Question

Methane (ch4) is a greenhouse gas. how many hydrogen atoms are in 1.4 moles of methane?

Answer 1

The answer is:

There are 3.6 X 10^24 hydrogen atoms.

The explanation:

1.4 moles of methane will contain 1.4*Avogadro's number

                                       = 1.4*(6.02 X 10^23) =  8.4 X 10^23 methane molecules. But, since the formula for methane is CH4, there are 4 hydrogen atoms for each methane molecule. Thus, 1.4 moles of methane contain

4*(8.4 X 10^23) = 3.6 X 10^24 hydrogen atoms.

Answer 2

$\boxed{3.3724 \times {{10}^{24}}{\text{ atoms}}}$ of hydrogen are present in 1.4 moles of methane.

Further Explanation:

The measure of the amount of substance is known as mole. It is the mass of a substance that contains the same number of fundamental units as there are atoms in 12 g of carbon-12. These fundamental units can be either of atoms, molecules or formula units.

${\text{C}}{{\text{H}}_{\text{4}}}$ consists of one carbon atom and four hydrogen atoms. Both carbon and hydrogen are nonmetals. Carbon has four valence electrons whereas hydrogen has only one valence electron. So one carbon atom shares four of its electrons with four hydrogen atoms and therefore four covalent bonds exist between carbon and hydrogen in ${\text{C}}{{\text{H}}_{\text{4}}}$.

The number of molecules of methane can be calculated as follows:

 $\begin{aligned}{\text{Molecules of C}}{{\text{H}}_{\text{4}}} &= \left( {1.4{\text{ mol}}} \right)\left({\frac{{6.022 \times {{10}^{23}}{\text{ molecules}}}}{{1{\text{ mol}}}}} \right)\\&= 8.431 \times {10^{23}}{\text{ molecules}} \\ \end{aligned}$

One molecule of ${\text{C}}{{\text{H}}_{\text{4}}}$ has four hydrogen atoms. So the number of hydrogen atoms in $8.431 \times {10^{23}}{\text{ molecules}}$ of ${\text{C}}{{\text{H}}_{\text{4}}}$ can be calculated as follows:

 $\begin{aligned}{\text{Number of hydrogen atoms}}&= \left({\frac{{4{\text{ atoms}}}}{{1{\text{ molecule}}}}} \right)\left( {8.431 \times {{10}^{23}}{\text{ molecules}}} \right)\\&= 3.3724 \times {10^{24}}{\text{ atoms}}\\\end{aligned}$

So $3.3724 \times {10^{24}}{\text{ atoms}}$ of hydrogen are present in 1.4 moles of methane.

Learn more:

1. Calculate the moles of chlorine in 8 moles of carbon tetrachloride: https://brainly.com/question/3064603
2. Calculate the moles of ions in the solution: https://brainly.com/question/5950133

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Mole concept

Keywords: methane, hydrogen, carbon, mole, 12 g, carbon-12, hydrogen atoms, 4 atoms, 1.4 mol, CH4, nonmetals, covalent bonds,