Explanation:
MWQ means the minimum weighable quantity.
Mathematically, MWQ = [tex]\frac{Sensitivity}{1 - \text{fraction of accuracy}}[/tex]
or, MWQ = [tex]\frac{sensitivity}{\text{fractional error}}[/tex]
It is given that sensitivity is 4.5 mg and maximum permitted error is 3.6%.
Therefore, fraction error = [tex]\frac{3.6}{100}[/tex] = 0.036
Hence, we will calculate MWQ as follows.
MWQ = [tex]\frac{sensitivity}{\text{fractional error}}[/tex]
= [tex]\frac{4.5 mg}{0.036}[/tex]
= 125 mg
Thus, we can conclude that the MWQ of the given balance is 125 mg.
