JEE Main & Advanced Physics Thermodynamical Processes Question Bank

done Isobaric and Isochoric Processes Total Questions - 23

• question_answer1)
  A gas expands under constant pressure P from volume \[{{V}_{1}}\]to\[{{V}_{2}}\]. The work done by the gas is [CBSE PMT 1990; RPMT 2003]
  A)
             \[P({{V}_{2}}-{{V}_{1}})\]        done clear
  B)
             \[P({{V}_{1}}-{{V}_{2}})\] done clear
  C)
             \[P(V_{1}^{\gamma }-V_{2}^{\gamma })\]                 done clear
  D)
             \[P\frac{{{V}_{1}}{{V}_{2}}}{{{V}_{2}}-{{V}_{1}}}\] done clear
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• question_answer2)
  When heat in given to a gas in an isobaric process, then [DPMT 2001]
  A)
             The work is done by the gas done clear
  B)
             Internal energy of the gas increases done clear
  C)
             Both (a) and (b) done clear
  D)
             None from (a) and (b) done clear
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• question_answer3)
  One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature T. If the temperature is increased by 1 K  keeping pressure constant, the increase in volume is
  A)
             \[\frac{2V}{273}\]               done clear
  B)
             \[\frac{V}{91}\] done clear
  C)
             \[\frac{V}{273}\]                 done clear
  D)
             V done clear
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• question_answer4)
  A gas is compressed at a constant pressure of \[50N/{{m}^{2}}\] from a volume of \[10{{m}^{3}}\] to a volume of \[4{{m}^{3}}\]. Energy of 100 J then added to the gas by heating. Its internal energy is    [MNR 1994]
  A)
             Increased by 400 J              done clear
  B)
             Increased by 200 J done clear
  C)
             Increased by 100 J              done clear
  D)
             Decreased by 200 J done clear
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• question_answer5)
  Work done by air when it expands from 50 litres to 150 litres at a constant pressure of 2 atmosphere is
  A)
             \[2\times {{10}^{4}}\]joules   done clear
  B)
             \[2\times 100\]joules done clear
  C)
             \[2\times {{10}^{5}}\times 100\]joules                          done clear
  D)
             \[2\times {{10}^{-5}}\times 100\]joules done clear
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• question_answer6)
  Work done by 0.1 mole of a gas at \[{{27}^{o}}C\] to double its volume at constant pressure is (R = 2 cal mol?1 oC?1) [EAMCET 1994]
  A)
             54 cal                                        done clear
  B)
             600 cal done clear
  C)
             60 cal                                        done clear
  D)
             546 cal done clear
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• question_answer7)
  Unit mass of a liquid with volume \[{{V}_{1}}\] is completely changed into a gas of volume \[{{V}_{2}}\] at a constant external pressure P and temperature T. If the latent heat of evaporation for the given mass is L, then the increase in the internal energy of the system is                                                                        [Roorkee 1999]
  A)
             Zero                                          done clear
  B)
             \[P({{V}_{2}}-{{V}_{1}})\] done clear
  C)
             \[L-P({{V}_{2}}-{{V}_{1}})\]    done clear
  D)
             L done clear
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• question_answer8)
  A gas expands \[0.25{{m}^{3}}\] at constant pressure \[{{10}^{3}}N/{{m}^{2}}\], the work done is  [CPMT 1997; UPSEAT 1999; JIPMER 2001, 02]
  A)
             2.5 ergs                                   done clear
  B)
             250 J done clear
  C)
             250 W                                       done clear
  D)
             250 N done clear
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• question_answer9)
  Two kg of water is converted into steam by boiling at atmospheric pressure. The volume changes from \[2\times {{10}^{-3}}\,{{m}^{3}}\] to \[3.34{{m}^{3}}.\] The work done by the system is about                                        [Roorkee 2000]
  A)
             ? 340 kJ                                   done clear
  B)
             ? 170 kJ done clear
  C)
             170 kJ                                       done clear
  D)
             340 kJ done clear
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• question_answer10)
  An ideal gas has volume \[{{V}_{0}}\] at \[{{27}^{o}}C.\]It is heated at constant pressure so that its volume becomes \[2{{V}_{0}}.\] The final temperature is                                                                 [BCECE 2003]
  A)
             \[{{54}^{o}}C\]                     done clear
  B)
             \[{{32.6}^{o}}C\] done clear
  C)
             \[327\ {}^\circ C\]               done clear
  D)
             150 K done clear
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• question_answer11)
  If 300 ml of a gas at \[{{27}^{o}}C\] is cooled to \[{{7}^{o}}C\] at constant pressure, then its final volume will be [Pb. PET 1999; BHU 2003; CPMT 2004]
  A)
             540 ml                                      done clear
  B)
             350 ml done clear
  C)
             280 ml                                      done clear
  D)
             135 ml done clear
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• question_answer12)
