# What is the molar mass of CH_4?

Mar 25, 2018

The molar mass should be $16.04 \setminus \text{g/mol}$.

#### Explanation:

To find the molar mass of any compound, we multiply all the elements inside the compound by its subscripts and their molar masses, which is their atomic mass, but in $\text{g/mol}$, as $1 \setminus \text{amu"=1 \ "g/mol}$.

And so,

${m}_{C {H}_{4}} = {m}_{C} + {m}_{{H}_{4}}$

$\implies {m}_{C {H}_{4}} = {m}_{C} + 4 {m}_{H}$

On the periodic table, carbon has a molar mass of $12.0107 \setminus \text{g/mol}$, while hydrogen has a molar mass of $1.00794 \setminus \text{g/mol}$.

Therefore, the molar mass is,

${m}_{C {H}_{4}} = \left(12.0107 + 4 \cdot 1.00794\right) \setminus \text{g/mol}$

$= 16.04246 \setminus \text{g/mol}$

$\approx 16.04 \setminus \text{g/mol}$