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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight
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10 g of aluminum at 200°C and 20 g of copper are dropped

Chapter 17, Problem 39P

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QUESTION:

Problem 39P

10 g of aluminum at 200°C and 20 g of copper are dropped into 50 cm3 of ethyl alcohol at 15°C. The temperature quickly comes to 25°C. What was the initial temperature of the copper?

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QUESTION:

Problem 39P

10 g of aluminum at 200°C and 20 g of copper are dropped into 50 cm3 of ethyl alcohol at 15°C. The temperature quickly comes to 25°C. What was the initial temperature of the copper?

ANSWER:

Step 1 of 2

We have to find the initial temperature of the copper, if 10 g of aluminum at 200°C and 20 g of copper are dropped into 50 cm3 of ethyl alcohol at 15°C and the temperature quickly comes to 25oC.

The aluminum, copper, and alcohol form a closed system, \(Q=Q_{A l}+Q_{c u}+Q_{E t h}=0\)  so

The mass of the alcohol is given by

\(M_{E t h}=\rho V\)

Where,

\(\rho=\text { density of alcohol }=790 \mathrm{~kg} / \mathrm{m}^{3}\)

\(V=50 \mathrm{~cm}^{3}=50 \times 10^{-6} \mathrm{~m}^{3}\)

Thus,

\(M_{\text {Eth }} =(790)\left(50 \times 10^{-6}\right)\)

\(=0.0395 \mathrm{~kg}\)

 

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