Question

A pharmacist attempts to weigh 0.375 g of morphine sulfate on a balance of dubious accuracy. When checked on a highly accurate balance, the weight is found to be 0.400 g. Calculate the percentage of error in the first weighing.

Answer 1

Answer:
`6.25\%`

Explanation:

Given: A pharmacist attempts to weigh 0.375 g of morphine sulfate on a balance of dubious accuracy. When checked on a highly accurate balance, the weight is found to be 0.400 g.

i.e. Estimated weight = 0.375 g and Actual weight = 0.400 g

Now, the percentage of error in the first weighing is given by :-

`\%\text{ Error}=\frac{|\text{Estimate-Actual}|}{\text{Actual}}*100\\\\=(|0.375-0.400|)/(0.400)*100\\\\=(|-0.025|)/(0.400)*100\\\\=(0.025)/(0.4)*100\\\\=(25*10)/(4*1000)*100=(25)/(4)=6.25\%`

Hence, the percentage of error in the first weighing =
`6.25\%`