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Water is poured into an insulating container. The water has mass m, = 1.2 kg and an initial temperature of 20 °C. Next, a warm piece of aluminum and a warmer piece of copper are dropped into the water. The aluminum has mass ma = 0.4 kg and an initial temperature of 75 °C. The copper has mass m. = 0.1 kg and an initial temperature of 95 °C. After a few minutes, the aluminum and copper will cool down, while the water will heat up. Calculate the final equilibrium temperature of the water-aluminum-copper system. Assume no heat is exchanged with the container or the environment. Hint: Let Qw, Qa, and Qc be the energies transferred into water, aluminum, and copper respectively. Conservation of energy implies Qw + Qa + Qc = 0. In thermodynamics the convention is that energy transferred into a system is considered positive heat.

Water is poured into an insulating container. The water has mass m, = 1.2 kg and an initial temperature of 20 °C. Next, a warm piece of aluminum and a warmer piece of copper are dropped into the water. The aluminum has mass ma = 0.4 kg and an initial temperature of 75 °C. The copper has mass m. = 0.1 kg and an initial temperature of 95 °C. After a few minutes, the aluminum and copper will cool down, while the water will heat up. Calculate the final equilibrium temperature of the water-aluminum-copper system. Assume no heat is exchanged with the container or the environment. Hint: Let Qw, Qa, and Qc be the energies transferred into water, aluminum, and copper respectively. Conservation of energy implies Qw + Qa + Qc = 0. In thermodynamics the convention is that energy transferred into a system is considered positive heat.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Answer: 24.187 °C

Water is poured into an insulating container. The water has mass m, = 1.2 kg and an initial temperature of 20 °C. Next, a warm piece of aluminum and a warmer piece of copper are dropped into the water. The aluminum has mass ma = 0.4 kg and an initial temperature of 75 °C. The copper has mass m. = 0.1 kg and an initial temperature of 95 °C. After a few minutes, the aluminum and copper will cool down, while the water will heat up. Calculate the final equilibrium temperature of the water-aluminum-copper system. Assume no heat is exchanged with the container or the environment. Hint: Let Qw. Qa, and Qc be the energies transferred into water, aluminum, and copper respectively. Conservation of energy implies Qw + Qa + Qc = 0. In thermodynamics the convention is that energy transferred into a system is considered positive heat.
Transcribed Image Text:Water is poured into an insulating container. The water has mass m, = 1.2 kg and an initial temperature of 20 °C. Next, a warm piece of aluminum and a warmer piece of copper are dropped into the water. The aluminum has mass ma = 0.4 kg and an initial temperature of 75 °C. The copper has mass m. = 0.1 kg and an initial temperature of 95 °C. After a few minutes, the aluminum and copper will cool down, while the water will heat up. Calculate the final equilibrium temperature of the water-aluminum-copper system. Assume no heat is exchanged with the container or the environment. Hint: Let Qw. Qa, and Qc be the energies transferred into water, aluminum, and copper respectively. Conservation of energy implies Qw + Qa + Qc = 0. In thermodynamics the convention is that energy transferred into a system is considered positive heat.
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