JEE Main & Advanced Physics Thermodynamical Processes Question Bank

done Topic Test - Thermodynamical Process (2021) Total Questions - 40

• question_answer1)
  The temperature of an ideal gas is kept constant as it expands. The gas does external work. During this process, the internal energy of the gas            
  A)
  Decreases done clear
  B)
  Increases done clear
  C)
  Remains constant done clear
  D)
  Depends on the molecular motion done clear
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• question_answer2)
  Which of the following is not thermodynamical function
  A)
  Enthalpy done clear
  B)
  Work done done clear
  C)
  Gibb's energy      done clear
  D)
  Internal energy done clear
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• question_answer3)
  If \[\Delta Q\] and \[\Delta W\] represent the heat supplied to the system and the work done on the system respectively, then the first law of thermodynamics can be written as
  A)
  \[\Delta Q=\Delta U+\Delta W\] done clear
  B)
  \[\Delta Q=\Delta U-\Delta W\] done clear
  C)
  \[\Delta Q=\Delta W-\Delta U\] done clear
  D)
  \[\Delta Q=-\Delta W-\Delta U\] done clear
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• question_answer4)
  A system is provided with 200 cal of heat and the work done by the system on the surrounding is 40 J. Then its internal energy                       
  A)
  Increases by 600 J done clear
  B)
  Decreases by 800 J done clear
  C)
  Increases by 800 J done clear
  D)
  Decreases by 50 J done clear
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• question_answer5)
  The state of a thermodynamic system is represented by       
  A)
  Pressure only done clear
  B)
  Volume only done clear
  C)
  Pressure, volume and temperature done clear
  D)
  Number of moles            done clear
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• question_answer6)
  In an isothermal expansion          
  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_answer7)
  In isothermal expansion, the pressure is determined by
  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_answer8)
  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_answer9)
  The pressure in the tyre of a car is four times the atmospheric pressure at 300 K. If this tyre suddenly bursts, its new temperature will be \[(\gamma =1.4)\]
  A)
  \[300\,{{(4)}^{1.4/0.4}}\] done clear
  B)
  \[300\,{{\left( \frac{1}{4} \right)}^{-0.4/1.4}}\] done clear
  C)
  \[300\,{{(2)}^{-0.4/1.4}}\] done clear
  D)
  \[300\,{{(4)}^{-0.4/1.4}}\] done clear
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• question_answer10)
  An ideal gas at \[{{27}^{o}}C\] is compressed adiabatically to \[\frac{8}{27}\] of its original volume.  If \[\gamma =\frac{5}{3}\],  then the rise in temperature is
  A)
  450 K done clear
  B)
  375 K done clear
  C)
  225 K done clear
  D)
  405 K done clear
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• question_answer11)
  One gm mol of a diatomic gas \[(\gamma =1.4)\] is compressed adiabatically so that its temperature rises from \[{{27}^{o}}C\] to \[{{127}^{o}}C\]. The work done will be
  A)
  2077.5 joules      done clear
  B)
  207.5 joules done clear
  C)
  207.5 ergs done clear
  D)
  None of the above done clear
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• question_answer12)
  Helium at \[{{27}^{o}}C\] has a volume of 8 litres. It is suddenly compressed to a volume of 1 litre. The temperature of the gas will be \[[\gamma =5/3]\]
  A)
  \[{{108}^{o}}C\] done clear
  B)
  \[{{9327}^{o}}C\] done clear
  C)
  \[{{1200}^{o}}C\] done clear
  D)
  \[{{927}^{o}}C\] done clear
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• question_answer13)
  In an adiabatic process, the state of a gas is changed from \[{{P}_{1}},{{V}_{1}},{{T}_{1}},\] to \[{{P}_{2}},{{V}_{2}},{{T}_{2}}\]. Which of the following relation is correct                   
  A)
  \[{{T}_{1}}{{V}_{1}}^{\gamma -1}={{T}_{2}}{{V}_{2}}^{\gamma -1}\] done clear
  B)
  \[{{P}_{1}}{{V}_{1}}^{\gamma -1}={{P}_{2}}{{V}_{2}}^{\gamma -1}\] done clear
  C)
  \[{{T}_{1}}{{P}_{1}}^{\gamma }={{T}_{2}}{{P}_{2}}^{\gamma }\]           done clear
  D)
  \[{{T}_{1}}{{V}_{1}}^{\gamma }={{T}_{2}}{{V}_{2}}^{\gamma }\] done clear
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• question_answer14)
  A gas for which \[\gamma =1.5\]is suddenly compressed to\[\frac{1}{4}\]th of the initial volume. Then the ratio of the final to the initial pressure is       
  A)
  1 : 16 done clear
  B)
  1 : 8 done clear
  C)
  1 : 4 done clear
  D)
  8 : 1 done clear
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• question_answer15)
  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    
  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_answer16)
  For a reversible process, necessary condition is
  A)
  In the whole cycle of the system, the loss of any type of heat energy should be zero done clear
  B)
  That the process should be too fast done clear
  C)
  That the process should be slow so that the working substance should remain in thermal and mechanical equilibrium with the surroundings done clear
  D)
  The loss of energy should be zero and it should be quasistatic done clear
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• question_answer17)
  A carnot engine has the same efficiency between  800 K to 500 K and x K to 600 K. The value of x is
  A)
  1000 K done clear
  B)
  960 K done clear
  C)
  846 K done clear
  D)
  754 K done clear
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• question_answer18)
  An ideal gas heat engine operates in Carnot cycle between 227°C and 127°C. It absorbs \[6\times {{10}^{4}}\] cals of heat at higher temperature. Amount of heat converted to work is
  A)
  \[2.4\times {{10}^{4}}\]cal done clear
  B)
  \[6\times {{10}^{4}}\] cal done clear
  C)
  \[1.2\times {{10}^{4}}\] cal done clear
  D)
  \[4.8\times {{10}^{4}}\] cal done clear
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• question_answer19)
  Which of the following parameters does not characterize the thermodynamic state of matter
  A)
  Volume done clear
  B)
