Textbook Question
Which is larger in each pair, and by approximately how much? (d) A centimeter or an inch
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Ch.1 - Chemical Tools: Experimentation & Measurement
Chapter 1, Problem 107a
A large tanker truck for carrying gasoline has a capacity of 3.4⨉104 L. (a) What is the tanker's capacity in gallons?
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Volume Conversion
Volume conversion is the process of changing a measurement from one unit to another, such as liters to gallons. In this case, understanding the conversion factor between liters and gallons is essential, as 1 liter is approximately equal to 0.264172 gallons. This knowledge allows for accurate calculations when converting the tanker's capacity.
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Common Conversion Factors
Scientific Notation
Scientific notation is a way of expressing large or small numbers in a compact form, using powers of ten. The tanker's capacity is given as 3.4⨉10^4 L, which means 34,000 liters. Familiarity with scientific notation is important for interpreting and manipulating such values in calculations.
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Dimensional Analysis
Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors. It ensures that the units cancel appropriately, leading to the desired unit in the final answer. This method is crucial for solving the problem, as it allows for the systematic conversion of liters to gallons while maintaining accuracy.
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Related Practice
Textbook Question
The density of polystyrene, a plastic commonly used to make CD cases and transparent cups, is 0.037 lbs/in3. Calculate the density in units of g/cm3.
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Textbook Question
The density of polypropylene, a plastic commonly used to make bottle caps, yogurt containers, and carpeting, is 0.55 oz/in3. Calculate the density in units of g/cm3
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Textbook Question
A large tanker truck for carrying gasoline has a capacity of 3.4⨉104 L. (b) If the retail price of gasoline is $3.00 per gallon, what is the value of the truck's full load of gasoline?
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Textbook Question
A 1.0-ounce piece of chocolate contains 15 mg of caffeine, and a 6.0-ounce cup of regular coffee contains 105 mg of caffeine. How much chocolate would you have to consume to get as much caffeine as you would from 2.0 cups of coffee?
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Textbook Question
When an irregularly shaped chunk of silicon weighing 8.763 g was placed in a graduated cylinder containing 25.00 mL of water, the water level in the cylinder rose to 28.76 mL. What is the density of silicon in g/cm3?
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