Your (perfectly insulated) bathtub has 82 liters of water in it, but it has cooled down to a temperature of
The required mass of cold water to be added with the bathwater.
Answer to Problem 67A
The required mass of cold water to be added with the bathwater to obtain the perfect temperature is
Explanation of Solution
Given:
The mass of hot water
The initial temperature after cooled down the water is
The right amount of water temperature to be added is
The perfect temperature needed is
Formula used:
Assume that there is no heat lost to surroundings. The expression for the heat lost by water at
Here,
Calculation:
The required mass of cold water to be added with the bathwater to obtain the perfect temperature is,
Conclusion:
Thus, the required mass of cold water to be added with the bathwater to obtain the perfect temperature is
Chapter 21 Solutions
Conceptual Physics: The High School Physics Program
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