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A-level chem calc Q

A 50.0 cm3
sample of solution X was added to 50 cm3
of dilute sulfuric acid and
made up to 250 cm3
of solution in a volumetric flask.
A 25.0 cm3
sample of this solution from the volumetric flask was titrated with a
0.0205 mol dm−3 solution of KMnO4
At the end point of the reaction, the volume of KMnO4 solution added was 18.70 cm3.
i) Write an equation for the reaction between iron(II) ions and manganate(VII) ions.
Use this equation and the information given to calculate the concentration of
iron(II) ions in the original solution X.

ANSWER:
MnO4− + 8H+ + 5Fe2+ Mn2+ + 4H2O + 5Fe3+
Moles KMnO4 = 18.7 × 0.0205 / 1000 = (3.8335 × 10−4)
Moles Fe2+ = 5 × 3.8335 × 10−4 = 1.91675 × 10−3
Mark for M2 × 5
Moles Fe2+ in 250 cm3
= 10 × 1.91675 × 10−3 = 0.0191675 moles in 50
cm3

Original conc Fe2+ = 0.0191675 × 1000 / 50 = 0.383 mol dm−3

Why have they multiplied by 10? Is it just to get from 25 to 250 (that seems too simple)?
Original post by sarabham2001

Why have they multiplied by 10? Is it just to get from 25 to 250 (that seems too simple)?

Yes it is that simple. It's also something that students forget to do and lose marks for.
Original post by sarabham2001
A 50.0 cm3
sample of solution X was added to 50 cm3
of dilute sulfuric acid and
made up to 250 cm3
of solution in a volumetric flask.
A 25.0 cm3
sample of this solution from the volumetric flask was titrated with a
0.0205 mol dm−3 solution of KMnO4
At the end point of the reaction, the volume of KMnO4 solution added was 18.70 cm3.
i) Write an equation for the reaction between iron(II) ions and manganate(VII) ions.
Use this equation and the information given to calculate the concentration of
iron(II) ions in the original solution X.

ANSWER:
MnO4− + 8H+ + 5Fe2+ Mn2+ + 4H2O + 5Fe3+
Moles KMnO4 = 18.7 × 0.0205 / 1000 = (3.8335 × 10−4)
Moles Fe2+ = 5 × 3.8335 × 10−4 = 1.91675 × 10−3
Mark for M2 × 5
Moles Fe2+ in 250 cm3
= 10 × 1.91675 × 10−3 = 0.0191675 moles in 50
cm3

Original conc Fe2+ = 0.0191675 × 1000 / 50 = 0.383 mol dm−3

Why have they multiplied by 10? Is it just to get from 25 to 250 (that seems too simple)?

does anyone know why you divide by 1000?
Reply 3
Original post by Sinthuja Vijay
does anyone know why you divide by 1000?

This is the conversion from cm3 to dm3
Will come up in most titration calculations as concentrations are generally in mol dm-3 but titration results will be in cm3....so no. of moles = conc (in mol dm-3) x volume (in dm3)

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