Question

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Answer 1

Answer: The mass of carbon dioxide required is 308 g

Step-by-step explanation:

The number of moles is defined as the ratio of the mass of a substance to its molar mass.

The equation used is:

`\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}` ......(1)

Given mass of octane = 100.0 g

Molar mass of octane = 114.23 g/mol

Putting values in equation 1, we get:

`\text{Moles of octane}=(100.0g)/(114.23g/mol)=0.875mol`

For the given chemical reaction:

`2C_8H_(18)+25O_2\rightarrow 16CO_2+18H_2O`

By the stoichiometry of the reaction:

2 moles of octane produces 16 moles of carbon dioxide

So, 0.875 moles of octane will produce =
`(16)/(2)* 0.875=7mol` of carbon dioxide

Molar mass of carbon dioxide = 44 g/mol

Plugging values in equation 1:

`\text{Mass of carbon dioxide}=(7mol* 44g/mol)=308g`

Hence, the mass of carbon dioxide required is 308 g