed adiabatically to 18th of its original volume. What is the final pressure of the gas?

  1. 64P1
  2. P1
  3. 16P1
  4. 32P1
AIPMT 2010 (Mains)
9

If and represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?

  1. = - , in an adiabatic process
  2. = , in an isothermal process
  3. = , in an adiabatic process
  4. = - , in an isothermal process
AIPMT 2010 (Prelims)
10

The internal energy change in a system that has absorbed 2 kcal of heat and done 500 J of work is

  1. 6400 J
  2. 5400 J
  3. 7900 J
  4. 8900 J
AIPMT 2009
11

In thermodynamic processes which of the following statements is not true ?

  1. In an isochoric process pressure remains constant.
  2. In an isothermal process the temperature remains constant.
  3. In an adiabatic process PV = constant.
  4. In an adiabatic process the system is insulated from the surroundings.
AIPMT 2009

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