Determine the mass percent \(H\) in the hydrocarbon isooctane, \(\mathrm{C}\left(\mathrm{CH}_{3}\right)_{3} \mathrm{CH}_{2} \mathrm{CH}\left(\mathrm{CH}_{3}\right)_{2}\)

Short Answer

Expert verified
The mass percent of Hydrogen (H) in the hydrocarbon isooctane is approximately 15.88%.

Step by step solution

01

Determine the composition of isooctane

First, dissect the given compound formula \(C(CH_{3})_{3}CH_{2}CH(CH_{3})_{2}\). Isooctane contains 8 Carbon (C) atoms, 18 Hydrogen (H) atoms.
02

Calculate the molar mass of Hydrogen and Carbon

Use the atomic masses from the periodic table to find the molar masses. For Carbon (C), it is 12.01 g/mol and for Hydrogen (H), it is 1.008 g/mol.
03

Calculate the total molar mass of isooctane

We must calculate the total molar mass of the compound. Multiply the molar mass of Carbon by 8 and add the product of the molar mass of Hydrogen and 18. The result is 114.22 g/mol.
04

Calculate the total molar mass of Hydrogen in isooctane

Multiply the molar mass of Hydrogen by 18 to find the total molar mass contributed by Hydrogen. The result is 18.144 g/mol.
05

Calculate the mass percent of Hydrogen

To calculate the mass percent of Hydrogen, divide the total molar mass of Hydrogen by the total molar mass of isooctane and multiply by 100. The result is approximately 15.88%.

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