The number of times the spoon is to be stirred to cause a given temperature change.
Answer to Problem 27PP
The number of times the spoon is to be stirred is
Explanation of Solution
Given:
A spoon is stirred in cup of tea with mass 0.15-kg which increases its temperature by 20C
Formula Used:
According to First Law of
Where,
Q is the heat supplied to the object
W is the work done by the object.
The thermal energy is given by,
Here, m represents the mass of the object,C represents specific heat of the object and
Calculation:
Here, work is done on the object which is the cup of tea. The work done by the spoon is given by,
Also, there is no external source of heat energy. Thus,
Now, the thermal energy for the tea of mass
Thus, based on (1), the thermal energy is given by,
Now, the work done by the spoon for one stir is 0.050 J. If the number of stirs is n, the above equation can be rewritten as,
Conclusion:
Therefore, the number of stirs needed for the desired temperature change in tea is
Chapter 12 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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