In the year \(2013,\) an estimated amount of 36 billion metrictons ( 1 metric ton \(=1000 \mathrm{kg}\) ) of carbon dioxide \(\left(\mathrm{CO}_{2}\right)\) was emitted worldwide due to fossil fuel combustion and cement production. Express this mass of \(\mathrm{CO}_{2}\) in grams without exponential notation, using an appropriate metric prefix.

Short Answer

Expert verified
The mass of CO₂ emitted worldwide in 2013 is approximately 36 Teragrams (Tg).

Step by step solution

01

Convert metric tons to grams

First, we need to convert the given mass from metric tons to grams. We are given that 1 metric ton is equal to 1000 kg. Furthermore, we know that 1 kg contains 1000 grams. We have: Mass in metric tons = 36 billion metric tons To convert this mass to grams, we multiply it by 1000 (to convert to kg) and again by 1000 (to convert to grams): 36,000,000,000 metric tons * 1000 kg/metric ton * 1000 g/kg = 36,000,000,000,000 g
02

Determine the appropriate metric prefix for the value in grams

Now we have the mass of CO₂ in grams, and we need to express this using an appropriate metric prefix. We have the mass in grams as 36,000,000,000,000 g. To express this using a suitable metric prefix, we need to rewrite this as a multiple of a power of 10. 36,000,000,000,000 g can be written as \(3.6 * 10^{13}\) g.
03

Express mass in grams using the appropriate metric prefix

Finally, let's express the mass of CO₂ in grams using the appropriate metric prefix associated with a power of 10. The closest metric prefix for \(10^{13}\) is Tera (T) which represents \(10^{12}\). So, we have the mass of CO₂ as \(3.6 * 10^{13}\) g, and we can divide this value by \(10^{12}\) to get the mass in Teragrams. \(3.6 * \frac{10^{13}}{10^{12}} = 3.6 * 10^1\) Teragrams. Thus, the mass of CO₂ emitted worldwide in 2013 is approximately 36 Teragrams (Tg).

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