Question

Coke is an impure form of carbon that is often used in the in- dustrial production of metals from their oxides. If a sample of coke is 95% carbon by mass, determine the mass of coke needed to react completely with 1.0 ton of copper(II) oxide.

Answer 1

The mass of coke needed to react completely with 1.0 ton of copper(II) oxide is 0.794 Ton.

Step-by-step explanation:

`2CuO+C\rightarrow 2Cu+CO_2`

1 Ton = 907185 grams

Mass of copper oxide = 1.0 Ton = 907185 grams

Moles of copper oxide =
`(907185 g)/(79.55 g/mol)=11,403.95 moles`

According to reaction, 2 moles of copper oxide reacts with 1 mole of carbon.

Then 11403.95 moles of copper oxide will react with:

`(1)/(2)* 11403.95 mol=5,701.98 mol` of carbon

Mass of 5,701.98 moles of carbon:

`5,701.98 mol* 12 g/mol=68,423.75 g`

Mass of coke = x

Mass of carbon = 68,423.75 g

Percentage of carbon in coke = 95%

`95\%=(68,423.75 g)/(x)* 100`

`x=720,250.09 g=0.794 Ton`

The mass of coke needed to react completely with 1.0 ton of copper(II) oxide is 0.794 Ton.