   # Which of the following processes requires the largest input of energy as heat? (a) raising the temperature of 100 g of water by 1.0 °C (b) vaporization of 0.10 g of water at 100 °C (c) melting 1.0 g of ice at 0 °C (d) warming 1.0 g of ice from −50 °C to 0 °C (specific heat of ice = 2.06 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 5.3, Problem 1RC
Textbook Problem
311 views

## Which of the following processes requires the largest input of energy as heat? (a) raising the temperature of 100 g of water by 1.0 °C (b) vaporization of 0.10 g of water at 100 °C (c) melting 1.0 g of ice at 0 °C (d) warming 1.0 g of ice from −50 °C to 0 °C (specific heat of ice = 2.06 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

Analyzing for statement (a)

Let us consider the heat energy equation

The heat capacity of chromium can be calculated as

q=C×m×ΔTΔT=1.00C=100gm=4.186Givenvalueare 100×4.186=418.6(or)418.6×1.0=4.186Jmol-1

Substitute for the above equation as

q=100×4.186J/g0C×1.00Cq=418.6J

Therefore, the correct statement is option (a).

Reasons for incorrect options:

Analyzing for statement (b)

q=n×ΔHvapn=0.10gq=mMW×ΔHvapq=0.118×40.67kJ/mol×1000=5.5×40670J/molq=2260C

Analyzing for statement (c)

q=n×ΔHfusionn=1.0gq=mMW×ΔHvapq=1

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