A pharmacist attempts to weigh 120mg of codeine sulphate on a balance with a sensitivity requirement of 6mg. Calculate the maximum potential error in terms of percentage.
The answer is 5%. Please do show the solution. Thanks!
A pharmacist attempts to weigh 120mg of codeine sulphate on a balance with a sensitivity requirement of 6mg. Calculate the maximum potential error in terms of percentage.
The answer is 5%. Please do show the solution. Thanks!
The sensitivity is $6$ mg, so the maximum weight given is $126$ mg.
the error is $126-120=6$ mg.
in percentage, it is
$$\frac {6}{120}\times 100=5 \%$$
If 120mg codeine sulphate is weighed the balalance show at maximum $120mg+6mg=126$
And the balance show at minimum $120mg-6mg=114$
And the relative error can be calculated with the minimum and the maximum
$$\frac{126mg-120mg}{120mg}=\frac{120mg-114mg}{120mg}=\frac{6mg}{120mg}=0.05=5\%$$