ThermodynamicsMedium
Question
Two different ideal diatomic gases A and B are initially in the same state. A and B are then expanded to same final volume through adiabatic and isothermal process respectively. If PA , PB and TA , TB represents the final pressure and temperatures of A and B respectively then:
Options
A.PA < PB and TA < TB
B.PA > PB and TA > TB
C.PA > PB and TA < TB
D.PA < PB and TA > TB
Solution
(A)
For adiabatic process
P V1γ = PA V2γ
PA = P
......(1)
For isothermal process
P V1 = PB V2
PB = P
.....(2)
From (1) and (2)
PA < PB [For expansion V2 > V1]
and by PV = nRT TA < TB
For adiabatic process
P V1γ = PA V2γ
PA = P
......(1)For isothermal process
P V1 = PB V2
PB = P
.....(2)From (1) and (2)
PA < PB [For expansion V2 > V1]
and by PV = nRT TA < TB
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