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Chapter 25: Problem 29

What is the octane number of a mixture of \(35 \%\) heptane and \(65 \%\) isooctane?

Short Answer

Expert verified
The octane number of a mixture of 35% heptane and 65% isooctane is 65.

Step by step solution

01

Convert percentages to decimals

In order to calculate the weighted average, we need to convert the percentages to decimals. To do this, divide each percentage by 100. 35% heptane = \(0.35\) 65% isooctane = \(0.65\)
02

Multiply octane numbers with percentages

Next, we will multiply each fuel's octane number by its corresponding decimal percentage. Heptane: Octane number (0) x decimal percentage (0.35) = 0 Isooctane: Octane number (100) x decimal percentage (0.65) = 65
03

Calculate the octane number of the mixture

Finally, we will sum the products obtained in step 2 to get the octane number of the mixture. Octane number of the mixture = Heptane product + Isooctane product = 0 + 65 = 65 So, the octane number of a mixture of 35% heptane and 65% isooctane is 65.

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