Answer each of the following questions using the equation provided. BE SURE TO BALANCE EACH EQUATION BEFORE SOLVING ANY PROBLEMS. SHOW ALL WORK. 1. ___Cu + ___O2 ___CuO a. If 101 grams of copper is used, how many moles of copper (II) oxide will be formed? b. If 5.25 moles of copper are used, how many moles of oxygen must also be used? c. If 78.2 grams of oxygen react with copper, how many moles of copper (II) oxide will be produced?

Respuesta :

Answer

1. 2 Cu + 1 O₂ 2 CuO

a. 1.59 moles CuO

b. 2.625 moles O₂

c. 4.88 moles CuO

Explanation

(1) The balanced equation will be

2 Cu + 1 O₂ 2 CuO

(a) If 101 grams of copper is used, how many moles of copper (II) oxide will be formed?

From the reaction;

2 moles Cu produced 2 moles CuO

Molar mass of Cu = 63.546 g/mol

Molar mass of CuO = 79.545 g/mol

That implies;

(2 mol x 63.546 g/mol) = 127.092 g Cu produced (2 mol x 79.545 g/mol) = 159.09 g CuO

Therefore, 101 g Cu will produce

[tex]\frac{101g\text{ }Cu}{127.092g\text{ }Cu}\times159.09g\text{ }CuO=126.43g\text{ }CuO[/tex]

Therefore the mole of CuO produced = 126.43/79.545 = 1.59 moles

(b) If 5.25 moles of copper are used, how many moles of oxygen must also be used?

From the reaction;

2 moles Cu react with 1 mole O2

Therefore, 5.25 moles Cu will react with

[tex]\frac{5.25\text{ }mol\text{ }Cu}{2\text{ }mol\text{ }Cu}\times1\text{ }mol\text{ }O_2=2.625\text{ }mol\text{ }O_2[/tex]

Hence, 2.625 moles of oxygen must be used.

(c) If 78.2 grams of oxygen react with copper, how many moles of copper (II) oxide will be produced?

First, convert 78.2 grams of oxygen to moles using the mole formula.

[tex]Mole=\frac{Mass}{Molar\text{ }mass}[/tex]

Molar mass of O₂ = 31.998 g/mol

So,

[tex]Mole=\frac{78.2g}{31.998g\text{/}mol}=2.44\text{ }mol\text{ }O_2[/tex]

The final step is to use the mole ratio in the balanced equation to determine the mole of CuO that will be produced.

From the equation;

1 mole of O₂ produces 2 moles of CuO

2.44 moles O2 will now produce (2.44 moles x 2) = 4.88 moles of CuO

Therefore, 4.88 moles of CuO will be produced