You want to prepare cold apple juice for your family. Unfortunately, you forgot to put the apple juice in the refrigerator, so you have 1.96 L of apple juice at room temperature: 22.1°C. You want to immediately cool it by adding ice cubes from your freezer to the juice, so that you end up with only liquid at 0°C to serve your family. You are not concerned with "watering down" the apple juice; your family will still enjoy it! The ice cubes are at temperature −17.8°C when taken from the freezer. After explaining this to a family member, she challenges you to determine exactly how much ice (in kg) you need to achieve your desired equilibrium temperature. Assume that the specific heat of apple juice is 4186 J/kg · °C, the specific heat of ice is 2090 J/kg · °C and the density of apple juice is 1,000 kg/m3.
You want to prepare cold apple juice for your family. Unfortunately, you forgot to put the apple juice in the refrigerator, so you have 1.96 L of apple juice at room temperature: 22.1°C. You want to immediately cool it by adding ice cubes from your freezer to the juice, so that you end up with only liquid at 0°C to serve your family. You are not concerned with "watering down" the apple juice; your family will still enjoy it! The ice cubes are at temperature −17.8°C when taken from the freezer. After explaining this to a family member, she challenges you to determine exactly how much ice (in kg) you need to achieve your desired equilibrium temperature. Assume that the specific heat of apple juice is 4186 J/kg · °C, the specific heat of ice is 2090 J/kg · °C and the density of apple juice is 1,000 kg/m3.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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You want to prepare cold apple juice for your family. Unfortunately, you forgot to put the apple juice in the refrigerator, so you have 1.96 L of apple juice at room temperature: 22.1°C. You want to immediately cool it by adding ice cubes from your freezer to the juice, so that you end up with only liquid at 0°C to serve your family. You are not concerned with "watering down" the apple juice; your family will still enjoy it! The ice cubes are at temperature −17.8°C when taken from the freezer. After explaining this to a family member, she challenges you to determine exactly how much ice (in kg) you need to achieve your desired equilibrium temperature. Assume that the specific heat of apple juice is 4186 J/kg · °C, the specific heat of ice is 2090 J/kg · °C and the density of apple juice is 1,000 kg/m3.
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