NEET-XI-Physics

exam-2 year:2016

with Solutions - page 3
  • #129
    One mole of an ideal monatomic gas undergoes a
    process described by the equation ``PV^3`` = constant.
    The heat capacity of the gas during this process is
    (1) 2 R
    (2) R
    (3)``\frac32`` R
    (4)``\frac52`` R
    digAnsr:   2
    Ans : (2)
    Sol. PVx = constant (Polytropic process)
    Heat capacity in polytropic process is given by
    V
    R
    C C
    1 x
     
    = +  
    Given that PV3 = constant &implies; x = 3 ...(1)
    also gas is monoatomic so V
    3
    C R
    2
    = ...(2)
    by formula
    3 R 3 R
    C R R R
    2 1 3 2 2
    = + =  =
    
    
    
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