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Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 39

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.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

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.
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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.
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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.
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Related Practice
Textbook Question

(a) After the label fell off a bottle containing a clear liquid believed to be benzene, a chemist measured the density of the liquid to verify its identity. A 25.0-mL portion of the liquid had a mass of 21.95 g. A chemistry handbook lists the density of benzene at 15 °C as 0.8787 g/mL. Is the calculated density in agreement with the tabulated value?

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Textbook Question

(b) An experiment requires 15.0 g of cyclohexane, whose density at 25 C is 0.7781 g>mL. What volume of cyclohexane should be used?

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Textbook Question

(c) A spherical ball of lead has a diameter of 5.0 cm. What is the mass of the sphere if lead has a density of 11.34 g>cm3? (The volume of a sphere is 14>32pr3, where r is the radius.)

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Textbook Question

Use of the British thermal unit (Btu) is common in some types of engineering work. A Btu is the amount of heat required to raise the temperature of 1 lb of water by 1°F. Calculate the number of joules in a Btu.

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Textbook Question

A watt is a measure of power (the rate of energy change) equal to 1 J/s. (b) An adult person radiates heat to the surroundings at about the same rate as a 100-watt electric incandescent light bulb. What is the total amount of energy in kcal radiated to the surroundings by an adult over a 24 h period?

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Textbook Question

Indicate which of the following are exact numbers: (a) the mass of a 3- by 5-in. index card, (b) the number of ounces in a pound, (c) the volume of a cup of Seattle's Best coffee, (d) the number of inches in a mile, (e) the number of microseconds in a week, (f) the number of pages in this book.

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