  Which of the following is correct in terms of increasing work done for the same initial and final state [RPMT 1996]
  A)
             Adiabatic < Isothermal < Isobaric done clear
  B)
             Isobaric < Adiabatic < Isothermal done clear
  C)
             Adiabatic < Isobaric < Isothermal done clear
  D)
             None of these done clear
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• question_answer13)
  A sample of gas expands from volume \[{{V}_{1}}\] to\[{{V}_{2}}\]. The amount of work done by the gas is greatest when the expansion is [CBSE PMT 1997; AIIMS 1998; JIPMER 2000]
  A)
             Isothermal                             done clear
  B)
             Isobaric done clear
  C)
             Adiabatic                                done clear
  D)
             Equal in all cases done clear
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• question_answer14)
  Which of the following is a slow process        [J & K CET 2000]
  A)
             Isothermal                             done clear
  B)
             Adiabatic done clear
  C)
             Isobaric                                   done clear
  D)
             None of these done clear
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• question_answer15)
  How much work to be done in decreasing the volume of and ideal gas by an amount of \[2.4\times {{10}^{-4}}{{m}^{3}}\] at normal temperature and constant normal pressure of \[1\times {{10}^{5}}N/{{m}^{2}}\] [UPSEAT 1999]
  A)
             28 joule                                   done clear
  B)
              27 joule done clear
  C)
             25 joule                                   done clear
  D)
              24 joule done clear
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• question_answer16)
  A Container having 1 mole of a gas at a temperature 27°C has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes 127°C. The work done is (Cp for gas is 7.03 cal/mol?K)                                                 [DCE 2005]
  A)
             703 J                                         done clear
  B)
             814 J done clear
  C)
             121 J                                         done clear
  D)
             2035 J done clear
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• question_answer17)
  In a reversible isochoric change                              [NCERT 1990]
  A)
             \[\Delta W=0\]                     done clear
  B)
             \[\Delta Q=0\] done clear
  C)
             \[\Delta T=0\]                       done clear
  D)
             \[\Delta U=0\] done clear
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• question_answer18)
  Entropy of a thermodynamic system does not change when this system is used for                                         [AIIMS 1995]
  A)
                     Conduction of heat from a hot reservoir to a cold reservoir done clear
  B)
                     Conversion of heat into work isobarically done clear
  C)
                     Conversion of heat into internal energy isochorically done clear
  D)
                     Conversion of work into heat isochorically done clear
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• question_answer19)
  The work done in which of the following processes is zero [UPSEAT 2003]
  A)
             Isothermal process            done clear
  B)
             Adiabatic process done clear
  C)
             Isochoric process                done clear
  D)
             None of these done clear
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• question_answer20)
  In which thermodynamic process, volume remains same  [Orissa PMT 2004]
  A)
             Isobaric                                      done clear
  B)
             Isothermal done clear
  C)
             Adiabatic                                   done clear
  D)
             Isochoric done clear
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• question_answer21)
  In an isochoric process if \[{{T}_{1}}={{27}^{o}}C\] and \[{{T}_{2}}={{127}^{o}}C,\] then \[{{P}_{1}}/{{P}_{2}}\] will be equal to                                                     [RPMT 2003]
  A)
             9 / 59                                        done clear
  B)
             2 / 3 done clear
  C)
             3 / 4                                          done clear
  D)
             At constant volume \[P\propto T\]Þ \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\]Þ\[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{300}{400}=\frac{3}{4}\] done clear
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• question_answer22)
  Which is incorrect                                                             [DCE 2001]
  A)
             In an isobaric process, \[\Delta p=0\] done clear
  B)
             In an isochoric process, \[\Delta W=0\] done clear
  C)
             In an isothermal process, \[\Delta T=0\] done clear
  D)
             In an isothermal process, \[\Delta Q=0\] done clear
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• question_answer23)
  Which relation is correct for isometric process [RPMT 2001; BCECE 2003]
  A)
             \[\Delta Q=\Delta U\]\[\]       done clear
  B)
             \[\Delta W=\Delta U\] done clear
  C)
             \[\Delta Q=\Delta W\]      done clear
  D)
             None of these done clear
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