What Is The Coefficient Of Drag?

What Is The Coefficient Of Cd

Cleaned assignment instructions: Determine the coefficient of Cd metal after balancing the given chemical equation: __Al(s) + __Cd(C2H3O2)2(aq) → __Al(C2H3O2)3(aq) + __Cd(s). Evaluate the balancing coefficients and identify the coefficient of Cd.

Paper For Above instruction

The chemical reaction involving aluminum and cadmium acetate can be represented as a displacement reaction where aluminum displaces cadmium from its acetate compound. To find the coefficient of cadmium (Cd) after balancing the chemical equation, we must ensure that the number of atoms for each element is equal on both sides of the reaction.

The unbalanced equation is:

__Al(s) + __Cd(C2H3O2)2(aq) → __Al(C2H3O2)3(aq) + __Cd(s)

Assign variables to the coefficients:

  • Let A = coefficient of Al
  • B = coefficient of Cd(C₂H₃O₂)₂
  • C = coefficient of Al(C₂H₃O₂)₃
  • D = coefficient of Cd

Balancing the reaction involves matching atoms of each element: aluminum, cadmium, carbon, hydrogen, and oxygen.

1. Aluminum atoms:

  • Left: A
  • Right: C

Thus, A = C.

2. Cadmium atoms:

  • Left: B (because B contains 1 Cd per formula unit)
  • Right: D

So, B = D.

3. Acetate groups:

  • In the reactant, B contains 2 acetates (per Cd2(C2H3O2)2).
  • On the product side, C contains 3 acetates (per Al(C2H3O2)3).

The carbon, hydrogen, and oxygen atoms must also be balanced:

Carbon atoms:

  • Left: 2 × B
  • Right: 3 × C

Since B = D and A = C, and B and C are the coefficients to be determined, focus on solving for B and C based on the acetate groups:

2B = 3C

But given A = C, and B = D, the primary focus is on the cadmium and acetate balancing.

Choose the smallest whole numbers that satisfy all constraints, especially 2B = 3C, which implies B should be a multiple of 3, and C a multiple of 2. The smallest common multiple is:

  • B=3
  • C=2

Therefore, the coefficients are:

  • __Al = 2
  • __Cd(C₂H₃O₂)₂ = 3
  • __Al(C₂H₃O₂)₃ = 2
  • __Cd = 3

The coefficient of Cd is 3.

Hence, the answer to the question about the coefficient of Cd after balancing this reaction is 3.

References

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