HW 3

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Tidewater Community College *

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Chemistry

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Apr 3, 2024

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2/4/24, 11:03 PM HW 3.1 Units and Conversions-Maria Huerta https://tdx.acs.pearsonprd.tech/api/v1/print/highered 1/1 Student: Maria Huerta Date: 02/04/24 Instructor: Dania Sinibaldi Course: Quantitative Reasoning O06B SP24 Assignment: HW 3.1 Units and Conversions What is the weight of a -carat diamond in grams and ounces? Use 1 carat 0.2 gram, 1 carat 3.086 grains, and 1 ounce 437.5 grains. 35.54 = = = A carat is a unit of weight defined to be exactly 0.2 gram. To convert carats to grams, use the conversion factor 1 carat 0.2 gram. This conversion factor can be written in two other equivalent forms shown below. = 1 or 1 = 1 carat 0.2 gram = 0.2 gram 1 carat Because the conversion factor between carats and grams must have grams in the numerator and carats in the denominator, so that the resulting value is in grams, use and perform the conversion. 0.2 gram 1 carat grams 35.54 carat 0.2 gram 1 carat 7.11 Now find the weight of a -carat diamond in ounces. The equivalency table contains no direct conversion from carats to ounces. To convert from carats to ounces, begin by converting from carats to grains using the conversion factor 1 carat 3.086 grains. This conversion factor can be written in two other equivalent forms shown below. 35.54 = 1 or 1 = 3.086 grains 1 carat = 1 carat 3.086 grains Because the conversion factor between carats and grains must have grains in the numerator and carats in the denominator, so that the resulting value is in grains, use . 3.086 grains 1 carat Now convert grains to ounces using the conversion factor 1 ounce 437.5 grains. This conversion factor can be written in two other equivalent forms shown below. = 1 or 1 = 1 ounce 437.5 grains = 437.5 grains 1 ounce Because the conversion factor between ounces and grains must have ounces in the numerator and grains in the denominator, so that the resulting value is in ounces, use . 1 ounce 437.5 grains Use and and perform the conversion. 3.086 grains 1 carat 1 ounce 437.5 grains ounces 35.54 carat 3.086 grains 1 carat 1 ounce 437.5 grains 0.25 Therefore, the weight of a -carat diamond is approximately g and oz. 35.54 7.11 0.25
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