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KO2 + H2O → KOH + O2 + H2O2 (unbalanced)
left side:K = 1O = 2 + 1 (do not add this up yet)H = 2
right side:K = 1O = 1 + 2 + 2 (do not add this up yet)H = 1 + 2 (do not add this up yet)
Always remember that in balancing equations, you are not allowed to change the subscript, but you are allowed to put coefficients before the chemical formulas.
Let's start to balance the easiest atom, in this case the H atom. Since there are 2 H atoms on the left and 3 H atoms on the right (one coming from KOH and the other two coming from H2O2), you need to find a factor that you can multiply in either one of the substances to produce a desirable number to balance.
Since KOH is the simplest of the three substances with H atoms, we'll start the balancing there.
KO2 + H2O → 2KOH + O2 + H2O2
left side:K = 1O = 2 + 1H = 2
right side:K = (1 x 2)O = (1 x 2) + 2 + 2H = (1 x 2) + 2
Notice that since the H atom is bonded to one K atom and one O atom, we also need to apply the coefficients to these elements. Now you have a total of 4 H atoms on the right, so to balance the H atoms on the left,
KO2 + 2H2O → 2KOH + O2 + H2O2
left side:K = 1O = 2 + (1 x 2)H = 2 x 2 = 4
right side:K = 1 x 2 = 2O = (1 x 2) + 2 + 2H = (1 x 2) + 2 = 4
Also, you have two K atoms on the right but only one K atom on the left. Thus,
2KO2 + 2H2O → 2KOH + O2 + H2O2
left side:K = 1 x 2 = 2O = (2 x 2) + (1 x 2)H = 2 x 2 = 4
Now the only thing left to balance are the O atoms. But then again if you get the sum of O atoms on both sides of the equation,
left side:K = 1 x 2 = 2O = (2 x 2) + (1 x 2) = 6H = 2 x 2 = 4
right side:K = 1 x 2 = 2O = (1 x 2) + 2 + 2 = 6H = (1 x 2) + 2 = 4
2KO2 +H2O --- 2KOH +3/2 O2(BALANCED)
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