You are thinking ahead to spring when one of your friends is having an outdoor wedding. Your plan is to design the perfect lemonade for the event. The problem with lemonade is that you make it in room temperature and then add ice to cool it to a pleasant 10 oC. Usually, the ice melts diluting the lemonade too much. To help you solve this problem, you look up the specific heat capacity of water (1.0 cal/g oC), the specific heat capacity of ice (0.5 cal/g oC), and the latent heat of fusion of water (80 cal/g). You assume that the specific heat capacity of lemonade is the same as water. Since you will cool your lemonade in a Thermos jug, assume no heat is added to the lemonade from the environment. Using that information, you calculate how much water you get from all the ice melting if you make 6 quarts (5.6 kg) of lemonade at room temperature (23 oC) and add ice which comes straight from the freezer at -5.0 oC.

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 20.78AP
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You are thinking ahead to spring when one of your friends is having an outdoor wedding. Your plan is to design the perfect lemonade for the event. The problem with lemonade is that you make it in room temperature and then add ice to cool it to a pleasant 10 oC. Usually, the ice melts diluting the lemonade too much. To help you solve this problem, you look up the specific heat capacity of water (1.0 cal/g oC), the specific heat capacity of ice (0.5 cal/g oC), and the latent heat of fusion of water (80 cal/g). You assume that the specific heat capacity of lemonade is the same as water. Since you will cool your lemonade in a Thermos jug, assume no heat is added to the lemonade from the environment. Using that information, you calculate how much water you get from all the ice melting if you make 6 quarts (5.6 kg) of lemonade at room temperature (23 oC) and add ice which comes straight from the freezer at -5.0 oC.

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