Significant Figure Calculations s1

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Significant Figure Calculations and Algebraic Manipulations

Solve the following mathematical problems such that the answers have the correct number of significant figures:

1) 334.54 grams + 198 grams = ___________________

2) 34.1 grams / 1.1 mL = ___________________

3) 2.11 x 103 joules / 34 seconds = ___________________

4) 0.0010 meters – 0.11 m = ___________________

5) 349 cm + 1.10 cm + 100 cm = ___________________

6) 450 meters / 114 seconds = ___________________

7) 298.01 kilograms + 34.112 kilograms = ___________________

8) 84 m/s x 31.221 s = ___________________

Sample problems:

1. Given Boyles law which states at constant temperature, the pressure and volume of a gas are inversely related: P1V1 = P2V2, solve the following problem.

A sample of compressed methane has a volume of 648 mL at a pressure of 503 kPa, these are V1 and P1, respectively. To what pressure (P2) would the methane have to be compressed in order to have a volume of 216 mL (V2).

Significant Figure Calculations – Answers

Solve the following mathematical problems such that the answers have the correct number of significant figures:

1) 334.54 grams + 198 grams = 533 grams (rounded from 532.42 grams)

2) 34.1 grams / 1.1 mL = 31 g/mL (not rounded)

3) 2.11 x 103 joules / 34 seconds = 62 J/s (rounded from 62.0588 J/s)

4) 0.0010 meters – 0.11 m = -0.11 m (rounded from -0.109 m)

5) 349 cm + 1.10 cm + 100 cm = 500 cm (rounded from 450.1 cm)

6) 450 meters / 114 seconds = 3.9 m/s (rounded from 3.9474 m/s)

7) 298.01 kilograms + 34.112 kilograms = 332.12 kg (rounded from 332.122 kg)

8) 84 m/s x 31.221 s = 2600 m (rounded from 2622.564 m)

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