   Chapter 21, Problem 95GQ

Chapter
Section
Textbook Problem

Worldwide production of silicon carbide, SiC, is several hundred thousand tons annually. If you want to produce 1.0 × 105 metric tons of SiC, what mass (metric tons) of silicon sand (SiO2) will you use if 70% of the sand is converted to SiC? (A metric ton is exactly 1000 kg.)

Interpretation Introduction

Interpretation:

To calculate the mass of SiO2 used when 70% of SiO2 is converted into SiC.

Concept introduction:

Silicon dioxide reacts with carbon to produce SiC and carbon monoxide. The reaction is an redox reaction. The balanced chemical equation of silicon dioxide with water is written as,

SiO2(s)+3C(s)SiC(s)+2CO(g)

Explanation

The mass of SiO2 used when 70% of SiO2 is converted into SiC is calculated below.

Given:

The mass of SiC is 1×108kg.

The 70% of mass of SiO2 is converted into SiC. This means 70% of mass of SiO2 is equal to the mass of SiC.

Suppose the mass of SiO2 is m. Then, the mass m is calculated as,

(0

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