A graph of pressure versus volume for an ideal gas for different

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31.

An ideal monoatomic gas is taken around the cycle ABCDA as shown in the PV diagram. The work done during the cycle is given by

            

  • 12 PV

  • PV

  • 2 PV

  • 4 PV


32.

310 J of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 25°C to 35°C. The amount of heat required to raise the temperature of the gas through the same range at constant volume is

  • 384 J

  • 144 J

  • 276 J

  • 452 J


33.

An ideal gas is taken via path ABCA as shown in figure. The net work done in the whole cycle is

         

  • 3p1V1

  • − 3p1V1

  • 6p1V1

  • Zero


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34.

A graph of pressure versus volume for an ideal gas for different processes is as shown. In the graph curve OC represents

           

  • isochoric process

  • isothermal process

  • isobaric process

  • adiabatic process


D.

adiabatic process

      

  1. Curve OA represents isobaric process (since pressure is constant). Since, the slope of adiabatic process is more steeper than the isothermal process.
  2. Curve OB represents isothermal process.
  3. Curve OC represents adiabatic process.
  4. Curve OD represents isochoric process (since volume is constant).


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35.

The temperature of a gas contained in a closed vessel of constant volume increases by 1°C when the pressure of the gas is increased by 1%. The initial temperature of the gas is

  • 100 K

  • 273°C

  • 100°C

  • 200 K


36.

The mean energy of a molecule of an ideal gas is

  • 12 KT

  • 2 KT

  • KT

  • 32 KT


37.

The molecules of a given mass of a gas have r.m.s. velocity of 200 m/s at 27o C and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are respectively, 127o C and 0.05 x 105  Nm-2, the RMS velocity of its molecules in m/s is,

  • fraction numerator 400 over denominator square root of 3 end fraction
  • fraction numerator 100 square root of 2 over denominator 3 end fraction
  • 100 over 3
  • 100 over 3
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38.

The mean free path of molecules of a gas, (radius r) is inversely proportional to,

  • r3

  • r2

  • r

  • r

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39.

In the given (V-T )diagram, what is the relation between pressures p1 and p2?

  • p2 =p1

  • p2>p1

  • p2<p1

  • p2<p1

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40.

Two vessels separately contain two ideal gases A and B the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is

  • 2/3

  • 3/4

  • 2

  • 2

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