JEE Main & Advanced Physics Thermodynamical Processes Question Bank

done Isothermal Process Total Questions - 31

• question_answer1)
  For an ideal gas, in an isothermal process             [BHU 1998]
  A)
             Heat content remains constant done clear
  B)
             Heat content and temperature remain constant done clear
  C)
             Temperature remains constant done clear
  D)
             None of the above done clear
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• question_answer2)
  Can two isothermal curves cut each other
  A)
             Never done clear
  B)
             Yes done clear
  C)
             They will cut when temperature is 0°C done clear
  D)
             Yes, when the pressure is critical pressure done clear
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• question_answer3)
  In an isothermal expansion                    [KCET 2000; AFMC 2001]
  A)
             Internal energy of the gas increases done clear
  B)
             Internal energy of the gas decreases done clear
  C)
             Internal energy remains unchanged done clear
  D)
             Average kinetic energy of gas molecule decreases done clear
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• question_answer4)
  In an isothermal reversible expansion, if the volume of 96 gm of oxygen at 27°C is increased from 70 litres to 140 litres, then the work done by the gas will be
  A)
             \[300\,R{{\log }_{10}}2\]  done clear
  B)
             \[81\,R{{\log }_{e}}2\] done clear
  C)
             \[900\,R{{\log }_{10}}2\]  done clear
  D)
             \[2.3\times 900\,R{{\log }_{10}}2\] done clear
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• question_answer5)
   A vessel containing 5 litres of a gas at 0.8 m pressure is connected to an evacuated vessel of volume 3 litres. The resultant pressure inside will be (assuming whole system to be isolated)              [MP PMT 1993]
  A)
             4/3 m                                       done clear
  B)
             0.5 m done clear
  C)
             2.0 m                                        done clear
  D)
             3/4 m done clear
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• question_answer6)
  For an isothermal expansion of a perfect gas, the value of \[\frac{\Delta P}{P}\] is equal                                [CPMT 1980]
  A)
             \[-{{\gamma }^{1/2}}\frac{\Delta V}{V}\]                    done clear
  B)
             \[-\frac{\Delta V}{V}\] done clear
  C)
             \[-\gamma \frac{\Delta V}{V}\]                                        done clear
  D)
             \[-{{\gamma }^{2}}\frac{\Delta V}{V}\] done clear
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• question_answer7)
  The gas law \[\frac{PV}{T}=\] constant is true for [MNR 1974; MP PMT 1984; BHU 1995, 98, 2000]
  A)
             Isothermal changes only  done clear
  B)
             Adiabatic changes only done clear
  C)
             Both isothermal and adiabatic changes done clear
  D)
             Neither isothermal nor adiabatic changes done clear
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• question_answer8)
  One mole of \[{{O}_{2}}\] gas having a volume equal to 22.4 litres at \[{{0}^{o}}C\] and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is [MP PET 1993; BVP 2003]
  A)
             \[1672.5\ J\]                          done clear
  B)
             1728 J done clear
  C)
             \[-1728J\]                               done clear
  D)
             \[-1572.5\ J\] done clear
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• question_answer9)
  If a gas is heated at constant pressure, its isothermal compressibility                       [MP PET 1984]
  A)
             Remains constant done clear
  B)
             Increases linearly with temperature done clear
  C)
             Decreases linearly with temperature done clear
  D)
             Decreases inversely with temperature done clear
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• question_answer10)
  Work done per mol in an isothermal change is [RPMT 2004; BCECE 2005]
  A)
             \[RT{{\log }_{10}}\frac{{{V}_{2}}}{{{V}_{1}}}\]            done clear
  B)
             \[RT{{\log }_{10}}\frac{{{V}_{1}}}{{{V}_{2}}}\] done clear
  C)
             \[RT{{\log }_{e}}\frac{{{V}_{2}}}{{{V}_{1}}}\]              done clear
  D)
             \[RT{{\log }_{e}}\frac{{{V}_{1}}}{{{V}_{2}}}\] done clear
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• question_answer11)
  The isothermal Bulk modulus of an ideal gas at pressure P is [CPMT 1974, 81; UPSEAT 1998; IIT 1998]
  A)
             P     done clear
  B)
             \[\gamma P\] done clear
  C)
             P / 2                                          done clear
  D)
             P / g done clear
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• question_answer12)
  In isothermal expansion, the pressure is determined by [AFMC 1995]
  A)
             Temperature only done clear
  B)
             Compressibility only done clear
  C)
             Both temperature and compressibility done clear
  D)
             None of these done clear
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• question_answer13)
  The isothermal bulk modulus of a perfect gas at normal pressure is                                          [AFMC 1997]
  A)
             \[1.013\times {{10}^{5}}N/{{m}^{2}}\]                          done clear
  B)
             \[1.013\times {{10}^{6}}N/{{m}^{2}}\] done clear
  C)
             \[1.,013\times {{10}^{-11}}N/{{m}^{2}}\]                     done clear
  D)
             \[1.013\times {{10}^{11}}N/{{m}^{2}}\] done clear
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• question_answer14)
  In an isothermal change, an ideal gas obeys [EAMCET 1994; CPMT 1999]
  A)
             Boyle's law                             done clear
  B)
             Charle's law done clear
  C)
             Gaylussac law                       done clear
  D)
             None of the above done clear
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• question_answer15)
  In isothermic process, which statement is wrong [RPMT 1997]
  A)
             Temperature is constant done clear
  B)
             Internal energy is constant done clear
  C)
             No exchange of energy done clear
  D)
             (a) and (b) are correct done clear
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• question_answer16)
  An ideal gas A and a real gas B have their volumes increased from V to 2 V under isothermal conditions. The increase in internal energy [CBSE PMT 1993; JIPMER 2001, 02]
  A)
             Will be same in both A and B done clear
  B)
             Will be zero in both the gases done clear
  C)
             Of B will be more than that of A done clear
  D)
             Of A will be more than that of B done clear
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• question_answer17)
  The specific heat of a gas in an isothermal process is [AFMC 1998]
  A)
             Infinite                                    done clear
  B)
