To rank the final temperature of water after adding different containers.
Answer to Problem 44Q
The final temperature of water according to different added container is ranked from largest to smallest temperature.
Explanation of Solution
Container A:
Given info:
The mass of water is
The temperature of water is
The mass of the container A is
The specific heat value for copper is
The specific heat value for water is
Formula used:
Formula to find the Final equilibrium temperature:
As amount of heat lost by copper is equal to the amount of heat gained by water,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
After simplifying we get,
Container B:
Given info:
The mass of water is
The temperature of water is
The mass of the container B is
The specific heat value for copper is
The specific heat value for water is
Formula used:
Formula to find the Final equilibrium temperature:
As amount of heat lost by copper is equal to the amount of heat gained by water,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
After simplifying we get,
Container C:
Given info:
The mass of water is
The temperature of water is
The mass of the container C is
The specific heat value for copper is
The specific heat value for water is
Formula used:
Formula to find the Final equilibrium temperature:
As amount of heat lost by copper is equal to the amount of heat gained by water,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
After simplifying we get,
Container D:
Given info:
The mass of water is
The temperature of water is
The mass of the container D is
The specific heat value for copper is
The specific heat value for water is
Formula used:
Formula to find the Final equilibrium temperature:
As amount of heat lost by copper is equal to the amount of heat gained by water,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
After simplifying we get,
Container E:
Given info:
The mass of water is
The temperature of water is
The mass of the container E is
The specific heat value for copper is
The specific heat value for water is
Formula used:
Formula to find the Final equilibrium temperature:
As amount of heat lost by copper is equal to the amount of heat gained by water,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
After simplifying we get,
Container F:
Given info:
The mass of water is
The temperature of water is
The mass of the container F is
The specific heat value for copper is
The specific heat value for water is
Formula used:
Formula to find the Final equilibrium temperature:
As amount of heat lost by copper is equal to the amount of heat gained by water,
Here,
Calculation:
Substitute the given values to find the final equilibrium temperature,
After simplifying we get,
After calculation the final temperature of water according to different added container is ranked from largest to smallest temperature as,
Conclusion:
Thus, the final temperature of water is ranked from largest to smallest temperature as,
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