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A major component of gasoline is octane C8H18. When liquid octane is burned in air it reacts with oxygen O2 gas to produce carbon dioxide gas and water vapor. Calculate the moles of oxygen needed to produce 1.20mol of water. Be sure your answer has a unit symbol, if necessary, and round it to 3 significant digits.

Question

A major component of gasoline is octane C8H18. When liquid octane is burned in air it reacts with oxygen O2 gas to produce carbon dioxide gas and water vapor. Calculate the moles of oxygen needed to produce 1.20mol of water. Be sure your answer has a unit symbol, if necessary, and round it to 3 significant digits.

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Solution

The balanced chemical equation for the combustion of octane is:

2C8H18 + 25O2 -> 16CO2 + 18H2O

From the balanced equation, we can see that 25 moles of oxygen are required to produce 18 moles of water.

Therefore, to find out how many moles of oxygen are needed to produce 1.20 moles of water, we can set up a proportion:

25 moles O2 / 18 moles H2O = x moles O2 / 1.20 moles H2O

Solving for x gives us:

x = (25/18) * 1.20 = 1.67 moles O2

So, 1.67 moles of oxygen are needed to produce 1.20 moles of water.

This problem has been solved

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