             Zero done clear
  C)
             Negative                                 done clear
  D)
             Remains constant done clear
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• question_answer18)
  A thermally insulated container is divided into two parts by a screen. In one part the pressure and temperature are P and T for an ideal gas filled. In the second part it is vacuum. If now a small hole is created in the screen, then the temperature of the gas will                                        [RPET 1999]
  A)
             Decrease                                done clear
  B)
             Increase done clear
  C)
             Remain same                        done clear
  D)
             None of the above done clear
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• question_answer19)
  A container that suits the occurrence of an isothermal process should be made of            [Pb. PMT 2000]
  A)
             Copper                                    done clear
  B)
             Glass done clear
  C)
             Wood                                       done clear
  D)
             Cloth done clear
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• question_answer20)
  In an isothermal process the volume of an ideal gas is halved. One can say that                   [MP PMT 2004]
  A)
             Internal energy of the system decreases done clear
  B)
             Work done by the gas is positive done clear
  C)
             Work done by the gas is negative done clear
  D)
             Internal energy of the system increases done clear
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• question_answer21)
  A thermodynamic process in which temperature T of the system remains constant though other variable P and V may change, is called                                                         [Pb. PMT 2004]
  A)
             Isochoric process                      done clear
  B)
             Isothermal process done clear
  C)
             Isobaric process                        done clear
  D)
             None of these done clear
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• question_answer22)
  If an ideal gas is compressed isothermally then [RPMT 2003]
  A)
             No work is done against gas done clear
  B)
             Heat is relased by the gas done clear
  C)
             The internal energy of gas will increase done clear
  D)
             Pressure does not change done clear
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• question_answer23)
  When an ideal gas in a cylinder was compressed isothermally by a piston, the work done on the gas was found to be  \[1.5\times {{10}^{4}}\ joules\]. During this process about [MP PMT 1987]
  A)
             \[3.6\times {{10}^{3}}\] cal  of heat flowed out from the gas done clear
  B)
             \[3.6\times {{10}^{3}}\] cal of heat flowed into the gas done clear
  C)
             \[1.5\times {{10}^{4}}\] cal of heat flowed into the gas done clear
  D)
             \[1.5\times {{10}^{4}}\] cal of heat flowed out from the gas done clear
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• question_answer24)
  When heat is given to a gas in an isothermal change, the result will be    [MP PET 1995; RPMT 1997]
  A)
             External work done           done clear
  B)
             Rise in temperature done clear
  C)
             Increase in internal energy done clear
  D)
             External work done and also rise in temp. done clear
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• question_answer25)
  When 1 gm of water at \[{{0}^{o}}C\] and \[1\times {{10}^{5}}\ N/{{m}^{2}}\] pressure is converted into ice of volume \[1.091\ c{{m}^{2}}\], the external work done will be
  A)
             0.0091 joule                           done clear
  B)
             0.0182 joule done clear
  C)
             ? 0.0091 joule                       done clear
  D)
             ? 0.0182 joule done clear
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• question_answer26)
  The latent heat of vaporisation of water is 2240 J/gm. If the work done in the process of expansion of 1 g is 168 J, then increase  in internal energy is    [Pb. PET 1998; CPMT 2000]
  A)
             2408 J                                       done clear
  B)
             2240 J done clear
  C)
             2072 J                                       done clear
  D)
             1904 J done clear
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• question_answer27)
  540 calories of heat convert 1 cubic centimeter of water at \[{{100}^{o}}C\] into 1671 cubic centimeter of steam at \[{{100}^{o}}C\] at a pressure of one atmosphere. Then the work done against the atmospheric pressure is nearly
  A)
             540 cal                                     done clear
  B)
             40 cal done clear
  C)
             Zero cal                                   done clear
  D)
             500 cal done clear
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• question_answer28)
  One mole of an ideal gas expands at a constant temperature of 300 K from an initial volume of 10 litres to a final volume of 20 litres. The work done in expanding the gas is (R = 8.31 J/mole-K)                        [MP PMT 1995; UPSEAT 2000]
  A)
             750 joules                               done clear
  B)
             1728 joules done clear
  C)
             1500 joules                             done clear
  D)
             3456 joules done clear
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• question_answer29)
  A cylinder fitted with a piston contains 0.2 moles of air at temperature 27°C. The piston is pushed so slowly that the air within the cylinder remains in thermal equilibrium with the surroundings. Find the approximate work done by the system if the final volume is twice the initial volume [BHU (Med.) 2000]
  A)
             543 J                                         done clear
  B)
             345 J done clear
  C)
             453 J                                         done clear
  D)
             600 J done clear
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• question_answer30)
  The volume of an ideal gas is 1 litre and its pressure is equal to 72cm of mercury column. The volume of gas is made 900 cm3 by compressing it isothermally. The stress of the gas will be        [UPSEAT 1999]
  A)
             8 cm (mercury)                    done clear
  B)
              7 cm (mercury) done clear
  C)
             6 cm (mercury)                    done clear
  D)
              4 cm (mercury) done clear
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• question_answer31)
  During an isothermal expansion of an ideal gas [UPSEAT 2005]
  A)
             Its internal energy decreases done clear
  B)
             Its internal energy does not change done clear
  C)
             The work done by the gas is equal to the quantity of heat absorbed by it          done clear
  D)
             Both (b) and (c) are correct done clear
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