Prepare a solution of tabletop

Ans. Yes, thestudent would be able to calculate the mass of aspartame present insugar sample.

It is the case of “Standard Addition method”.

Steps:

Part 1: Calculate increase in [Aspartame] due tostandard addition (spiking)

Originalsolution: 400.0 mg sugar sample is dissolved in 10.0 mLvolume.

Spiked solution:5.0 mL standard aspartame is mixed with 400.0 mg tablet and dilutedto 10.0 mL solution. So, the spiked solution has higher [Aspartame]than that of the original solution.

Increase in [Aspartame] of spiked solution is given byC2 in –

           C1V1 (standard aspartame) = C2V2 (increased aspartame in spikedsolution)

           C1 x 5.0 mL = C2 x 10.0 mL

Since, standard [aspartame] = C1 = Known ; C2 can be calculatedfrom above expression.

Part 2: Let, Abs of original (un-spiked) sugarsolution = X

                      Abs of spiked-sugar solution = Y

           Increase in Abs due to spiking = Y – X

Since X and Y are experimentally determined, the increase in Abscan easily be calculated as (Y – X).

Now,

Since, the increase in Abs by (Y – X) units is solely due toaddition of Aspartame standard, an Abs of (Y-X) units isequivalent to “C2”- the increase in[Aspartame] due to spiking.

So,

           (Y-X) units Abs is equivalent to C2 aspartame

     Or, 1 unit-          –          –          [C2 / (Y-X)]

     Or, Xunits-          –          –          [C2 / (Y-X)] x X

In the above expression all the variables (C2, X and Y) areknown. SO, concentration of aspartame in the original sugarsolution is determined as “[C2 / (Y-X)] xX”          

# Once [aspartame] inoriginal solution is known, the mass of aspartame and relativeamount per unit mass of sugar tablet can also bedetermined.