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We would like to know instead how much of the drink must evaporate for it to reach the drinkable temperature (we want to solve for the ?nal number particles Nf or moles nf).
1. Write an expression for ΔU = Uf - Ui- in terms of Ti, Tf, Ni, and Nf) {or better moles, Ni and Nf) [Hintz it is best to plug values a bit later in the process. Only write down the expression here]
2. Just like before write now an expression for the amount of energy carried away by the evaporating molecules (in terms of the heat of vaporization, Ni, and Nf). How does this energy relate to the change of energy ΔU of the remaining liquid? (Hint: pay special attention to the signs of each energy change).
Use the two expressions for ΔU (with the correct signs) to ?nd Nf.
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