   # Which of the following processes requires the largest input of energy? (a) warming 2.0 g of copper by 10 °C (C cu = 0.385 J/g · K) (b) warming 4.0 g of lead by 10 °C (C pb = 0.127 J/g · K) (c) warming 3.0 g of silver by 10 °C (C Ag = 0236 J/g · K) ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 5.2, Problem 1RC
Textbook Problem
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## Which of the following processes requires the largest input of energy? (a) warming 2.0 g of copper by 10 °C (Ccu = 0.385 J/g · K) (b) warming 4.0 g of lead by 10 °C (Cpb = 0.127 J/g · K) (c) warming 3.0 g of silver by 10 °C (CAg = 0236 J/g · K)

Interpretation Introduction

Interpretation:

Given the three different statements which element has largest input energy, and correct energy should be identified.

Concept Introduction: Heat energy required to raise the temperature of 1g of substance by 1k.

Energy gained or lost can be calculated using the below equation.

q=C×m×ΔT

Where, q= energy gained or lost for a given mass of substance (m), C =specific heat capacity,

ΔT = change in temperature.

### Explanation of Solution

1. 1. Heat energy of copper metal

The heat capacity of chromium can be calculated as,

q=C×m×ΔTΔT=100m=2.0gGivenvalueare 2.0×0.385=0.77(or)0.77×10=7.7Jmol-1

Substitute for the above equation as

q=2.0×0.385J/g0C×100Cq=7.7J

The copper (Cu) has largest input energy when compare to other energies.

Therefore, the correct option is option (a).

1. 2. Heat energy of lead metal

The heat capacity of chromium can be calculated as

q=C×m×ΔTΔT=100m=4.0g4.0×0

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