Solve Back Titration Problem to Find Ammonium Sulfate Mass in Fertiliser

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The discussion centers on calculating the mass of ammonium sulfate in a lawn fertilizer sample using back titration. The user performed the experiment with a 1.301g sample, adding excess NaOH and titrating the remaining NaOH with HCl, resulting in an average titre of 16.335mL. The calculated mass of ammonium sulfate was 0.3098g, which is significantly lower than the expected range of 0.600g-0.700g based on gravimetric analysis. Participants pointed out potential errors, including confusion over the volume of NaOH added and the need for clarification on the initial conditions of the titration. The user seeks guidance on correcting their calculations to align with expected results.
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Please Help! Back titration!

Find the mass of ammonium sulfate in lawn fertiliser.

The experiment in a nutshell:

A sample of 1.301g lawn fertiliser is dissolved in de-ionised water and diluted to 250mL. A 20mL aliquot is taken and an excess of 0.1M NaOH is added. The remaining NaOH is titrated with 0.09933M HCl.

The average titre was 16.335mL.


I get 0.3098g as my mass for ammonium sulfate. But for it to be concordant with my gravimetric analysis, that value should be between 0.600g-0.700g!
Can someone please tell me what's gone wrong or what to do to ge the right answer? Thanks!

My working:

Original n(NaOH) = 0.1 \times 0.02 = 0.002 mol

HCl + NaOH -> NaCl + H_2O

n(HCl) = 0.09933 \times 0.016355 = 0.00162454 mol

n(NaOH)_{unreacted with ammonium sulfate} = 0.00162454 mol

n(NaOH)_{reacted with ammonium sulfate} = 0.002 - 0.00162454 = 0.000375458mol

The ionic reaction between ammonium sulfate and NaOH is as follows:

NH_4^{+} + OH^{-} -> NH_3 + H_2O

n(NH_4^{+}) = n(OH^{-}) = 0.000375458 mol

[NH_4^{+}]_{20.00mL aliquot} = \frac{0.000375458}{0.02} = 0.01877 M

[NH_4^{+}]_{20.00mL aliquot} = [NH_4^{+}]_{250.00mL volumetric flask} = 0.01877 M

n(NH_4^{+})_{250mL volumetric flask} = 0.01877 \times 0.25 = 0.00469 mol

n(NH_4^{+}) = 2 \times n((NH_4)_2SO_4)

so n((NH_4)_2SO_4) = \frac{0.00469}{2} = 0.002345 mol

m((NH_4)_2SO_4) = 0.002345 \times 132.1 = 0.3098g
 
Last edited:
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How much 0.1 M NaOH did you add?
 


I have the same question as post #2. You apparently also confused the volume of aloquat with the unstated volume of NaOH.
 
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