Considering the definition of molar mass, 5 grams of hydrogen is contained in methane, which contains 15 grams of carbon.
Definition of molar mass
The molar mass of substance is a property defined as its mass per unit quantity of substance, in other words, molar mass is the amount of mass that a substance contains in one mole.
The molar mass of a compound (also called Mass or Molecular Weight) is the sum of the molar mass of the elements that form it (whose value is found in the periodic table) multiplied by the number of times they appear in the compound.
In this case, you know the molar mass of the elements is:
So, the molar mass of the compound CH₄ is calculated as:
CH₄= 12 g/mole + 4× 1 g/mole
Solving:
CH₄= 16 g/mole
In this case, from the above you can see that 1 mole of methane contains 4 grams of hydrogen.
In first place, you must know the moles de methane that contain 15 grams of carbon. For that, you can apply the following rule of three: If from the above you can see that 12 grams of carbon are contained in 1 mole of methane, 15 grams of carbon are contained in how many moles of methane?
[tex]moles of methane=\frac{15 grams of carbonx1 mole of methane}{12 grams of carbon}[/tex]
moles of methane= 1.25 moles
Next, you can apply the following rule of three: If 1 mole of methane contains 4 grams of hydrogen, 1.25 moles of methane contains how many moles of hydrogen?
[tex]mass of hydrogen= \frac{1.25 moles of methanex4 grams of hydrogen}{1 moles of methane}[/tex]
mass of hydrogen= 5 grams
Finally, 5 grams of hydrogen is contained in methane, which contains 15 grams of carbon.
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