Total U.S. farmland occupies 954 million acres. How many square miles is this? (1 acre = 43,560 ft2, 1 mi = 5280 ft). Total U.S. land area is 3.537 million square miles. What percentage of U.S. land is farmland?
Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 105
There are exactly 60 seconds in a minute, exactly 60 minutes in an hour, exactly 24 hours in a mean solar day, and 365.24 solar days in a solar year. How many seconds are in a solar year? Give your answer with the correct number of significant figures.
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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 set of units to another. In this question, we need to convert minutes to seconds and hours to seconds, which involves multiplying by the appropriate conversion factors (60 seconds in a minute and 60 minutes in an hour). Understanding how to systematically convert units is essential for solving problems involving different measurements.
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Conversion Factors
Significant Figures
Significant figures are the digits in a number that contribute to its precision. When performing calculations, especially in chemistry, it is crucial to maintain the correct number of significant figures based on the precision of the given data. In this question, the final answer must reflect the significant figures of the least precise measurement, which is 365.24 days, ensuring the answer is reported accurately.
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Significant Figures Example
Time Measurement
Time measurement involves understanding the relationships between different time units, such as seconds, minutes, hours, and days. In this question, we need to recognize that there are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. This knowledge is fundamental for calculating the total number of seconds in a solar year by sequentially applying these relationships.
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An acetaminophen suspension for infants contains 80 mg/0.80 mL suspension. The recommended dose is 15 mg/kg body weight. How many mL of this suspension should be given to an infant weighing 14 lb? (Assume two significant figures.)
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Textbook Question
An ibuprofen suspension for infants contains 100 mg/5.0 mL suspension. The recommended dose is 10 mg/kg body weight. How many mL of this suspension should be given to an infant weighing 18 lb? (Assume two significant figures.)
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Textbook Question
Determine the number of picoseconds in 2.0 hours.
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Classify each property as intensive or extensive. a. volume b. boiling point c. temperature d. electrical conductivity e. energy
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Textbook Question
At what temperatures are the readings on the Fahrenheit and Celsius thermometers the same?
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