(a)
The change in internal energy of the water in joules.
(a)
Answer to Problem 5SP
The change in internal energy of the water in joules is
Explanation of Solution
Given info: The amount of water in the beaker is
Work is done on the system, thus the work done will be negative.
Write the expression of first Law of
Here,
One calorie is equal to
Substitute
Conclusion:
The change in internal energy of the water in joules is
(b)
The change in the internal energy of the water in calories.
(b)
Answer to Problem 5SP
The change in the internal energy of the water in calories is
Explanation of Solution
Given info:
Write the expression of first Law of Thermodynamics
Here,
One calorie is equal to
Substitute
Conclusion:
The change in the internal energy of the water in calorie is
(c)
The temperature changes of the water.
(c)
Answer to Problem 5SP
The temperature change of the water is
Explanation of Solution
Write the expression for temperature change in terms of specific heat capacity
Here,
Substitute
Conclusion:
The temperature change of the water is
(d)
To explain whether the answers in the first three parts will differ if the work done is
(d)
Answer to Problem 5SP
Yes, Internal energy and temperature change are depending on the values of heat added or removed and work done, the answer will be different for each values of heat added and work done.
Explanation of Solution
Write the expression of first Law of Thermodynamics
Here,
One calorie is equal to
Substitute
It is same as
Write the expression for temperature change in terms of specific heat capacity
Here,
Substitute
All the three parts are giving different answers for
Conclusion:
Since internal energy and temperature change are depending on the values of heat added or removed and work done, the answer will be different for each values of heat added and work done.
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