  Temperature done clear
  C)
  Pressure done clear
  D)
  Work done clear
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• question_answer20)
  If a system undergoes contraction of volume then the work done by the system will be
  A)
  Zero done clear
  B)
  Negligible done clear
  C)
  Negative done clear
  D)
  Positive done clear
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• question_answer21)
  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)
  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_answer22)
  A gas at NTP is suddenly compressed to one-fourth of its original volume. If  \[\gamma \] is supposed to be \[\frac{3}{2}\], then the final pressure is                     
  A)
  4 atmosphere done clear
  B)
  \[\frac{3}{2}\] atmosphere done clear
  C)
  8 atmosphere     done clear
  D)
  \[\frac{1}{4}\] atmosphere done clear
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• question_answer23)
  The adiabatic elasticity of hydrogen gas \[(\gamma =1.4)\] at NTP is
  A)
  \[1\times {{10}^{5}}\ N/{{m}^{2}}\]   done clear
  B)
  \[1\times {{10}^{-8}}\ N/m2\] done clear
  C)
  \[1.4\ N/{{m}^{2}}\] done clear
  D)
  \[1.4\times {{10}^{5}}N/{{m}^{2}}\] done clear
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• question_answer24)
  A diatomic gas initially at 18°C is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be
  A)
  \[{{10}^{o}}C\] done clear
  B)
  \[{{887}^{o}}C\] done clear
  C)
  \[668K\] done clear
  D)
  \[{{144}^{o}}C\] done clear
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• question_answer25)
  The internal energy of the gas increases In
  A)
  Adiabatic expansion        done clear
  B)
  Adiabatic compression done clear
  C)
  Isothermal expansion       done clear
  D)
  Isothermal compression done clear
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• question_answer26)
  When heat in given to a gas in an isobaric process, then
  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_answer27)
  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)                                 
  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_answer28)
  Which relation is correct for isometric process
  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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• question_answer29)
  An ideal gas heat engine operates in a Carnot's cycle between \[{{227}^{o}}C\] and \[{{127}^{o}}C\]. It absorbs 6 × 104 J at high temperature. The amount of heat converted into work is ....
  A)
  \[4.8\times {{10}^{4}}\,J\] done clear
  B)
  \[3.5\times {{10}^{4}}\,J\] done clear
  C)
  \[1.6\times {{10}^{4}}\,J\] done clear
  D)
  \[1.2\times {{10}^{4}}\,J\] done clear
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• question_answer30)
  A Carnot engine operates between \[{{227}^{o}}C\] and \[{{27}^{o}}C.\] Efficiency of the engine will be   
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{2}{5}\] done clear
  C)
  \[\frac{3}{4}\] done clear
  D)
  \[\frac{3}{5}\] done clear
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• question_answer31)
  An ideal refrigerator has a freezer at a temperature of \[-13{}^\circ C.\] The coefficient of performance of the engine is 5. The temperature of the air (to which heat is rejected) will be
  A)
  325°C done clear
  B)
  325K done clear
  C)
  39°C     done clear
  D)
  320°C done clear
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• question_answer32)
  A system performs work \[\Delta W\] when an amount of heat is \[\Delta Q\] added to the system, the corresponding change in the internal energy is \[\Delta U\]. A unique function of the initial and final states (irrespective of the mode of change) is
  A)
  \[\Delta Q\] done clear
  B)
  \[\Delta W\] done clear
  C)
  \[\Delta U\] and \[\Delta Q\] done clear
  D)
  \[\Delta U\] done clear
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• question_answer33)
  In thermodynamic process, 200 Joules of heat is given to a gas and 100 Joules of work is also done on it. The change in internal energy of the gas is
  A)
  100 J done clear
  B)
  300 J done clear
  C)
  419 J done clear
  D)
  24 J done clear
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• question_answer34)
  The specific heat of hydrogen gas at constant pressure is \[{{C}_{P}}=3.4\times {{10}^{3}}cal/kg{{\,}^{o}}C\] and at constant volume is \[{{C}_{V}}=2.4\times {{10}^{3}}cal/kg{{\,}^{o}}C.\]If one kilogram hydrogen gas is heated from \[{{10}^{o}}C\] to \[{{20}^{o}}C\] at constant pressure, the external work done on the gas to maintain it at constant pressure is
  A)
  \[{{10}^{5}}\,\]cal done clear
  B)
  \[{{10}^{4}}\]cal done clear
  C)
  \[{{10}^{3}}\] cal done clear
  D)
  \[5\times {{10}^{3}}\]cal done clear
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• question_answer35)
  In a thermodynamics process, pressure of a fixed mass of a gas is changed in such a manner that the gas releases 20 J of heat and 8J of work is done on the gas. If the initial internal energy of the gas was 30J. The final internal energy will be 
  A)
  18J done clear
  B)
  9J done clear
  C)
  4.5J      done clear
  D)
  36J done clear
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• question_answer36)
  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
  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_answer37)
  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
  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_answer38)
  When heat is given to a gas in an isothermal change, the result will be           
  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_answer39)
  During an isothermal expansion of an ideal gas
  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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• question_answer40)
  The amount of work done in an adiabatic expansion from temperature T to \[{{T}_{1}}\] is   
  A)
  \[R(T-{{T}_{1}})\] done clear
  B)
  \[\frac{R}{\gamma -1}(T-{{T}_{1}})\] done clear
  C)
  RT done clear
  D)
  \[R(T-{{T}_{1}})(\gamma -1)\] done clear
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