Answer:
a) 13.2 moles [tex]2H_{2}O[/tex]
b) 79.33 grams of [tex]2H_{2}O[/tex]
Explanation:
First, we'll need to balance the equation
[tex]H_{2(g)} + O_{2(g)}[/tex] → [tex]H_{2}O_{(g)}[/tex]
There are 2 (O) on the left and only one on the right, so we'll add a 2 coefficient to the right.
[tex]H_{2(g)} + O_{2(g)}[/tex] → [tex]2H_{2}O_{(g)}[/tex]
Now there are 4 (H) on the right and only 2 on the left, so we'll add a 2 coefficient to the ([tex]H_{2}[/tex]) on the left.
[tex]2H_{2(g)} + O_{2(g)}[/tex] → [tex]2H_{2}O_{(g)}[/tex]
The equation is now balanced.
a) This can be solved with a simple mole ratio.
4.6 moles [tex]O_{2}[/tex] × [tex]\frac{2 moles H_{2}O}{1 mole O_{2}}[/tex] = 13.2 moles [tex]2H_{2}O[/tex]
b) This problem is solved the same way!
2.2 moles [tex]H_{2}[/tex] × [tex]\frac{2 moles H_{2}O}{2 moles H_{2}}[/tex] = 2.2 moles [tex]2H_{2}O[/tex]
However, this problem wants the mass of [tex]2H_{2}O[/tex], not the moles.
The molecular weight of [tex]2H_{2}O[/tex] is the weight of 4 (H) molecules and 2 (O) molecules (found on the periodic table). So,
4(1.008) + 2(15.999) = 36.03 g/mol
2.2 moles [tex]2H_{2}O[/tex] × [tex]\frac{36.03 g}{1 mol}[/tex] = 79.33 grams of [tex]2H_{2}O[/tex]