Chapter 10, Problem 71GQ

### 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

# Iron carbonyl can be made by the direct reaction of iron metal and carbon monoxide.Fe(s) + 5 CO(g) → Fe(CO)5(ℓ)What is the theoretical yield of Fe(CO)5 if 3.52 g of iron is treated with CO gas having a pressure of 732 mm Hg in a 5.50-L flask at 23 °C?

Interpretation Introduction

Interpretation:

The treatment of given amount of Fe with carbon monoxide under given temperature and pressure conditions the theoretical yield for the product formed should be determined.

Concept introduction:

Ideal gas Equation:

Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas.  Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained.  It is referred as ideal gas equation.

nTPV = RnTPPV = nRTwhere,n = molesofgasP = pressureT = temperatureR = gas constant

Under some conditions gases don not behave like ideal gas that is they deviate from their ideal gas properties.  At lower temperature and at high pressures the gas tends to deviate and behave like real gases.

Boyle’s Law:

At given constant temperature conditions the mass of given ideal gas in inversely proportional to its volume.

Charles’s Law:

At given constant pressure conditions the volume of ideal gas is directly proportional to the absolute temperature.

Two equal volumes of gases with same temperature and pressure conditions tend to have same number of molecules with it.

Explanation

Â Given,

Â FeÂ =Â 3.52Â gâ€Špressure,Â PÂ =â€Šâ€‰732Â mmÂ Hgâ€Šâ€Šâ€Šâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€Šâ€Šâ€Š732Â mmÂ Hgâ€Š760Â mmÂ Hgâ€Šâ€Šâ€Šâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€Šâ€Šâ€‰0.963atmtemperature,Â TÂ =Â 23oCâ€Šâ€Š=â€Šâ€Š273.15+23â€Šâ€Š=â€Šâ€Š296.15KFe(CO)5â€Šâ€Šâ€Š=â€Šâ€Š?VÂ =Â 5.50L

Â In order to calculate the theoretical yield for the given product first the balanced chemical reaction should be determined.

Â The balanced chemical reaction for the given reaction is as follows,

Â Fe+5COâ†’Fe(CO)5

Â moleâ€Šâ€ŠFeâ€Š=â€Šâ€Šgivenâ€Šâ€Šmassmolarâ€Šâ€Šmassâ€Šâ€Š=â€Š3.5255.845â€Šâ€Šâ€Š=â€Šâ€Š0

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