Question

Divide the following measurements and round off the answer: (a) $66.3 \mathrm{~g} / 7.5 \mathrm{~mL}$ (b) $12.5 \mathrm{~g} / 4.1 \mathrm{~mL}$ (c) $42.620 \mathrm{~g} / 10.0 \mathrm{~mL}$ (d) $91.235 \mathrm{~g} / 10.00 \mathrm{~mL}$

Name: Problem 26, Chapter 2: Introductory Chemistry: Concepts and Critical Thinking
Uploaded: 2021-06-12T21:37:55-08:00
Duration: 1 min 49 s
Channel: Aadit Sharma
Description: Divide the following measurements and round off the answer: (a) 66.3 g / 7.5 mL (b) 12.5 g / 4.1 mL (c) 42.620 g / 10.0 mL (d) 91.235 g / 10.00 mL

   Divide the following measurements and round off the answer:
(a) $66.3 \mathrm{~g} / 7.5 \mathrm{~mL}$
(b) $12.5 \mathrm{~g} / 4.1 \mathrm{~mL}$
(c) $42.620 \mathrm{~g} / 10.0 \mathrm{~mL}$
(d) $91.235 \mathrm{~g} / 10.00 \mathrm{~mL}$

Introductory Chemistry: Concepts and Critical Thinking

Charles H. Corwin 7th Edition

Chapter 2, Problem 26

Instant Answer

Solved by Expert Aadit Sharma

06/12/2021

Step 1

For (a), we divide 66.3 g by 7.5 mL to get 8.84 g/mL. For (b), we divide 12.5 g by 4.1 mL to get 3.048 g/mL. For (c), we divide 42.620 g by 10.0 mL to get 4.262 g/mL. For (d), we divide 91.235 g by 10.00 mL to get 9.1235 g/mL. Show more…

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Divide the following measurements and round off the answer: (a) $66.3 \mathrm{~g} / 7.5 \mathrm{~mL}$ (b) $12.5 \mathrm{~g} / 4.1 \mathrm{~mL}$ (c) $42.620 \mathrm{~g} / 10.0 \mathrm{~mL}$ (d) $91.235 \mathrm{~g} / 10.00 \mathrm{~mL}$

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Key Concepts

Significant Figures

Significant figures indicate the precision of a measured or calculated quantity. They are used to ensure that the final results of arithmetic operations do not imply greater precision than the original measurements, typically by following established rules during multiplication, division, and rounding.

Rounding Off

Rounding off is a method used to simplify a numerical result by reducing the number of digits while maintaining a value that is close enough to the original number. It is especially important in measurements to match the precision of the data provided.

Division of Measurements

This concept involves performing arithmetic division on quantities that have associated units. The process requires careful handling of both numerical values and their units, ensuring the final result correctly reflects the combined units from the dividend and divisor.

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