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Chapter 19: Problem 53

a. Determine the percentage composition by weight of hexane, \(\mathrm{C}_{6} \mathrm{H}_{14}\) b. Using the charts to the right as a model, make a pie chart for hexane using a protractor to draw the correct sizes of the pie slices. (Hint: A circle has \(360^{\circ} .\) To draw the correct angle for each slice, multiply each percentage by \(360^{\circ} . )\)

Short Answer

Expert verified
The percentage composition by weight of carbon and hydrogen in hexane is \( 14.43 \% \approx 14.44 \% \) hydrogen and \( 85.56 \% \approx 85.56 \% \) carbon. The angles for hydrogen and carbon in the pie chart will be \( 51.61^{\circ} \) and \( 308.4^{\circ} \), respectively.

Step by step solution

01

Determine the Molecular Weight of Hexane

To start, calculate the molecular weight of hexane. The atomic weight of carbon (C) is approximately 12.01 amu and of hydrogen (H) is approximately 1.01 amu. Given that hexane has 6 C atoms and 14 H atoms, the formula will be: \( (6 * 12.01) + (14 * 1.01) \).
02

Determine the Percentage Composition by Weight

Now, calculate the percentage weight of each atom type. The formulas for carbon and hydrogen will be \( (Weight of carbon / Weight of molecule) * 100 \) and \( (Weight of hydrogen / Weight of molecule) * 100 \), respectively.
03

Calculating the Angles for the Pie Chart

Having gotten the percentage weight for carbon and hydrogen, you'll use this information to determine the angles for the pie chart. Multiply each percentage by \( 360^{\circ} \) to get the angle.
04

Drawing the Pie Chart

With the angles calculated, draw the pie chart. Each slice of the pie corresponds to either carbon or hydrogen atoms, with the size of the slice proportional to the angle calculated in the previous step.

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