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Chapter 3: Q14P (page 62)

Rewrite the number 3.123 56 (±0.167 89%) in the forms (a) number (± absolute uncertainty) and (b) number (± percent relative uncertainty) with an appropriate number of digits.

Short Answer

Expert verified

Absoluteuncertainty=3.12±0.005and%relativeuncertainty=0.168%

Step by step solution

01

To solve for:

⦁ Number ±absolute uncertainty =?

⦁ Number± percentage relative uncertainty =?

02

Calculation of absolute uncertainty

Given information:

3.12356±0.16789%

⦁ To solve for the absolute uncertainty as shown below:

absoluteuncertainty=3.12356×0.16789% =3.12356×0.16789100=0.00524415Absoluteuncertainty=3.12(±0.005)

03

Calculation of percentage relative uncertainty

b) To solve the percentage relative uncertainty as shown:

% relative uncertainty = 0.16789%
% relative uncertainty = 0.168%

Therefore, the Absoluteuncertainty=3.12±0.005and%relativeuncertainty=0.168%

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Most popular questions from this chapter

Avogadro's number can be computed from the following measured properties of pure crystalline silicon: 5

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