Given the equation 2H_2O ->2H_2 + O_22H2O2H2+O2, how many moles of H_2OH2O would be required to produce 2.5 moles of O_2O2?

1 Answer
May 16, 2016

55 moles of H_2OH2O

Explanation:

Since the chemical equation,

color(red)2H_2O->2H_2+color(blue)1O_22H2O2H2+1O2

requires a specific number of moles of the reactant, then a specific number of moles of the products are created.

With this knowledge, you can create a mole ratio.

The general format of a mole ratio is as follows:

color(blue)(|bar(ul(color(white)(a/a)color(black)(("required based on balanced equation")/("product based on balanced equation")=("required")/("product"))color(white)(a/a)|)))

In your case, you're looking for the moles of H_2O required to make 2.5 moles of O_2.

Thus, your mole ratio would be:

(color(red)2color(white)(i)molcolor(white)(i)H_2O)/(color(blue)1color(white)(i)molcolor(white)(i)O_2)=x/(2.5color(white)(i)molcolor(white)(i)O_2)

color(darkorange)(rArr)where x represents the moles of H_2O required

From this point on, your goal is to solve for x to find the moles of H_2O required to produce 2.5 moles of O_2.

x=2.5color(purple)cancelcolor(black)(molcolor(white)(i)O_2)xx(2color(white)(i)molcolor(white)(i)H_2O)/(1color(purple)cancelcolor(black)(molcolor(white)(i)O_2))

x=color(green)(|bar(ul(color(white)(a/a)5color(white)(i)molcolor(white)(i)H_2Ocolor(white)(a/a)|)))