Concept explainers
(a)
Interpretation:
For the given set of numbers the decimals has to be given.
Concept Introduction: The exponential number
To give: the decimals for the given number.
(b)
Interpretation:
For the given set of numbers the decimals has to be given.
Concept Introduction: The exponential number
To give: the decimals for the given number
(c)
Interpretation:
For the given set of numbers the decimals has to be given.
Concept Introduction: The exponential number
To give: the decimals for the given number
(d)
Interpretation:
For the given set of numbers the decimals has to be given.
Concept Introduction: The exponential number
To give: the decimals for the given number
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Chemistry: Atoms First
- (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_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_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_forwardPrecious 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_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_forward
- Which of the following include exact numbers?(a) The speed of light in a vacuum is a physical constant; to six significant figures, it is 2.99792×108 m/s.(b) The density of mercury at 25°C is 13.53 g/mL.(c) There are 3600 s in 1 h.(d) In 2010, the United States had 50 states.arrow_forwardCalculate these masses.(a) What is the mass of 6.00 cm3 of mercury, density = 13.5939 g/cm3?(b) What is the mass of 25.0 mL octane, density = 0.702 g/cm3?arrow_forwardThe world’s oceans have a combined volume of 3.204 x 10^8 miles^3. (A) If the average density of ocean water is 1.029 g/mL, what is the combined mass of the world’s oceans?arrow_forward
- Which of the following include exact numbers?(a) The speed of light in a vacuum is a physical constant; to six significant figures, it is 2.99792X10⁸m/s.(b) The density of mercury at 25°C is 13.53 g/mL.(c) There are 3600 s in 1 h.(d) In 2003, the United States had 50 states.arrow_forwardHow many significant figures are there in each of the following? (a) 61.8 ± 0.1 (b) 3.407 x 10⁹ (c) 2.0400 x 10-6 (d) 0.0040 Need Help? Read Itarrow_forward3) 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_forward
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