   # Silane, SiH 4 , is the silicon analogue of methane, CH4. It is prepared industrially according to the following equations: Si ( s ) + 3HC1 ( g ) → HSiCl 3 ( l ) + H 2 ( g ) 4HSiCl 3 ( l ) → SiH 4 ( g ) + 3SiCl 4 ( l ) a. If 156 mL HSiCl 3 (d = 1.34 g/mL) is isolated when 15.0 L HC1 at 10.0 atm and 35°C is used, what is the percent yield of HSiCl 3 ? b. When 156 mL HSiCl 3 is heated, what volume of SiH 4 at 10.0 atm and 35°C will be obtained if the percent yield of the reaction is 93.1%? ### 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 8, Problem 166IP
Textbook Problem
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## Silane, SiH4, is the silicon analogue of methane, CH4. It is prepared industrially according to the following equations: Si ( s )   +  3HC1 ( g ) →  HSiCl 3 ( l )   +  H 2 ( g ) 4HSiCl 3 ( l )   →  SiH 4 ( g )   +  3SiCl 4 ( l ) a. If 156 mL HSiCl3 (d = 1.34 g/mL) is isolated when 15.0 L HC1 at 10.0 atm and 35°C is used, what is the percent yield of HSiCl3?b. When 156 mL HSiCl3 is heated, what volume of SiH4 at 10.0 atm and 35°C will be obtained if the percent yield of the reaction is 93.1%?

a)

Interpretation Introduction

Interpretation: The percent yield of HSiCl3 in the given reaction has to be calculated.

Concept introduction:

• Balance equation of a reaction is written according to law of conservation of mass.
• Number of moles of a substance, According to ideal gas equation,

Numberofmoles=Pressure×VolumeR×Temperature

• Equation for mass of a substance from its density and volume,

Mass=Density×Volume

• Percent yield of reaction is the ratio of mass of actual yield to the mass of theoretical yield.
• Mole ratios between the reactant and a product of a reaction are depends upon the coefficients of reactant and product in a balanced chemical equation.
• Mass of a substance produced from its number of moles is,

Number of moles×Molecularmass in grams=producedmass

• Number of moles of a substance from its given mass is,

Number of moles=GivenmassMolecularmass

• According to ideal gas equation for finding volume of a gas,

Volume=Numberofmoles×R×Temperaturepressure

To determine: the percent yield of HSiCl3 in the given reaction.

### Explanation of Solution

To find: the number of moles of HCl reacted in the given reaction.

The number of moles of HCl is 5.93mol .

The volume of HCl in the given reaction is given as 15L .

The pressure is given as 10atm .

The temperature is given as 35oC=(35+273)K=308K .

The equation for finding number of moles of a substance, According to ideal gas equation,

Numberofmoles=Pressure×VolumeR×Temperature

Therefore,

The number of moles of HCl is,

nHCl=15L×10atm0.08206Latm/Kmol×308K=5.93mol

Hence,

The number of moles of HCl is 5.93mol .

To find: the number of moles HSiCl3 in the given reaction.

The number of moles of HSiCl3 in the given reaction is 1.976mol .

The balanced chemical equation for the given reaction is,

Si+3HClHSiCl3+H2

Here,

The mole ratio between HSiCl3 and HCl is 1:3 .

The number of moles of HCl is 5.93mol , and then the number of moles HSiCl3 is,

5.93molHCl×1molHSiCl33molHCl=1.976molHSiCl3

Therefore,

Theoretical calculated number of moles of HSiCl3 in the given reaction is 1

b)

Interpretation Introduction

Interpretation: The volume of SiH4 obtained in the given reaction has to be calculated.

Concept introduction:

• Balance equation of a reaction is written according to law of conservation of mass.
• Number of moles of a substance, According to ideal gas equation,

Numberofmoles=Pressure×VolumeR×Temperature

• Equation for mass of a substance from its density and volume,

Mass=Density×Volume

• Percent yield of reaction is the ratio of mass of actual yield to the mass of theoretical yield.
• Mole ratios between the reactant and a product of a reaction are depends upon the coefficients of reactant and product in a balanced chemical equation.
• Mass of a substance produced from its number of moles is,

Number of moles×Molecularmass in grams=producedmass

• Number of moles of a substance from its given mass is,

Number of moles=GivenmassMolecularmass

• According to ideal gas equation for finding volume of a gas,

Volume=Numberofmoles×R×Temperaturepressure

To determine: the percent yield of HSiCl3 and the volume of SiH4 obtained in the given reaction.

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