Question

Consider the reaction CH4 + 2 O2 → CO2 + 2 H2O Exactly 14.5 moles of CO2 are produced upon reaction of 34.6 moles of O2 and how many moles of CH4?

1. 65.2 moles
2. 14.5 moles
3. 34.5 moles
4. 29.0 moles
5. 16.3 moles
6. 17.3 moles

Answer 1

To produce exactly 14.5 moles of CO2 from the reaction of methane with oxygen, 14.5 moles of CH4 are required according to the balanced chemical equation.

Step-by-step explanation:

When solving a stoichiometry problem, such as determining how many moles of CH4 are needed to produce a certain amount of CO2, it's important to start with the balanced chemical equation: CH4 + 2 O2 → CO2 + 2 H2O. According to the stoichiometry of the reaction, 1 mole of methane reacts with 2 moles of oxygen to produce 1 mole of carbon dioxide. Thus, to produce 14.5 moles of CO2, you would need 14.5 moles of CH4, since they react on a 1:1 molar basis.

Answer 2

2) 14.5 moles

Step-by-step explanation:

The balanced chemical reaction for the
`CO_(2)` formation is:

`CH_(4)+2O_(2)=CO_(2)+2H_(2)O`

If 14.5 moles of
`CO_(2)` are produced, is needed to use the stoichiometry of the chemical reaction to calculate how many moles of
`CH_(4)` reacted to form this quantity:

`14.5molesCO_(2)*(1molCH_(4))/(1molCO_(2))=14.5molesCH_(4)`

Therefore 14.5 moles of
`CO_(2)` are produced by 14.5 moles of
`CH_(4)`