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Practice ProblemBUILD
Perform the following arithmetic operations, and report the result to the proper number of significant figures:
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Chemistry
- 3) Multiply 6.4 x 10^-3 times 8.0 x 10^7 and express the answer in scientific notation.(a) 5.1 x 10^-21(b) 5.1 x 10^–3(c) 5.1 x 10^3(d) 5.1 x 10^4(e) 5.1 x 10^5 Step by step 4) Round off the following measurement to three significant digits: 14,546 cm.(a) 145 cm (b) 146 cm(c) 14,500 cm (d) 14,600 cm(e) 15,000 cm Step by steparrow_forwardExpress the results of the following additions and subtractions to the proper number of significant figures. All of thenumbers are measured quantities.(a) 67.314+8.63 - 243.198=(b) 4.31 +64 +7.19 =(c) 3.1256 × 1015 - 4.631 × 1013 =(d) 2.41 × 10-26 -7.83 × 10-25 =arrow_forwardPerform the following arithmetic operations and report the result to the proper number of significant figures: (a) 317.5 mL + 0.675 mL,(b) 47.80 L − 2.075 L, (c) 13.5 g ÷ 45.18 L, (d) 6.25 cm × 1.175 cm, (e) 5.46 × 102 g + 4.991 × 103g.arrow_forward
- For each of the following numbers, determine the number ofsignificant figures it contains, rewrite it without using scientific notation, and determine thenumber of significant figures in the result. (a) 3.050 × 10–4 , (b) 4.3200 × 102 , (c) 8.001 × 10–7, (d) 2.006080 × 105 , (e) 1.503 × 10–5 , (f) 6.07510 × 104arrow_forwardExpress the results of the following additions and subtractions to the proper number of significant figures. All of thenumbers are measured quantities.(a) 245.876+ 4.65+ 0.3678 =(b) 798.36 - 1005.7 + 129.652 =(c) 7.98 × 1017 + 6.472 × 1019 =(d) (4.32 × 10-15) - (6.257 × 10-14) - (2.136 × 10-13) =arrow_forwardHow many significant figures are there in each of the following?(a) 81.0 ± 0.8 (b) 3.827 ✕ 109 (c) 2.94 ✕ 10−6 (d) 0.0015arrow_forward
- Precious metals and gems are measured in Troy weights in the English system. Use the unit relationship given below to perform the requested calculations (A) what is the mass of 1.0 Troy ounces in grams? (B) The density of gold is 19.3g/cm^3. What is the volume of 12.5 carats of gold in mL? (C) a thief steals 531 pennyweights of silver. How many moles is that? (D) A wedding ring contains 2.56 x 10^22 atoms of diamond. How much are the diamonds in the ring worth if a 1-carat diamond costs $7600.0 ?arrow_forwardPerform the following arithmetic operations, and report the result to the proper number of significant figures:(a) 105.5 L + 10.65 L, (b) 81.058 m − 0.35 m, (c) 3.801 × 1021 atoms + 1.228 × 1019 atoms, (d) 1.255 dm × 25 dm, (e) 139 g ÷ 275.55 mL.arrow_forwardA group of students took turns using a laboratory balanceto weigh the water contained in a beaker. The results theyreported were 111.42 g, 111.67 g, 111.21 g, 135.64 g,111.02 g, 111.29 g, and 111.42 g.(a) Should any of the data be excluded before the average is calculated?(b) From the remaining measurements, calculate the average value of the mass of the water in the beaker.(c) Calculate the standard deviation s and, from it, the 95% confidence limit.arrow_forward
- Give only typing answer with explanation and conclusion An empty Erlenmeyer flask weighs 215.8 g. When filled with water (d = 1.00 g/cm3), the flask and its contents weigh 571.1 g. (a) What is the volume of water in the flask? Enter your answer in scientific notation. × 10 cm3 (b) How much does the flask weigh when filled with the same volume of chloroform (d = 1.48 g/cm3)?arrow_forwardTwo students determine the percentage of lead in a sampleas a laboratory exercise. The true percentage is 22.52%. Thestudents’ results for three determinations are as follows:(1) 22.52, 22.48, 22.54(2) 22.64, 22.58, 22.62(a) Calculate the average percentage for each set of data andstate which set is the more accurate based on the average.(b) Precision can be judged by examining the average of thedeviations from the average value for that data set. (Calculatethe average value for each data set; then calculate the averagevalue of the absolute deviations of each measurementfrom the average.) Which set is more precise?arrow_forwardPerform the following calculations and report each answer with the correct number of significant figures. (a) 60.9 x 35 4.0 2100 (b) 0.144 +0.0070 + 0.011 4.0 X (c) 37 x 92 x 1.857 4.0 6400 (d) 16 4.0 (e) 8.63 x (f) 4.0 (h) 0.18 0.6410 4.0 180 + 7.40 + 0.013 0.0350 0.502 (g) 28.7 0.0483 4.0 4.0 (92.4 91.46) 44.70 X X Check the number of significant figures.arrow_forward
- Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning