A large tanker truck for carrying gasoline has a capacity of 3.4⨉10 4 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?

Hey everyone, we're told a fuel tanker truck has a capacity of 3.5 times cents of third gallons. What is the complete cargo of fuel in the truck worth if the retail price of gallon is $4.75 per gallon. So essentially our pathway here is going to be from gallons into dollars. Using our dimensional analysis, we're going to start off with 3.5 times 10 to the third gallons. Next we were told that her one gallon, It will cost $4.75. So when we calculate this out and cancel out our unit, we end up with a total of $17, and this will be our final answer. Now, I hope that made sense and let us know if you have any questions.

Ch.1 - Chemical Tools: Experimentation & Measurement

McMurry8th EditionChemistryISBN: 9781292336145Not the one you use?Change textbook

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McMurry 8th Edition

Ch.1 - Chemical Tools: Experimentation & Measurement

Problem 107b

Chapter 1, Problem 107b

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?

Verified step by step guidance

Convert the capacity of the tanker truck from liters to gallons using the conversion factor: 1 gallon = 3.78541 liters.

Calculate the number of gallons by dividing the total liters (3.4 \times 10^4 L) by the conversion factor (3.78541 L/gallon).

Determine the total value of the gasoline by multiplying the number of gallons by the price per gallon (\$3.00).

Ensure all units are consistent and check calculations for accuracy.

Summarize the process and ensure understanding of each conversion and calculation step.

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Key Concepts

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

Volume Conversion

To solve the problem, it's essential to convert the volume of gasoline from liters to gallons. The conversion factor is that 1 gallon is approximately 3.78541 liters. Understanding how to perform this conversion is crucial for calculating the total volume of gasoline in gallons.

Unit Pricing

Unit pricing involves determining the cost of a single unit of a product, in this case, the price of gasoline per gallon. Knowing the retail price allows us to calculate the total value of the gasoline by multiplying the total gallons by the price per gallon, which is a fundamental concept in economics and finance.

Multiplication for Total Value

Once the total volume in gallons is determined, the next step is to calculate the total value of the gasoline. This is done by multiplying the total number of gallons by the price per gallon. This concept of multiplication is essential for finding the total cost based on unit price and quantity.

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