Concept explainers
Water at 50°C can be obtained by mixing together which one or more of the following? Which of the others would have final temperatures higher than 50°C and which lower than 50°C?
- a. 1 kg of ice at 0°C and 1 kg of steam at 100°C
- b. 1 kg of ice at 0°C and 1 kg of water at 100°C
- c. 1 kg of water at 0°C and 1 kg of steam at 100°C
- d. 1 kg of water at 0°C and 1 kg of water at 100°C
(a)

Whether mixing of given samples will result water having temperature equal to
Answer to Problem 87E
The mixing
Explanation of Solution
Given info: The samples are
Write the expression for the heat energy absorbed when ice at
Here,
Substitute
Write the expression for the heat energy liberated when the steam becomes water at the boiling point of water.
Here,
Substitute
Thus the
Write the expression for the heat energy gained while increasing the temperature of a substance.
Here,
In the mixing process, the total heat gained by the ice will be equal to the total heat lost by the steam.
Solve for
Substitute
Conclusion:
Therefore, the mixing
(b)

Whether mixing of given samples will result water having temperature equal to
Answer to Problem 87E
The mixing
Explanation of Solution
Given info: The samples are
In the mixing process, the heat gained by the ice will be equal to the heat lost by the water.
Solve for
Substitute
Conclusion:
Therefore, the mixing
(c)

Whether mixing of given samples will result water having temperature equal to
Answer to Problem 87E
The mixing
Explanation of Solution
Given info: The samples are
In the mixing process, the heat gained by the water will be equal to the heat lost by the steam.
Solve for
Substitute
Conclusion:
Therefore, the mixing
(d)s

Whether mixing of given samples will result water having temperature equal to
Answer to Problem 87E
Mixing of
Explanation of Solution
Given info: The samples are
In the mixing process, the heat gained by the water will be equal to the heat lost by the steam.
Solve for
Substitute
Conclusion:
Therefore, mixing of
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