   # It takes 585 J of energy to raise the temperature of 125.6 g mercury from 20.0°C to 53.5ºC. Calculate the specific heat capacity and the molar heat capacity of mercury. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 7, Problem 52E
Textbook Problem
1 views

## It takes 585 J of energy to raise the temperature of 125.6 g mercury from 20.0°C to 53.5ºC. Calculate the specific heat capacity and the molar heat capacity of mercury.

Interpretation Introduction

Interpretation:

The specific heat capacity and the molar heat capacity of mercury are to be calculated.

Concept Introduction:

The heat capacity C is defined as

C = heat absorbed/ temperature change

• The heat capacity of one gram of substance is called as a specific heat capacity.

Specific heat capacity =  Absorbed heat (J)/ Temperature change(c)×mass ofsubstance (g)... (1)

• The heat capacity of one mole of substance is called as a Molar heat capacity.

Molar heat capacity =Absorbed heat (J)/ Temperature change(c)×mole.... (2)

• Mole is the ratio of  weight of substance and molecular weight (g)

Mole = weight of substance (g)/molecular weight (g).... (3)

### Explanation of Solution

Explanation

To determine: Specific heat capacity of mercury

Absorbed heat is 585 J                                     Temperature change is (53.5-20) = 33.5C                                     Mass ofsubstance is 125 g                                         = 585 (J)/33.5 (c)×125 (g)                                         = 0.14 J/C. g

Substitute the absorbed heat, temperature change and mass of substance in to formula (1) we get the Specific heat capacity of mercury is 0.14 J/C. g

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