Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Heat and Thermodynamics question

2015 · Q152
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Heat and Thermodynamics
  5. /2015 · Q152

Heat and Thermodynamics question

2015 · Q152

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
The ratio of the specific heats CpCv=γ{{{C_p}} \over {{C_v}}} = \gammaCv​Cp​​=γ in terms of degrees of freedom (n) is given by
  1. A
    (1+2n)\left( {1 + {2 \over n}} \right)(1+n2​)
  2. B
    (1+n2)\left( {1 + {n \over 2}} \right)(1+2n​)
  3. C
    (1+1n)\left( {1 + {1 \over n}} \right)(1+n1​)
  4. D
    (1+n3)\left( {1 + {n \over 3}} \right)(1+3n​)
View written solutionFree

Correct answer: A

For n degrees of freedom, Cv=n2R{C_v} = {n \over 2}RCv​=2n​R

Also, Cp−Cv=R{C_p} - {C_v} = RCp​−Cv​=R

Cp=Cv+R=n2R+R=(n2+1)R{C_p} = {C_v} + R = {n \over 2}R + R = \left( {{n \over 2} + 1} \right)RCp​=Cv​+R=2n​R+R=(2n​+1)R

γ=CpCv=(n2+1)Rn2R=n+2n\gamma = {{{C_p}} \over {{C_v}}} = {{\left( {{n \over 2} + 1} \right)R} \over {{n \over 2}R}} = {{n + 2} \over n}γ=Cv​Cp​​=2n​R(2n​+1)R​=nn+2​

∴\therefore∴ γ=1+2n\gamma = 1 + {2 \over n}γ=1+n2​

PreviousNext

More from Heat and Thermodynamics

  • Figure below shows two paths that may be taken by a gas to go from a state A to a state C. 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… Includes diagram2015 · MCQ
  • One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure. The change in internal energy of the gas during the transition is Includes diagram2015 · MCQ
  • 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 γ = 5/3)2014 · MCQ
  • A thermodynamic system undergoes cyclic process ABCDA as shown in figure. The work done by the system in the cycle is Includes diagram2014 · MCQ
  • The mean free path of molecules of a gas, (radius r) is inversely proportional to2014 · MCQ
  • Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?2013 · MCQ
  • 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​=10J. Along the path adc the amount of heat absorbed dQ1 = 50 J and the work obtained dW1 = 20 J whereas… Includes diagram2013 · MCQ
  • Two Carnot engines A and B are operated in series. The engine A receives heat from the source at temperature T1 and rejects the heat to the sink at temperature T. The second engine B receives the heat at temperature T and rejects to its…2013 · MCQ