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Chapter 24: Problem 19

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

Short Answer

Expert verified
The octane number of the mixture containing 35% heptane and 65% isooctane can be calculated using a weighted average formula: Octane number of the mixture = (0.35 脳 0) + (0.65 脳 100). The result is an octane number of 65 for the mixture.

Step by step solution

01

Write down the formula for calculating the octane number of the mixture

The octane number of the mixture can be calculated as a weighted average of the octane numbers of its components (heptane and isooctane), using their respective percentages as weights. The formula is: Octane number of the mixture = (percentage of heptane 脳 octane number of heptane) + (percentage of isooctane 脳 octane number of isooctane)]
02

Substitute the given percentages and octane numbers

Now, let's substitute the given values into the formula. As mentioned earlier, the octane numbers of pure heptane and isooctane are 0 and 100, respectively. The percentage of heptane and isooctane in the mixture are 35% and 65%, respectively. Octane number of the mixture = (0.35 脳 0) + (0.65 脳 100)
03

Calculate the octane number of the mixture

Now, we just need to do the calculations: Octane number of the mixture = (0) + (65) Octane number of the mixture = 65 So, the octane number of the mixture is 65.

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