Concept explainers
(a)
Interpretation:
The answers for the given set of calculations have to be given in scientific notations.
Concept introduction:
Scientific notation: The expression of very big or very small numbers into a comfortable decimal form.
To give: the scientific notation for the given calculation
(b)
Interpretation:
The answers for the given set of calculations have to be given in scientific notations.
Concept introduction:
Scientific notation: The expression of very big or very small numbers into a comfortable decimal form.
To give: the scientific notation for the given calculation
(c)
Interpretation:
The answers for the given set of calculations have to be given in scientific notations.
Concept introduction:
Scientific notation: The expression of very big or very small numbers into a comfortable decimal form.
To give: the scientific notation for the given calculation
(d)
Interpretation:
The answers for the given set of calculations have to be given in scientific notations.
Concept introduction:
Scientific notation: The expression of very big or very small numbers into a comfortable decimal form.
To give: the scientific notation for the given calculation
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EBK CHEMISTRY: ATOMS FIRST
- Perform the following arithmetic operations, and report the result to the proper number of significantfigures: (a) 1.0267 cm × 2.508 cm × 12.599 cm, (b) 15.0 kg ÷ 0.036 m3 , (c) 1.113 × 1010 kg − 1.050 × 109 kg, (d) 25.75 mL + 15.00 mL, (e) 46 cm3 + 180.5 cm3arrow_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_forwardFor 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_forward
- Perform 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_forwardLight travels in a vacuum at a speed of 3.00 × 108 m s-1 .(a) Convert this speed to miles per second.(b) Express this speed in furlongs per fortnight, a littleused unit of speed. (A furlong, a distance used in horse racing, is 660 ft; a fortnight is exactly 2 weeks.)arrow_forwardCarry out the following conversions: (a) 1.42 lightyears to miles (a light-year is an astronomical measure of distance—the distance traveled by light in a year, or 365 days; the speed of light is 3.00x10^8 m/s), (b) 32.4 yd to centimeters, (c) 3.0 3x10^10 cm/s to ft/s.arrow_forward
- How 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(a) A cube of osmium metal 1.500 cm on a side has a mass of76.31 g at 25 °C. What is its density in g/cm3 at this temperature?(b) The density of titanium metal is 4.51g/cm3 at 25 °C.What mass of titanium displaces 125.0 mL of water at 25 °C? (c) The density of benzene at 15 °C is 0.8787 g/mL. Calculatethe mass of 0.1500 L of benzene at this temperature.arrow_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_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_forwardCarry out the following conversions: (a) 32.4 yd to centimeters, (b) 3.0 × 1010 cm/s to ft/s, (c) 1.42 light-years to miles (a light-year is an astronomical measure of distance—the distance traveled by light in a year, or365 days; the speed of light is 3.00 × 108m/s).arrow_forwardDetermine the value of the following expressions using the correct number of significant figures: (a) 7.10 m + 9.003 m, (b) 0.004 g × 1.13 garrow_forward
- Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning