Question

A technician experimentally determined the boiling point of octane to be 124.1°C. The actual boiling point of octane is 125.7°C. Calculate the percent error.

Page 72 #16 Determine the number of significant figures in each of the following measurements?
11 soccer players
0.070020 meter
10,800 meters
0.010 square meter
5.00 cubic meters
507 thumbtacks

Page 72 #17 Solve the following and express each answer in scientific notation and to the correct number of significant figures.
(5.3 x 104) + (1.3 x 104)
(7.2 x 10-4) ÷ (1.8 x 103)
104 x 10-3 x 106
(9.12 x 10-1) - (4.7 x 10-2)

Answer 1

Percent error=(experimentally determined boiling point-actual boiling point)

=(124.1 - 125.7) = 1.6 °C

`Percentage error is (1.6* 100)/(125.7) = 1.27%`

Quantity Number of significant figures

0.070020 meter 5

10,800 meters 5

0.010 square meter 2

5.00 cubic meters 1

507 thumbtacks 3

(5.3 x 10⁴) + (1.3 x 10⁴) =6.6 x 10⁴

(7.2 x 10⁻⁴) ÷ (1.8 x 10³)=4 x 10⁻⁷

10⁴ x 10⁻³ x 10⁶=10⁷

(9.12 x 10⁻¹) - (4.7 x 10⁻²)=(9.12 x 10⁻²) - (4.7 x 10⁻²)

=(91.2-4.7) x 10⁻²

=85.5 x 10⁻²