Interpretation:
The heat released when steam is converted into ice is to be calculated.
Concept Introduction:
Phase change is the process by which ice is converted into steam. Each phase change occurs at a constant temperature along with a change in energy. This change in energy is called the heat of that process,
The heat absorbed or released by a substance is calculated by the following equation:
Here,
The expression to calculate the value of
Here
Substitute (2) in (1)
Answer to Problem 38QP
Solution:
The heat released in the process of converting steam to ice is
Explanation of Solution
Given Information: Mass of steam is
specific heat of ice is
the specific heat of water is
Calculate the heat lost on cooling steam from
Using equation (3) to calculate the heat required to cool the temperature of ice from
Substitute
Calculate the heat lost to condense steam to water by multiplying the molar heat of condensation by the number of moles,
Using equation (3) to calculate the heat required to cool the temperature of water from
Substitute
Now, calculate the heat lost on the freezing of water by multiplying the molar heat of freezing by the number of moles.
Using equation (3) to calculate the heat required to cool the temperature of ice from
Substitute
Calculate the total heat released in the entire process by adding the heats lost for the individual steps as follows.
The total heat released in the process is
The total heat released in the process is
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