A)
Interpretation:
Derive an expression for the following in terms of
Concept introduction:
Use the fundamental property relationship, total derivatives , and expansion rule to obtain the expression for the given term.
The expression for the fundamental property relation for enthalpy is given as follows:
Here, change in molar enthalpy is
the expression for the total derivative for molar enthalpy is given as follows:
Here, change in molar entropy and change in molar enthalpy at constant pressure is
B)
Interpretation:
Derive an expression for the following in terms of
Concept introduction:
Use the expansion rule and Maxwell’s relation to obtain the expression for the given term.
The expansion rule to
Here, change in molar enthalpy with respect to change in pressure at constant temperature is
C)
Interpretation:
Derive an expression for the following in terms of
Concept introduction:
Use the fundamental property relationship, total derivatives, and expansion rule to obtain the expression for the given term.
The fundamental property relation for molar internal energy.
Here, molar change in internal energy is
The total derivative of molar change in internal energy.
Here, change in molar internal energy with respect to change in molar entropy at constant molar volume is
D)
Interpretation:
Derive an expression for the following in terms of
Concept introduction:
Use the expansion rule to obtain the expression for the given term.
The expansion rule to
E)
Interpretation:
Derive an expression for the following in terms of
Concept introduction:
Use the fundamental property relationship, total derivatives, expansion rule, and triple product rule to obtain the expression for the given term.
F)
Interpretation:
Derive an expression for the following in terms of
Concept introduction:
Use the expansion rule to obtain the expression for the given term.
The expansion rule to
G)
Interpretation:
Derive an expression for the following in terms of
Concept introduction:
Compare the fundamental property relation and total derivatives of
Write the fundamental property relation.
Here, change in pressure is dP, change in temperature is dT, change in molar Gibbs free energy is
Write the total derivative of
Here, change in molar Gibbs free energy with respect to pressure at constant temperature is
H)
Interpretation:
Derive an expression for the following in terms of
Concept introduction:
Use the expansion rule and triple product rule to obtain the expression for
The expansion rule with T and P for
Here, change in temperature with respect to pressure at constant molar entropy is
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Chapter 6 Solutions
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