Question 2.SP.10: Using Heat of Vaporization In a sauna, 122 g of water is con......
Using Heat of Vaporization In a sauna, 122 g of water is converted to steam at 100 °C. How many kilojoules of heat are needed?
Step-by-Step
Step 1 List the grams of substance and change of state.
Given 122 g of \mathrm{H}_{2}\mathrm{O}(l)\mathrm{\,to\,H}_{2}\mathrm{O}(g)
Need kilojoules of heat to change state
Step 2 Write the plan to convert grams to heat and desired unit.
\begin{matrix}\text{grams of water}&\underset{\large{\small{\text{vaporization}}}}{\text{Heat of}} & \text{calories} & \underset{\large{\small{\text{factor}}}}{\text{Metric}} & \text{kilocalories}\end{matrix}
Step 3 Write the heat conversion factor and metric factor if needed.
\begin{matrix}1 g of H_2O(l \to g)=2260 \,\mathrm{J}&& 1 kJ = 1000 J \\ \\ \frac{2260 J}{1 g H_{2}O } and \frac{1 g H_{2}O }{2260 J} && \frac{1000 J}{1 kJ} and \frac{1 kJ}{1000 J} \end{matrix}
Step 4 Set up the problem with factors.
112 \cancel{g H_{2}O}\times \frac{2260 \cancel{J}}{1 \cancel{g H_{2}O}}\times \frac{1 kJ}{1000 \cancel{J}}=276 kJRelated Answered Questions
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