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0.010 mol of chloral hydrate, CCl₃CH(OH)₃, is dissolved in a pure organic solvent - VCE - SSCE Chemistry - Question 6 - 2002 - Paper 1

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0.010 mol of chloral hydrate, CCl₃CH(OH)₃, is dissolved in a pure organic solvent. The resulting solution is made up to one litre exactly. In this solvent, the chlor... show full transcript

Worked Solution & Example Answer:0.010 mol of chloral hydrate, CCl₃CH(OH)₃, is dissolved in a pure organic solvent - VCE - SSCE Chemistry - Question 6 - 2002 - Paper 1

Step 1

Determine the Equilibrium Reaction Expressions

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Answer

For the given reaction, the equilibrium constant K is expressed as: K=[CCl3CHO][H2O][CCl3CH(OH)3]K = \frac{[CCl₃CHO][H₂O]}{[CCl₃CH(OH)₃]}

At equilibrium, we know the concentration of water, ([H₂O] = 0.0020 , M). The initial concentration of chloral hydrate was 0.010 M.

Step 2

Calculate Initial and Change in Concentrations

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Answer

Let ( x ) be the change in concentration of CCl₃CHO and H₂O at equilibrium. Since water is produced, at equilibrium:

  • ([CCl₃CHO] = x )
  • ([CCl₃CH(OH)₃] = (0.010 - x) )

Given that ( [H₂O] = 0.0020 ), we can substitute ( x = 0.0020 ). Thus, the equilibrium concentrations are:

  • ([CCl₃CHO] = 0.0020 )
  • ([CCl₃CH(OH)₃] = 0.010 - 0.0020 = 0.0080 )

Step 3

Substitute Concentrations into the K Expression

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Answer

Now substituting the equilibrium concentrations into the equilibrium expression: K=[0.0020][0.0020][0.0080]K = \frac{[0.0020][0.0020]}{[0.0080]} Calculating this gives: K=4.0×1040.0080=5.0×104K = \frac{4.0 \times 10^{-4}}{0.0080} = 5.0 \times 10^{-4}

Step 4

Select the Correct Answer

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Answer

From the calculations, the equilibrium constant for the reaction at this temperature is:

B. 5.0 × 10⁻⁴

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