Question

Gaseous methane reacts with gaseous oxygen gas to produce gaseous carbon dioxide and gaseous water . What is the theoretical yield of carbon dioxide formed from the reaction of 0.64g of methane and 1.1 of oxygen gas?

Answer 1

The theoretical yield of Carbon dioxide : 0.544 g

Further explanation

Given

0.64 g Methane

1.1 g Oxygen gas

Required

The theoretical yield of Carbon dioxide

Solution

Reaction

CH₄ + 2O₂ → CO₂ + 2H₂O.

Find limiting reactant(mol : coefficient)

• mol CH₄ (MW=16 g/mol) :

= mass : MW

= 0.64 : 16

= 0.04

mol : coefficient = 0.04 : 1 = 0.04

• mol O₂ (MW=32 g/mol) :

= mass : MW

= 1.1 : 32

= 0.034

mol : coefficient = 0.034 : 2 = 0.017

O₂ as a limiting reactant(smaller)

Mol CO₂ based on mol O₂

From equation, mol ratio CO₂ : O₂ = 1 : 2 , so mol CO₂ :

= 1/2 x mol O₂

= 1/2 x 0.034

= 0.017

Mass O₂ :

= 0.017 x 32 g/mol

= 0.544 g