If on a certain year, an estimated amount of 4 million metric tons (1 metric ton = 1000 kg) of nitrous oxide 1N2O2 was emitted worldwide due to agricultural activities, express this mass of N2O in grams without exponential notation, using an appropriate metric prefix.

검증된 단계별 안내

Convert the mass from metric tons to kilograms by multiplying 4 million metric tons by 1000 kg/metric ton.

Convert the mass from kilograms to grams by multiplying the result by 1000 g/kg.

Determine the appropriate metric prefix for the mass in grams. Consider that 1,000,000,000 grams is equivalent to 1 gigagram (Gg).

Express the mass in grams using the metric prefix identified in the previous step.

Ensure the final expression of the mass is clear and does not use exponential notation.

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주요 개념

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Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. In this case, we need to convert metric tons to grams. Since 1 metric ton equals 1000 kilograms and 1 kilogram equals 1000 grams, the conversion involves multiplying the number of metric tons by 1,000,000 to obtain the equivalent mass in grams.

Metric Prefixes

Metric prefixes are used to denote multiples or fractions of a unit in the metric system. For example, 'kilo-' represents a factor of 1,000, while 'mega-' represents a factor of 1,000,000. Understanding these prefixes helps in expressing large or small quantities in a more manageable form, such as using 'megagrams' instead of grams for large masses.

Mass of Nitrous Oxide (N2O)

Nitrous oxide (N2O) is a compound consisting of two nitrogen atoms and one oxygen atom. When discussing its mass, it is important to recognize that the mass of the compound can be calculated based on the number of moles and the molar mass. However, in this question, we focus on the total mass emitted, which is given in metric tons and needs to be converted to grams.