Chapter 5, Problem 90GQ

### 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

# Water gas, a mixture of carbon monoxide and hydrogen, is produced by treating carbon (in the form of coke or coal) with steam at high temperatures. (See Study Question 83.)C(s) + H2O(g) → CO(g) + H2(g)Not all of the carbon available is converted to water gas since some is burned to provide the heat for the endothermic reaction of carbon and water. What mass of carbon must be burned (to CO2 gas) to provide the energy to convert 1.00 kg of carbon to water gas?

Interpretation Introduction

Interpretation:

The energy required to convert 1kg of carbon has to be calculated.

Concept Introduction:

The standard enthalpy of formation is the enthalpy change for the formation of 1mol of the compound directly from its component elements in their standard states.

Enthalpy change for the reaction ΔrH0ΣnΔfH0(products)-ΣnΔfH0(reactants)

Explanation

Given,

Mass1Kg

Î”fH0(C)â€‰=â€‰Â 0Â KJ/molÂ

Î”fH0(H2O)â€‰â€‰â€‰-241.8kJ/mol

Î”fH0(CO)â€‰â€‰â€‰-110.54kJ/mol

Î”fH0(H2)â€‰â€‰â€‰0J/mol

Using Hess law,

â€‚Â Î”rH0Î£nÎ”fH0(products)â€‰-â€‰Î£nÎ”fH0(reactants)

â€‚Â Î”rHÂ°Â =â€‰(-110

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