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When 2.8 J of heat are added to 5.6 g of an unknown metal, its temperature rises by 3.9

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro ISBN: 9780321910295 34

Solution for problem 86P Chapter 3

Introductory Chemistry | 5th Edition

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Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

Introductory Chemistry | 5th Edition

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Problem 86P

Problem 86P

When 2.8 J of heat are added to 5.6 g of an unknown metal, its temperature rises by 3.9 °C. Are these data consistent with the metal being gold?

Step-by-Step Solution:
Step 1 of 3

Solution 86P

∆H = m Cp ∆T

Rearranging the above equation,

Cp= ∆H / (m ∆T)

Where

Cp = specific heat capacity

∆H = heat added = 2.8 J

m = mass = 5.6 g

∆T = 3.9 °C

Substituting the above values, the equation will be

Cp = 2.8 J / (5.6 g  3.9°C) = 0.128 J / g°C

Cp gold = 25.418 J / mole °C  (1 mole / 197g) = 0.129 J / g°C

So the results are consistent with gold

Step 2 of 3

Chapter 3, Problem 86P is Solved
Step 3 of 3

Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

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When 2.8 J of heat are added to 5.6 g of an unknown metal, its temperature rises by 3.9