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Thermodynamics (Physics) · Question 21

AIPMT 2015MCQMedium📈 Topic in 38% papers+4−1
1

An ideal gas is compressed to half its initial volume by means of several processes. Which of the process results in the maximum work done on the gas ?

  1. Isochoric
  2. Isothermal
  3. Adiabatic
  4. Isobaric

Answer

(3) Adiabatic

Solution

Work done on the gas = area under the P–V curve from V0 to V02.

Isochoric: volume cannot change, so this process cannot compress the gas.

Isobaric: P stays constant, W = P0V02 = 0.5 P0V0

Isothermal: W = P0V0 2 0.69 P0V0

Adiabatic: PV = constant, P rises fastest (steepest curve)

W = P0V0(2 - 1 - 1) - 1 0.80 P0V0 (for = 1.4)

Maximum work is done on the gas in adiabatic compression.

Answer: (3)

AIPMT 2015

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2

The coefficient of performance of a refrigerator is 5. If the temperature inside freezer is -20 C, the temperature of the surroundings to which it rejects heat is

  1. 11 C
  2. 21 C
  3. 31 C
  4. 41 C
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3

A Carnot engine, having an efficiency of = 110 as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is

  1. 90 J
  2. 1 J
  3. 100 J
  4. 99 J
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4

One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure. [figure] The change in internal energy of the gas during the transition is

  1. 20 J
  2. -12 kJ
  3. 20 kJ
  4. -20 kJ
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5

Figure below shows two paths that may be taken by a gas to go from a state A to a state C. [figure] In process AB, 400 J of heat is added to the system and in process BC, 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be

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  2. 300 J
  3. 380 J
  4. 500 J
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6

A monatomic gas at a pressure P, having a volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is (Take = 5/3)

  1. 64P
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  3. P/64
  4. 16P
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7

A thermodynamic system undergoes cyclic process ABCDA as shown in figure. The work done by the system in the cycle is [figure]

  1. P0V0
  2. 2P0V0
  3. P0V02
  4. zero
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8

The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv, respectively. If = CpCv and R is the universal gas constant, then Cv is equal to

  1. ( - 1)R
  2. R
  3. 1 + 1 -
  4. R( - 1)
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9

A gas is taken through the cycle A B C A, as shown. What is the net work done by the gas? [figure]

  1. Zero
  2. - 2000 J
  3. 2000 J
  4. 1000 J
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10

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  1. 53
  2. 32
  3. 43
  4. 2
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11

A system is taken from state a to state c by two paths adc and abc as shown in the figure. The internal energy at a is Ua = 10 J. Along the path adc the amount of heat absorbed dQ1 = 50 J and the work obtained dW1 = 20 J whereas along the path abc the heat absorbed dQ2 = 36 J. The amount of work along the path abc is [figure]

  1. 10 J
  2. 12 J
  3. 36 J
  4. 6 J
NEET 2013 (Karnataka)

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