Chapter 5.8, Problem 1.2ACP

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# The enthalpy of reaction of guncotton depends on the degree of nitration of the cellulose. For a particular sample, when 0.725 g of guncotton is decomposed in a bomb calorimeter, the temperature of the system increases by 1.32 K. Assuming the bomb has a heat capacity of 691 J/K and the calorimeter contains 1.200 kg of water, what is the energy of reaction per gram of guncotton?

Interpretation Introduction

Interpretation:

The energy of the reaction per gram of guncotton has to be calculated.

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

Given,

Mass of guncotton is 0.725â€‰g

Amount of water in calorimeter is 1.2â€‰kg

The change in the temperature is 1.32â€‰K

Specific heat capacity of water is 4.184â€‰Jg.KÂ

Substitute in equation q=CÃ—mÃ—Î”T, as

The energy produced is qâ€‰=â€‰CÃ—mÃ—Î”Tâ€‰+â€‰heatâ€‰capacityâ€‰ofÂ bombâ€‰Ã—Î”Tâ€‰

â€‚Â q=-[4.184J/g.Kâ€‰Ã—â€‰1.200â€‰Ã—â€‰103â€‰gÃ—â€‰1

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