What is the specific heat capacity of a 50-gram piece of
The required specific heat capacity of the piece of metal.
Answer to Problem 62A
The required specific heat capacity of the piece of metal is
Explanation of Solution
Given info:
The mass of the metal
The initial temperature of the metal is
The mass of water
The initial temperature of the water is
The equilibrium temperature of mixture of hot and cold water is
Formula used:
The certain amount of heat energy is supplied to increase the temperature of the substance.
The expression for the required amount of heat energy
Here,
The expression for the equal amount of heat lost by hot water to the amount of heat gain by cold water from the equilibrium condition is,
Here,
Calculation:
Take the specific heat of the water as
The required specific heat capacity of piece of the metal is,
Conclusion:
Thus, the required specific heat capacity of piece of the metal is
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