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if each purple sphere represents an atom of copper (cu), and each red s…

Question

if each purple sphere represents an atom of copper (cu), and each red sphere an atom of oxygen (o), how would you write a balanced equation demonstrates conservation of matter?
oa 2cu + 2o → cuo
ob 2cu + o₂ → 2cuo
oc cuo → 2cu + 2o
od 2cuo → 2cu + o₂

Explanation:

Step1: Count atoms on reactant side

  • There are 2 Cu atoms (purple spheres) and 2 O atoms (red spheres in \(O_2\) molecule).

Step2: Count atoms on product side

  • In option B, for \(2CuO\), there are \(2\times1 = 2\) Cu atoms and \(2\times1= 2\) O atoms.
  • Option A: Reactant side has 2 Cu and 2 O, product side has 1 Cu and 1 O (unbalanced).
  • Option C: Product side has 2 Cu and 2 O, reactant side has 1 Cu and 1 O (unbalanced, also wrong direction as per the diagram which is a synthesis reaction not decomposition).
  • Option D: Reactant side has 2 Cu and 2 O (in \(2CuO\)), product side has 2 Cu and 2 O (in \(O_2\)), but the diagram shows synthesis (reactants \(Cu\) and \(O_2\) forming \(CuO\)) not decomposition (wrong direction).

Answer:

B. \(2Cu + O_2
ightarrow2CuO\)