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Glass made with the mineral tellurite, TeO2 (M = 159.6 g mol⁻¹), is often used to manufacture optical fibres - VCE - SSCE Chemistry - Question 5 - 2011 - Paper 1

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Glass made with the mineral tellurite, TeO2 (M = 159.6 g mol⁻¹), is often used to manufacture optical fibres. The amount of tellurite in an ore sample can be determi... show full transcript

Worked Solution & Example Answer:Glass made with the mineral tellurite, TeO2 (M = 159.6 g mol⁻¹), is often used to manufacture optical fibres - VCE - SSCE Chemistry - Question 5 - 2011 - Paper 1

Step 1

i. The half equation for the reduction of the Cr2O7²⁻ ion.

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Answer

The half reaction for the reduction of the dichromate ion can be stated as:

Cr2O72(aq)+14H+(aq)+6e2Cr3+(aq)+7H2O(l)Cr_2O_7^{2-}(aq) + 14H^+(aq) + 6e^- → 2Cr^{3+}(aq) + 7H_2O(l)

Step 2

ii. Write a balanced half equation for the oxidation of TeO2.

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Answer

The oxidation of TeO2 is represented by the half equation:

TeO2(s)+2H+(aq)+2eH2TeO4(aq)TeO_2(s) + 2H^+(aq) + 2e^- → H_2TeO_4(aq)

Step 3

iii. Balance the chemical equation by writing the coefficient of each chemical species in the spaces provided.

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Answer

The balanced chemical equation will be:

1TeO2(s)+1Cr2O72(aq)+8H+(aq)1H2TeO4(aq)+2Cr3++7H2O(l)1TeO_2(s) + 1Cr_2O_7^{2-}(aq) + 8H^+(aq) → 1H_2TeO_4(aq) + 2Cr^{3+} + 7H_2O(l)

Step 4

i. Calculate the amount, in moles, of excess dichromate ion.

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Answer

To find the amount of excess dichromate, first calculate the moles of dichromate used:

  • Moles of K2Cr2O7 = concentration × volume (L)
  • 0.03052extmol/Limes0.05000extL=0.001526extmol0.03052 ext{ mol/L} imes 0.05000 ext{ L} = 0.001526 ext{ mol}

Next, calculate the moles of Fe(NO3)3 reacted:

  • Moles of Fe(NO3)3 = concentration × volume (L)
  • 0.0525extmol/Limes0.01971extL=0.001034extmol0.0525 ext{ mol/L} imes 0.01971 ext{ L} = 0.001034 ext{ mol}

Using stoichiometry, since 1 mole of Cr2O7²⁻ reacts with 6 moles of Fe³⁺:

  • Moles of Cr2O7²⁻ consumed = 1.034 imes rac{1}{6} = 0.0001723 ext{ mol}

Now, calculate excess dichromate:

  • Excess moles of Cr2O7²⁻ = initial moles - moles reacted:
  • 0.0015260.0001723=0.0013537extmol0.001526 - 0.0001723 = 0.0013537 ext{ mol}

Step 5

ii. Calculate the amount, in moles, of dichromate that reacted with the tellurite.

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Answer

From the calculated amounts earlier:

  • Moles of Cr2O7²⁻ reacted with tellurite:
  • extMolesreacted=0.0015260.0013537=0.0001723extmol ext{Moles reacted} = 0.001526 - 0.0013537 = 0.0001723 ext{ mol}

Step 6

iii. Calculate the mass of tellurite in the ore sample.

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Answer

Using the moles of tellurite reacted with the dichromate:

  • Based on stoichiometry from the balanced equation:

  • Ratio of TeO2 to Cr2O7²⁻ = 1:1 (from the balanced equation)

  • Therefore, moles of TeO2 = moles of Cr2O7²⁻ reacted = 0.0001723 mol

Finally, calculate the mass:

  • mass=molesimesmolarmass=0.0001723extmolimes159.6extg/mol=0.0275extgmass = moles imes molar mass = 0.0001723 ext{ mol} imes 159.6 ext{ g/mol} = 0.0275 ext{ g}

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