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An electroplating process uses a solution of chromium(III) sulfate, Cr2(SO4)3, to deposit a thin layer of chromium on the surface of an object - VCE - SSCE Chemistry - Question 19 - 2016 - Paper 1

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An electroplating process uses a solution of chromium(III) sulfate, Cr2(SO4)3, to deposit a thin layer of chromium on the surface of an object. A current of 5.00 A i... show full transcript

Worked Solution & Example Answer:An electroplating process uses a solution of chromium(III) sulfate, Cr2(SO4)3, to deposit a thin layer of chromium on the surface of an object - VCE - SSCE Chemistry - Question 19 - 2016 - Paper 1

Step 1

Calculate the total charge required

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Answer

To find the total charge ( Q ), we can use the relation that the charge is equal to the number of moles of electrons multiplied by Faraday's constant:

Q=nimesFQ = n imes F

Where:

  • nn is the number of moles of chromium, which is 0.0192 mol.
  • FF (Faraday's constant) = 96485 C/mol.

Thus:

Q=0.0192extmolimes3ext(forCr)imes96485extC/mol =0.0192imes289955extC =5560.96extCQ = 0.0192 ext{ mol} imes 3 ext{ (for Cr)} imes 96485 ext{ C/mol} \ = 0.0192 imes 289955 ext{ C} \ = 5560.96 ext{ C}

Step 2

Determine the time using the current

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Answer

Using the relation between current, charge, and time:

Q=IimestQ = I imes t

Where:

  • II is the current (5.00 A),
  • tt is the time in seconds.

Rearranging the formula to find time gives:

t=QI=5560.96extC5.00extA=1112.19extsecondst = \frac{Q}{I} = \frac{5560.96 ext{ C}}{5.00 ext{ A}} = 1112.19 ext{ seconds}

Thus, rounding to the nearest whole number, it takes approximately 1110 seconds.

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