Question

If on a certain year, an estimated amount of 4 million metric tons ( 1 metric ton $=1000 \mathrm{~kg}$ ) of nitrous oxide $\left(\mathrm{N}_{2} \mathrm{O}\right)$ was emitted worldwide due to agricultural activities, express this mass of $\mathrm{N}_{2} \mathrm{O}$ in grams without exponential notation, using an appropriate metric prefix.

Name: Problem 39, Chapter 1: Chemistry: The Central Science in SI Units, Global Edition
Uploaded: 2021-07-05T22:56:23-08:00
Duration: 2 min 58 s
Channel: Zaida Minjares
Description: If on a certain year, an estimated amount of 4 million metric tons ( 1 metric ton =1000 kg ) of nitrous oxide (N2 O) was emitted worldwide due to agricultural activities, express this mass of N2 O in grams without exponential notation, using an appropriate metric prefix.

   If on a certain year, an estimated amount of 4 million metric tons ( 1 metric ton $=1000 \mathrm{~kg}$ ) of nitrous oxide $\left(\mathrm{N}_{2} \mathrm{O}\right)$ was emitted worldwide due to agricultural activities, express this mass of $\mathrm{N}_{2} \mathrm{O}$ in grams without exponential notation, using an appropriate metric prefix.

Chemistry: The Central Science in SI Units, Global Edition

Theodore L. Brown,… 14th Edition

Chapter 1, Problem 39

Instant Answer

Solved by Expert Zaida Minjares

07/05/2021

Step 1

We also know that 1 kg is equal to 1000 g. Therefore, we can say that 1 metric ton is equal to 1000 kg * 1000 g/kg = 1,000,000 g. Show more…

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If on a certain year, an estimated amount of 4 million metric tons ( 1 metric ton $=1000 \mathrm{~kg}$ ) of nitrous oxide $\left(\mathrm{N}_{2} \mathrm{O}\right)$ was emitted worldwide due to agricultural activities, express this mass of $\mathrm{N}_{2} \mathrm{O}$ in grams without exponential notation, using an appropriate metric prefix.

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Key Concepts

Dimensional Analysis

Dimensional analysis is a method used to confirm that equations and conversions are consistent in their units. By systematically applying conversion factors, it ensures that the final result has the appropriate units, thereby minimizing errors in mathematical manipulations and scientific computations.

Metric Prefixes

Metric prefixes are designations like kilo, mega, and milli that denote specific powers of ten. They simplify the expression and understanding of very large or very small numbers, allowing for clarity in communication and calculation without resorting to explicit exponential notation.

Unit Conversion in the Metric System

This concept involves translating quantities from one metric unit to another by using conversion factors. In the metric system, units such as tons, kilograms, and grams are related by factors of 10, making it straightforward to convert between them by multiplying or dividing by powers of 10.

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