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Thermodynamics
Basic Thermodynamics
Quiz 1
Solution
Q.1.
What do we get on equating the first and second TdS equations?
a) Cp-Cv = T*(∂T/∂p)*(∂V/∂T)
b) Cp-Cv = T*(∂p/∂T)*(∂V/∂T)
c) Cp+Cv = T*(∂p/∂T)*(∂V/∂T)
d) none of the mentioned
Q.2.
Consider the equation Cp-Cv = -T*(∂p/∂V)(∂V/∂T)2 , which of the following is correct?
a) (∂V/∂T)2 is always positive
b) (∂p/∂V) for any substance is negative
c) (Cp-Cv) is always positive
d) all of the mentioned
Q.3.
When do we have the condition Cp=Cv?
a) as T approaches 0K, Cp tends to approach Cv
b) when (∂V/∂T)=0, Cp=Cv
c) both of the mentioned are correct
d) none of the mentioned are correct
Q.4.
For an ideal gas,
a) Cp-Cv = R
b) Cp-Cv = mR
c) Cp=Cv
d) all of the mentioned
Q.5.
The volume expansivity and isothermal compressibility is defined as
a) volume expansivity = (1/V)*(∂V/∂T) at p and isothermal compressibility = (-1/V)*(∂V/∂T) at T
b) volume expansivity = (1/V)*(∂V/∂T) at p and isothermal compressibility = (-1/V)*(∂V/∂T) at T
c) volume expansivity = (1/V)*(∂V/∂T) at p and isothermal compressibility = (-1/V)*(∂V/∂T) at T
d) none of the mentioned
Q.6.
The equation Cp-Cv = -T*(∂p/∂V)(∂V/∂T)2 can also be expressed as
a) Cp-Cv = T*V*(isothermal compressibility)2 / (volume expansivity)
b) Cp-Cv = T*V*(isothermal compressibility) / (volume expansivity)
c) Cp-Cv = T*V*(volume expansivity)2 / (isothermal compressibility)
d) Cp-Cv = T*V*(volume expansivity) / (isothermal compressibility)
Q.7.
At constant entropy, the two TdS equations give us the relation
a) Cp+Cv = 0
b) Cp=Cv
c) Cp-Cv = mR
d) Cp/Cv = ɣ
Q.8.
The slope of an isentrope is ____ the slope of an isotherm on p-v diagram.
a) less than
b) greater than
c) equal to
d) less than or equal to
Q.9.
Work done in reversible and isothermal compression is ____ the work done in reversible and adiabatic compression.
a) equal to
b) greater than
c) less than
d) less than or equal to
Q.10.
Isothermal compression requires minimum work.
a) true
b) false
Q.11.
Which of the following relation gives ɣ .
a) 1/(isothermal compressibility *adiabatic compressibility)
b) isothermal compressibility * adiabatic compressibility
c) adiabatic compressibility / isothermal compressibility
d) isothermal compressibility / adiabatic compressibility
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