Which of the following functions are exact differentials?
(a)
(b)
(c)
(d)
(e)
(f)
(a)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,
(b)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,
(c)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,
(d)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,
(e)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,
(f)
Interpretation:
Whether the function,
Concept introduction:
A function is said to be an exact differential if it satisfies the relation given below.
In the above equation,
Answer to Problem 4.36E
The given function,
Explanation of Solution
The given function is written below.
Using the identity of exact differential, the function can be differentiated as shown below.
Since,
The given function,
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Chapter 4 Solutions
Physical Chemistry
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