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Chapter 1: Problem 39

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.

Short Answer

Expert verified
The mass of nitrous oxide emitted worldwide due to agricultural activities in the given year can be expressed as 4 Tg (tera grams).

Step by step solution

01

Convert million metric tons to metric tons

First, we need to convert the given amount from million metric tons to metric tons. As 1 million = \(10^6\), we can multiply the given amount (4 million) by \(10^6\). 4 million metric tons = 4 × \(10^6\) metric tons
02

Convert metric tons to kilograms

Now, we need to convert metric tons to kilograms. Given that 1 metric ton = 1000 kg, we can multiply the result from Step 1 by 1000. 4 × \(10^6\) metric tons × 1000 kg/metric ton
03

Convert kilograms to grams

Finally, we need to convert the result from Step 2 to grams. As 1 kg = 1000 grams, we can multiply the result by 1000. 4 × \(10^6\) metric tons × 1000 kg/metric ton × 1000 g/kg
04

Calculate and express using an appropriate metric prefix

Now, we can calculate the result and express it using an appropriate metric prefix. 4 × \(10^6\) × 1000 × 1000 g = 4 × \(10^{12}\) g The metric prefix for \(10^{12}\) is "tera," represented by the letter "T." Therefore, we can express the given mass of nitrous oxide as: 4 Tg (tera grams)

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