Question

The precision of a balance is +0.02 g. The accepted value for a measurement is 26.86 g. Which measurement is in the accepted range?

a) 26.02 g
b) 26.82 g
c) 26.87 g
d) 26.90 g

Answer 1

The measurement that is within the accepted range of 26.86 g ±0.02 g on a balance is 26.87 g. This is because it falls within the range defined by the balance's precision.

Step-by-step explanation:

The precision of a balance is ±0.02 g. The accepted value for a measurement is 26.86 g. When we account for the balance's precision, any measurement that falls within the range of 26.84 g to 26.88 g is considered within the accepted range due to the uncertainty of ±0.02 g around the accepted value. Looking at the options provided:

• Option a) 26.02 g is not within the accepted range
• Option b) 26.82 g is just below the accepted range
• Option c) 26.87 g is within the accepted range
• Option d) 26.90 g is above the accepted range

Therefore, the measurement that is within the accepted range is 26.87 g.