An unknown oxide of manganese is reacted with carbon to form manganese metal and CO2. Exactly 31.6 g

Question

An unknown oxide of manganese is reacted with carbon to form manganese metal and CO2. Exactly 31.6 g of the oxide, MnxOy, yielded 13.2 g of CO2. The simplest formula of the oxide is (Mn = 55)

Accepted Answer

$Mn_{x}O_{y} + \frac{y}{2}C ightarrow xMn + \frac{y}{2}CO_{2}$$(55x + 16y)g \frac{y}{2} 	imes 44g $$${	herefore	ext{31.6 g} \frac{22y}{55x + 16y} 	imes 31.6 = 13.2 }{ \Rightarrow x:y = 2:3}$$

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