PROBLEMS 1. Prove the following equations for a simple compressible system. acu (a) T [+] (b) (32) 2 - - 7 [27 (0)], du/T Әр where a and x are the coefficients of thermal expansion and the isothermal compressibility respectively. for a simple compressible system
PROBLEMS 1. Prove the following equations for a simple compressible system. acu (a) T [+] (b) (32) 2 - - 7 [27 (0)], du/T Әр where a and x are the coefficients of thermal expansion and the isothermal compressibility respectively. for a simple compressible system
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Transcribed Image Text:PROBLEMS
1. Prove the following equations for a simple compressible system:
ace
(b)
ap
= -T
(a)
= T
aT
IT
where a and k are the coefficients of thermal expansion and the
isothermal compressibility respectively.
2. Prove the following equations for a simple compressible system:
aT
(a) du = C, dT +
dv
(b) dh= c, dT + (v – aTv) dp
%3D
KCy
(c) ds =
aT
dp +
(d) da=-(opv + s) dT + kpv dp
dv
%3D
3. Find the coefficient of thermal expansion a and the isothermal
compressibility k from each of the following p-v-T relations:
RT
(a) Ideal gas equation, p =
%3D
RT
(b) Dieterici equation, p =
v -6
RT
(c) Saha-Bose equation, p =
e-a/RTV
%3D
-2b
In
(2)
2b
In the above equations R is the gas constant and a and b are specific constants.
Verify that for large values of T and v all the expressions for a and K go over into
the corresponding expressions for an ideal gas.
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