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

2004 · Q155
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. /2004 · Q155

Heat and Thermodynamics question

2004 · Q155

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
One mole of an ideal gas at an initial temperature of T K does 6R joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, the final temperature of gas will be
  1. A
    (T + 2.4) K
  2. B
    (T −-− 2.4) K
  3. C
    (T + 4) K
  4. D
    (T −-− 4) K
View written solutionFree

Correct answer: D

T1=T,W=6R joules,γ=53{T_1} = T,W = 6R\,joules,\gamma = {5 \over 3}T1​=T,W=6Rjoules,γ=35​

W=P1V1−P2V2γ−1=nRT1−nRT2γ−1W = {{{P_1}{V_1} - {P_2}{V_2}} \over {\gamma - 1}} = {{nR{T_1} - nR{T_2}} \over {\gamma - 1}}W=γ−1P1​V1​−P2​V2​​=γ−1nRT1​−nRT2​​

=nR(T1−T2)γ−1 = {{nR\left( {{T_1} - {T_2}} \right)} \over {\gamma - 1}}=γ−1nR(T1​−T2​)​

n=1,T1=T⇒R(T−T2)5/3−1=6Rn = 1,{T_1} = T \Rightarrow {{R\left( {T - {T_2}} \right)} \over {5/3 - 1}} = 6Rn=1,T1​=T⇒5/3−1R(T−T2​)​=6R

⇒T2=(T−4)K \Rightarrow {T_2} = \left( {T - 4} \right)K⇒T2​=(T−4)K

PreviousNext

More from Heat and Thermodynamics

  • An ideal gas heat engine operates in a Carnot cycle between 227oC and 127oC. It absorbs 6 kcal at the height temperature. The amount of heat (in kcal) converted into work is equal to2003 · MCQ
  • The efficiency of Carnot engine is 50% and temperature of sink is 500 K. If temperature of source is kept constant and its efficiency raised to 60%, then the required temperature of sink will be2002 · MCQ
  • A scientist says that the efficiency of his heat engine which work at source temperature 127oC and sink temperature 27oC is 26%, then2001 · MCQ
  • To find out degree of freedom, the expansion is2000 · MCQ
  • The (W/Q) of a Carnot engine is 1/6, now the temperature of sink is reduced by 62oC, then this ratio becomes twice, therefore the initial temperature of the sink and source are respectively2000 · MCQ
  • Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity 2K while that in the middle has thermal conductivity K. The left end of the combination is maintained… Includes diagram2025 · MCQ
  • A container has two chambers of volumes V1​=2 litres and V2​=3 litres separated by a partition made of a thermal insulator. The chambers contain n1​=5 and n2​=4 moles of ideal gas at pressures p1​=1 atm and p2​=2 atm…2025 · MCQ
  • An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressures at temperature 27∘C. The mass of the oxygen…2025 · MCQ