Question

Carbon disulfide is an important industrial solvent. It is prepared by the reaction of carbon (called coke) with sulfur dioxide. Carbon monoxide is also produced (as a byproduct) of this reaction. (a) Write the equation that correctly demonstrates this reaction and balance it. (b) How many moles of carbon are needed to produce 45.90 moles of carbon disulfide?

Answer 1

A. The balanced equation is given below:

5C + 2SO2 —> CS2 + 4CO

B. 229.5 moles of carbon.

Step-by-step explanation:

A. Step 1:

The equation for the reaction is given below:

C + SO2 —> CS2 + CO

A. Step 2:

Balancing the equation.

The above equation can be balanced as follow:

There are 2 atoms of S on the right side and 1 atom on the left side. It can be balance by putting 2 in front of SO2 as shown below:

C + 2SO2 —> CS2 + CO

There are 4 atoms of O on the left side and 1 on the right. It can be balance by putting 4 in front of CO as shown below:

C + 2SO2 —> CS2 + 4CO

There are a total of 5 atoms of C on the right side and 1 atom on the left. It can be balance by putting 5 in front of C as shown below:

5C + 2SO2 —> CS2 + 4CO

Now the equation is balanced

B. Determination of the number of moles of carbon needed to produce 45.90 moles of carbon disulfide.

This is illustrated below:

5C + 2SO2 —> CS2 + 4CO

From the balanced equation above,

5 moles of C produced 1 mole of CS2.

Therefore, Xmol of C will produce 45.90 moles of CS2 i.e

Xmol of C = 5 x 45.90

Xmol of C = 229.5 moles

229.5 moles of carbon is needed to produce 45.90 moles of carbon disulfide.