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Heat and Thermodynamics question

2016 · Q155
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Heat and Thermodynamics question

2016 · Q155

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
One mole of an ideal monatomic gas undergoes a process described by the equation PV3 = constant. The heat capacity of the gas during this process is
  1. A
    32{3 \over 2}23​ R
  2. B
    52{5 \over 2}25​ R
  3. C
    2R
  4. D
    R
View written solutionFree

Correct answer: D

Process described by the equation,

PV3 = constant

For a polytropic process, PVα\alpha α = constant

C=CV+R1−α=32R+R1−3=RC = {C_V} + {R \over {1 - \alpha }} = {3 \over 2}R + {R \over {1 - 3}} = RC=CV​+1−αR​=23​R+1−3R​=R

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