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Solved: The evaporation of water is endothermic: What minimum mass of water (in g) has

Chapter 8, Problem 76P

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QUESTION:

The evaporation of water is endothermic:

\(\mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \quad \Delta H_{n m}=+44.01 \mathrm{~kJ}\)

What minimum mass of water (in g) has to evaporate to absorb \(175 kJ\) of heat?

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QUESTION:

The evaporation of water is endothermic:

\(\mathrm{H}_{2} \mathrm{O}(l) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \quad \Delta H_{n m}=+44.01 \mathrm{~kJ}\)

What minimum mass of water (in g) has to evaporate to absorb \(175 kJ\) of heat?

ANSWER:

Step 1 of 2

The given Chemical reaction is

\(\begin{array}{l}\mathrm{H}_2\mathrm{O}(\mathrm{l})\ \rightarrow\mathrm{\ H}_2\mathrm{O}(\mathrm{g})\\ \Delta\mathrm{H}_{\mathrm{rxn}}=+44.01\mathrm{\ kJ}\end{array}\)

We have to determine the amount of \(\mathrm{H}_{2} \mathrm{O}\).

We are given that

\(\begin{array}{l}\Delta\mathrm{H}=175\mathrm{\ kJ}\\ M\left(\mathrm{H}_2\mathrm{O}\right)=18\frac{\mathrm{g}}{\mathrm{mol}}\end{array}\)

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