Question

How many grams of CO2 are produced if 12 liters of H2O are produced?

Answer 1

`14653.7181\text{ g }CO_2\text{ }`

Procedure

Considering the following balanced equation.

2CH₃OH + 3O₂ ---> 2CO₂ + 4H₂O

To determine the grams of CO₂ that will be produced, you will first need to get the grams of water produced, then convert the grams of water into moles of water and use the molar proportios to get the moles of CO₂. Lastly, convert the moles of CO₂ into grams.

Additional data:

Dnsity of water = 1 g H₂O=/ of H₂O

CO₂ molar mass = 44.01 g/mol

H₂O molar mass = 18.02 g/mol

Calculations

Convert to mass

`12L\text{ }H₂O\text{ }\frac{1kg\text{ }H_2O}{1L\text{ }H_2O}=12kg\text{ }H_2O`

Convert to moles

`12kg\text{ }H₂O\text{ }\frac{1000g\text{ }H_2O\text{ }}{1kg\text{ }H_2O}\frac{\text{ }1\text{ }mole\text{ }H_2O}{18.02g\text{ }H_2O}=665.9267\text{ }mole\text{ }H_2O`

Convert to moles of CO₂ using the relationship

`665.9267\text{ }mole\text{ }H_2O\frac{2moleCO_2}{4mole\text{ }H_2O}=332.9634\text{ }mole\text{ }CO_2`

Convert to grams of CO₂

`332.9634\text{ }mole\text{ }CO_2\text{ }\frac{44.01g\text{ }CO_2}{1\text{ }mole\text{ }CO_2}=14653.7181\text{ g }CO_2\text{ }`