this is the chemical formula for methyl tert - butyl ether (the clean - fuel gasoline additive mtbe)…

this is the chemical formula for methyl tert - butyl ether (the clean - fuel gasoline additive mtbe): ch₃oc(ch₃)₃. a chemical engineer has determined by measurements that there are 9.6 moles of carbon in a sample of methyl tert - butyl ether. how many moles of hydrogen are in the sample? be sure your answer has the correct number of significant digits.
Answer
Explanation:
Step1: Determine C - H ratio
In the formula $CH_3OC(CH_3)_3$, the number of carbon atoms is 5 and the number of hydrogen atoms is 12. So the C - H ratio is 5:12.
Step2: Set up proportion
Let $x$ be the number of moles of hydrogen. We have the proportion $\frac{5}{12}=\frac{9.6}{x}$.
Step3: Solve for x
Cross - multiply: $5x = 12\times9.6$. Then $x=\frac{12\times9.6}{5}=23.04$.
Answer:
23.04 mol