Concept explainers
(a)
The final temperature of the system.
(a)
Answer to Problem 41P
The final temperature of the system is
Explanation of Solution
Given:
The mass of aluminium calorimeter is
The mass of water is
The mass of ice piece is
Formula used:
The expression for the energy available to melt the ice is given as,
The expression for the energy required to warm and melt the ice is given as,
Here,
The expression for the law of conservation of energy is given as,
Calculation:
The energy available to melt the ice is calculated as,
The energy required to warm and melt the ice is calculated as,
By the law of conservation of energy, the final temperature is calculated as,
Conclusion:
Therefore, the final temperature of the system is
(b)
The ice left in the system after reaches the equilibrium state.
(b)
Answer to Problem 41P
The ice left in the system after reaches the equilibrium state is
Explanation of Solution
Given:
The mass of ice piece is
Formula used:
The expression for the mass of ice is given as,
The value of
The value of
Calculation:
The value of
The value of
The remaining mass of ice is calculated as
Conclusion:
Therefore, the ice left in the system after reaches the equilibrium state is
(c)
The change if both pieces of ice were mix at the same time.
(c)
Explanation of Solution
Introduction:
Two bodies are said to be in thermal equilibrium if they are in a close connection that permits either to obtain energy from the other. Still, nevertheless, no net energy is transferred between them. During the process of reaching thermal equilibrium, heat, which is a form of energy, is transferred between the objects.
If both pieces of ice were mix at the same time, then there is no change as the initial and final conditions in equilibrium state are identical.
Conclusion:
Therefore, there is no change at the time of mixing of both ice pieces.
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Chapter 18 Solutions
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