A laboratory technician drops a 0.085 kg sample of some unknown solid, at a temperature of 100.0°C, into a calorimeter. The calorimeter can is initially at 19°C and is constructed out of 0.15 kg of copper and contains 0.200 kg of water. The final temperature of the calorimeter can and its contents (water and sample) is 26.1 °C. What is the specific heat of the sample?

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 7P: An aluminum calorimeter with a mass of 100 g contains 250 g of water. The calorimeter and water are...
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 A laboratory technician drops a 0.085 kg sample of some unknown solid, at a
temperature of 100.0°C, into a calorimeter. The calorimeter can is initially at
19°C and is constructed out of 0.15 kg of copper and contains 0.200 kg of
water. The final temperature of the calorimeter can and its contents (water
and sample) is 26.1 °C. What is the specific heat of the sample?

Hint: This seems significantly harder than the previous question, with the
addition of a third substance, but it’s not THAT different. Namely, the first step
is to realize that since the copper and water are already at equilibrium with
each other, the heat transfer is between the unknown substance and “copper
+water”. So Qh=-Qc becomes Qunknown= -(Qcopper + Qwater), all variables are given
except the specific heat of “unknown” so plug in the values and solve for the
specific heat.


 

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