Ch.1 - Chemical Tools: Experimentation & Measurement

McMurry8th EditionChemistryISBN: 9781292336145Not the one you use?Change textbook

McMurry 8th Edition

Ch.1 - Chemical Tools: Experimentation & Measurement

Problem 3

Chapter 1, Problem 3

Which quantity represents the largest mass? (LO 1.4) (a) 2.5 * 107 mg (b) 2.5 * 102 mg (c) 2.5 * 108 ng (d)2.5*10-3kg

Verified step by step guidance

Convert each quantity to the same unit for comparison. Let's use grams (g) as the common unit.

For option (a), convert milligrams to grams: \(2.5 \times 10^7 \text{ mg} = 2.5 \times 10^4 \text{ g}\).

For option (b), convert milligrams to grams: \(2.5 \times 10^2 \text{ mg} = 2.5 \times 10^{-1} \text{ g}\).

For option (c), convert nanograms to grams: \(2.5 \times 10^8 \text{ ng} = 2.5 \times 10^{-1} \text{ g}\).

For option (d), convert kilograms to grams: \(2.5 \times 10^{-3} \text{ kg} = 2.5 \text{ g}\).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. In this question, it is essential to convert all mass quantities to the same unit, such as grams or kilograms, to accurately compare their magnitudes. Understanding how to convert between milligrams (mg), nanograms (ng), and kilograms (kg) is crucial for determining which quantity represents the largest mass.

Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small in a compact form, using powers of ten. For example, 2.5 * 10^7 mg means 25,000,000 mg. Recognizing how to interpret and manipulate numbers in scientific notation is vital for comparing the sizes of different quantities effectively, especially when they are expressed in varying formats.

Mass Units

Mass units are standard measurements used to quantify the amount of matter in an object. Common units include milligrams (mg), grams (g), kilograms (kg), and nanograms (ng). Understanding the relationships between these units, such as 1 kg = 1,000,000 mg and 1 g = 1,000 mg, is necessary to determine which of the given options has the largest mass.

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Textbook Question

A mammalian HELA cell has a diameter of 2 * 10-5 m. Report the diameter of the cell using the most appropriate prefix on the base unit of meter. (LO 1.5) (b) 20 µm

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Textbook Question

Convert 0.055 milliseconds to seconds, and write the answer in scientific notation. (LO 1.3)(a) 5.5 * 10-3 s(b) 5.5 * 10-4 s (c) 5.5 * 10-5 s(d) 5.5 * 10-7 s

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Textbook Question

Which of the following statements is a hypothesis about the synthesis of gold nanoparticles? (LO 1.1) (a) Adding a salt solution to gold nanoparticles causes the color to change from red to blue.(b) To examine the effect of salt on gold nanoparticles, variable concentrations of salt are added to the nanopar-ticles and the results are measured(c) A solution of gold nanoparticles with an average diam-eter of 30 nm has a wavelength of maximum absorption of 450 nm and is a reddish-orange color.(d) Adding a substance with a negative charge to the surface of the nanoparticles creates repulsive forces that stabilize small particle size

A mammalian HELA cell has a diameter of 2 * 10-5 m. Report the diameter of the cell using the most appropriate prefix on the base unit of meter. (LO 1.5) (a) 2 µm

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Textbook Question

A mammalian HELA cell has a diameter of 2 * 10-5 m. Report the diameter of the cell using the most appropriate prefix on the base unit of meter. (LO 1.5) (c) 200 nm

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