Question

What is the number of $H$ atoms in $0.183mole\,{C_6}{H_{14}}O$ ?

Answer 1

Hint: In order to this question, to know the number of $H$ atoms in $0.183mole\,{C_6}{H_{14}}O$ , we will first find the number of $H$ atoms in one mole of given compound. And then go for the final step.

Complete answer:
One mole of ${C_6}{H_{14}}O$ contains $14moles$ of hydrogen atoms. This can be written as:
$\dfrac{{14mol\,H\,atoms}}{{1mol\,{C_6}{H_{14}}O}}$ .
To determine how many moles of hydrogen are contained in $0.183mole\,{C_6}{H_{14}}O$ , multiply $0.183mole\,{C_6}{H_{14}}O$ times \[14{\text{ }}moles{\text{ }}of{\text{ }}H{\text{ }}atoms{\text{ }}per{\text{ }}1{\text{ }}mole{\text{ }}of\;{C_6}{H_{14}}O\] . Then multiply times \[6.022 \times {10^{23}}atoms{\text{ }}H\] .
$\begin{gathered}
  \therefore 0.183mol\,{C_6}{H_{14}}O \times \dfrac{{14mol\,H\,atoms}}{{1mol\,{C_6}{H_{14}}O}} \times \dfrac{{6.022 \times {{10}^{23}}\,H\,atoms}}{{1mol\,H\,atoms}} \\
   = 1.54 \times {10^{24}}\,H\,atoms \\
\end{gathered} $
There are $1.54 \times {10^{24}}\,H\,atoms$ in $0.183mole\,{C_6}{H_{14}}O$ .

Note:
Hydrogen’s tendency to rise quickly, a hydrogen leak indoors would briefly collect on the ceiling and eventually move toward the corners. For that and other reasons, industry often uses hydrogen sensors to help detect hydrogen leaks and has maintained a high safety record using them for decades.