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.)
Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 106
Determine the number of picoseconds in 2.0 hours.
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Convert hours to seconds using the conversion factor: 1 hour = 3600 seconds.
Calculate the number of seconds in 2.0 hours by multiplying 2.0 hours by 3600 seconds/hour.
Understand that 1 second is equal to 10^{12} picoseconds.
Convert the number of seconds obtained in step 2 to picoseconds by multiplying by 10^{12} picoseconds/second.
Combine the calculations to express the total number of picoseconds in 2.0 hours.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Time Conversion
Time conversion involves changing a measurement from one unit to another, such as hours to seconds or picoseconds. Understanding the relationships between different time units is essential for accurate conversions. For example, 1 hour equals 3600 seconds, and knowing these relationships allows for straightforward calculations.
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Conversion Factors
Understanding Picoseconds
A picosecond is a unit of time equal to one trillionth of a second (10^-12 seconds). It is commonly used in fields like physics and chemistry to measure extremely short time intervals, such as the duration of chemical reactions or the speed of light. Recognizing the scale of picoseconds is crucial for converting larger time units into this smaller measurement.
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Understanding Nuclear Reactions
Dimensional Analysis
Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that express the relationship between different units. This method ensures that units cancel appropriately, leading to the desired unit in the final answer. It is a powerful tool in chemistry for solving problems involving unit conversions.
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Dimensional Analysis
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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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At what temperatures are the readings on the Fahrenheit and Celsius thermometers the same?
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Suppose you design a new thermometer called the X thermometer. On the X scale, the boiling point of water is 130 °X, and the freezing point of water is 10 °X. At what temperature are the readings on the Fahrenheit and X thermometers the same?