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Question 1 of 3

A balance has a sensitivity of 20 milligrams. If the maximum allowable error is 4 %, what is the smallest amount of a substance (in milligrams) that can be weighed on this balance?

Type in your answer and PRESS ENTER.

milligrams
The smallest amount that can be weighed is 500 milligrams.
Percentage Error =                   Error                   x 100 %
Least Weighable Amount
The sensitivity is 20 mg so the maximum error is 20 mg.
4 =                     20                      x 100
Least Weighable Amount
Least Weighable Amount =   2000   mg
4
Least Weighable Amount = 500 mg

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Question 2 of 3

What is the smallest amount of a substance (in milligrams) that can be weighed on a balance with a sensitivity of 6 milligrams and a maximum potential error of 5 %?

Type in your answer and PRESS ENTER.

milligrams
The smallest amount that can be weighed is 120 milligrams.
Percentage Error =                  Error                  x 100 %
Least Weighable Amount
The sensitivity is 6 mg so the maximum error is 6 mg.
5 =                     6                      x 100
Least Weighable Amount
Least Weighable Amount =   600   mg
5
Least Weighable Amount = 120 mg

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Question 3 of 3

For a particular weighing, an accuracy of 2 % is needed. The balance is sensitive to 3 millligrams. What is the minimum amount of a substance that can be weighed (in milligrams)?

Type in your answer and PRESS ENTER.

milligrams
The smallest amount that can be weighed is 150 milligrams.
Percentage Error =                  Error                  x 100 %
Least Weighable Amount
An accuracy of 2 % means that the largest percentage error is 2 %.
The sensitivity is 3 mg so the maximum error is 3 mg.
2 =                     3                      x 100
Least Weighable Amount
Least Weighable Amount =   300   mg
2
Least Weighable Amount = 150 mg

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