Concept explainers
Perform each calculation to the correct number of significant figures.
a.
b.
c.
d.
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Introductory Chemistry (5th Edition) (Standalone Book)
- For these questions, be sure to apply the rules for significant figures. a You are conducting an experiment where you need the volume of a box; you take the length, height, and width measurements and then multiply the values together to find the volume. You report the volume of the box as 0.310 m1. If two of your measurements were 0.7120 m and 0.52145 m, what was the other measurement? b If you were to add the two measurements from the first part of the problem to a third length measurement with the reported result of 1.509 m, what was the value of the third measurement?arrow_forwardTwo students were assigned to determine the mass of a sample of an unknown liquid. Student A used an ordinary laboratory balance that could determine mass to ±0.01 g. Student B used an analytical balance that could measure mass to ±0.1 mg. Each made four measurements, giving the following results: Student A: 8.19 g, 8.22 g, 8.21 g, 8.25 g Student B: 8.2210 g, 8.2210 g, 8.2209 g, 8.2210 g 2. Which student is more precise? A Barrow_forwardA person weighed 15 pennies on a balance and recorded the following masses: 3.112 g 3.109 g 3.059 g 2.467 g 3.079 g 2.518 g 3.129 g 2.545 g 3.050 g 3.053 g 3.054 g 3.072 g 3.081 g 3.131 g 3.064 g Curious about the results, he looked at the dates on each penny. Two of the light pennies were minted in 1983 and one in 1982. The dates on the 12 heavier pennies ranged from 1970 to 1982. Two of the 12 heavier pennies were minted in 1982. a. Do you think the Bureau of the Mint changed the way it made pennies? Explain. b. The person calculated the average mass of the 12 heavy pennies. He expressed this average as 3.0828 g 0.0482 g. What is wrong with the numbers in this result, and how should the value be expressed?arrow_forward
- The first measurement of sea depth was made in 1840 in the central South Atlantic, where a plummet was lowered 2425 fathoms. What is this depth in meters? Note that 1 fathom = 6ft, 1 ft = 12 in., and 1 in. = 2.54 102 m. (These relations are exact.)arrow_forwardHow many significant figures are in each measurement? (a) 3.1416 degrees (b) 0.00314 K (c) 1.0079 s (d) 6.022 1023 particlesarrow_forwardA sample of a bright blue mineral was weighed in air, then weighed again while suspended in water. An object is buoyed up by the mass of the fluid displaced by the object. In air, the mineral weighed 7.35 g; in water, it weighed 5.40 g. The densities of air and water are 1.205 g/L and 0.9982 g/cm3, respectively. What is the density of the mineral?arrow_forward
- Gold leaf, which is used for many decorative purposes, is made by hammering pure gold into very thin sheets. Assuming that a sheet of gold leaf is 1.27 105 cm thick, how many square feet of gold leaf could be obtained from 28.35 g gold? The density of gold is 19.3 g/cm3.arrow_forwardOne year of world production of gold was 49.6 106 troy ounces. One troy ounce equals 31.10 g. What was the world production of gold in metric tons (106 g) for that year?arrow_forwardQuestion 1: Determine whether the answer to each calculation has the correct number of significant figures. If not, correct it: 1A) 89.763 + 22.4581 = 3.997 1B) 4.32x1012 ÷ 3.1x104 = 1.4x1016 Question 2: Perform this calculation to the correct number of significant figures 9443 + 45 – 9.9 x 8.1x106 Question 3: Perform the following conversions: 3A) 78.3 cm to inches 3B) 22.5 lbs. to micrograms 3C) 396 in to L 4A) A new penny has a mass of 2.49g and a volume of 0.349cm³. Is the penny pure copper?arrow_forward
- I don't understand the wording. The least significant digit means the last digit? 7.700 X 2.1 = 16.17 would the uncertainty be 0.01 ? 2.132 + 17 + 4.04 = 23.172 would the uncertainty be 0.001 ?arrow_forwardPerform the following calculations and express the answer with the appropriate number of significant figures: 1 (46.21 × 2.55) − (2.643 × 0.662) 2. (1.00866 − 1.00728) / (6.02205×1023 ) 3.(22.614 − 19.3) / 19.arrow_forward9.121 x 10^-2 + 9.92 x 10^-3 =. ___arrow_forward
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