   # The heat capacity of a bomb calorimeter was determined by burning 6.79 g methane (energy of combustion = − 802 kJ/mol CH 4 ) in the bomb. The temperature changed by 10.8ºC. a. What is the heat capacity of the bomb? b. A 12.6-g sample of acetylene, C 2 H 2 , produced a temperature increase of 16.9ºC in the same calorimeter. What is the energy of combustion of acetylene (in kJ/mol)? ### 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 65E
Textbook Problem
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## The heat capacity of a bomb calorimeter was determined by burning 6.79 g methane (energy of combustion = − 802 kJ/mol CH4) in the bomb. The temperature changed by 10.8ºC.a. What is the heat capacity of the bomb?b. A 12.6-g sample of acetylene, C2H2, produced a temperature increase of 16.9ºC in the same calorimeter. What is the energy of combustion of acetylene (in kJ/mol)?

a)

Interpretation Introduction

Interpretation: The heat capacity of the bomb calorimeter and combustion energy of acetylene should be determined.

Concept Introduction:

• Heat capacity :

The heat capacity C is defined as the ratio of heat absorbed and temperature change. It can be given by,

C = heat absorbed temperature change

• Require heat of an one gram of substance raise to its temperature by one degree Celsius is called specific heat capacity.

q = S×M×T......(3)

S is specific heat capacity (J/°C·g)

q is heat (J)

M is mass of sample (g)

Heat per mole is = weight of substance (g)×1 molemolecular weight (g) ×released heat (KJ)1mole......(4)

For the process no heat loss to the surroundings means then the heat is

(absorbed)S×M×ΔT =-S×M×ΔT(released)......(5)

### Explanation of Solution

Case 1:

Given:

Mass of methane is 6.79 g

Molecular weight of methane is 16.04 g

Energy released by methane is 802 kJ

temperature changed by 10.8 °C

Mass and molecular weight of methane, energy released by methane and temperature changed are recorded shown above

b)

Interpretation Introduction

Interpretation: The heat capacity of the bomb calorimeter and combustion energy of acetylene should be determined.

Concept Introduction:

• Heat capacity :

The heat capacity C is defined as the ratio of heat absorbed and temperature change. It can be given by,

C = heat absorbed temperature change

• Require heat of an one gram of substance raise to its temperature by one degree Celsius is called specific heat capacity.

q = S×M×T......(3)

S is specific heat capacity (J/°C·g)

q is heat (J)

M is mass of sample (g)

Heat per mole is = weight of substance (g)×1 molemolecular weight (g) ×released heat (KJ)1mole......(4)

For the process no heat loss to the surroundings means then the heat is

(absorbed)S×M×ΔT =-S×M×ΔT(released)......(5)

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