Question

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

Short answer

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

Step-by-step solution

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 = \(0.65\)

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

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.