Home/ Questions/Q 492391
Next
In Process
Nilima Modi
Asked: 2022-11-04T05:10:26+05:30 In:

An ideal gas is expanded such that `PT^(2)=a` constant. The coefficient of volume expansion of the gas is
A. `(1)/(T)`
B. `(2)/(T)`
C. `(3)/(T)`
D. `(4)/(T)`

An ideal gas is expanded such that `PT^(2)=a` constant. The coefficient of volume expansion of the gas is
A. `(1)/(T)`
B. `(2)/(T)`
C. `(3)/(T)`
D. `(4)/(T)`
Parabola
Leave an answer

Leave an answer

Browse

1 Answer

  1. Correct Answer – C
    From ideal gas eduation
    `PV = n RT` or `P=(n RT)/(V)`
    as gas expands such that
    `PT^(2)=a` constant `=C` (say)
    so `((n RT)/(V))T^(2) =C` or `T^(3) prop V`
    or `T^(3) =k V` …..(i)
    Diffrentiating it w.r.t. T, we have
    `3T^(2) =k(dV)/(dT)`
    Dividing it by (i), we have
    `(3)/(T) =(1)/(V) (dV)/(dT)`
    Coefficient of volume expansion,
    `gamma=(1)/(V) (dV)/(dT) =(3)/(T)`

    • 0