Q. 22
A sample of an id
Answer :
Given P1 = 150 KPa = 150 × 103 Pa, V1 = 150 cm3 ,V2=50 cm3, T1 = 300 K
(a)By ideal gas equation,
where P, V and T are the pressure, volume and absolute temperature; n is the number of moles of gas; R is the ideal gas constant
I.e.
(b)We know Cp/Cv=γ R=Cp-Cv,
where the molar heat capacity C, at constant pressure, is represented by Cp, at constant volume, the molar heat capacity C is represented by Cv
Now,
(c) Since the process is adiabatic,
PVγ = const.
I.e.
Also, as the process is adiabatic,
(d) From the first law of thermodynamics,
, where dQ is the amount of heat supplied which is zero in an adiabatic process.
i.e.
, where n is the number of moles, Cv is the molar heat capacity at constant volume and dT is the change in temperature
(e)Change in internal energy, dU is
, where n is the number of moles, Cv is the molar heat capacity at constant volume and dT is the change in temperature.
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