Write balanced chemical equations for the reactions between:
$(a)$ $Na_{2}O_{2}$ and water
$(b)$ $KO_{2}$ and water
$(c)$ $Na_{2}O$ and $CO_{2}$

$(a)$ Reaction of $Na_{2}O_{2}$ with water:
$2Na_{2}O_{2(s)} + 2H_{2}O_{(l)} \rightarrow 4NaOH_{(aq)} + O_{2(g)}$
$(b)$ Reaction of $KO_{2}$ with water:
$2KO_{2(s)} + 2H_{2}O_{(l)} \rightarrow 2KOH_{(aq)} + H_{2}O_{2(aq)} + O_{2(g)}$
$(c)$ Reaction of $Na_{2}O$ with $CO_{2}$:
$Na_{2}O_{(s)} + CO_{2(g)} \rightarrow Na_{2}CO_{3(s)}$