(a)
Interpretation:
The value of change in pressure required to get a value of
Concept introduction:
The Gibbs free energy of the system represents the maximum amount of non-expansion work achieved by a
Answer to Problem 4.60E
The value of change in pressure required to get a value of
Explanation of Solution
The number of moles of water is
The molar volume is
The required value
The change in Gibbs energy of the condensed system is represented as shown below.
Where,
•
•
Rearrange the equation (1) for the value of
Substitute the value of
Therefore, the value of change in pressure required to get a value of
The value of change in pressure required to get a value
(b)
Interpretation:
The value of change in pressure for
Concept introduction:
The Gibbs free energy of the system represents the maximum amount of non-expansion work achieved by a thermodynamic system at isothermal and isobaric conditions. The change in Gibbs free energy is used to predict the spontaneity of the process. The change in Gibbs energy of the gaseous system isrepresented as shown below.
Answer to Problem 4.60E
The value of change in pressure for
Explanation of Solution
The temperature of the ideal gas is
The temperature of the ideal gas in Kelvin is calculated as shown below.
The required value of
The number of moles of the ideal gas is
The change in Gibbs energy of the gaseous system is represented as shown below.
Where,
•
•
•
•
•
Rearrange the equation (3) for the value of
Substitute the value of
The above expression is further solved as shown below.
One is subtracted from both sides of the above expression.
When the initial pressure of an ideal gas is assumed to be
Therefore, the value of change in pressure for
The value of change in pressure for
(c)
Interpretation:
The difference between the two corresponding values of change in pressure is to be explained.
Concept introduction:
The Gibbs free energy of the system represents the maximum amount of non-expansion work achieved by a thermodynamic system at isothermal and isobaric conditions. The change in Gibbs free energy is used to predict the spontaneity of the process. The change in Gibbs energy of the gaseous system isrepresented as shown below.
Answer to Problem 4.60E
The value of change in pressure for
Explanation of Solution
The value of change in pressure for
The value of change in pressure for
The value of change in pressure for
The gases are easily compressible than a condensed phase system. A small increase in pressure is required for compression of gas and a large increase in pressure is required to compress water. Therefore, the compression of gas requires less pressure than the compression of water.
The value of change in pressure for
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