A large tanker truck for carrying gasoline has a capacity of 3.4⨉10 4 L. (a) What is the tanker's capacity in gallons?

Step 1: Understand that the problem is asking to convert a volume from liters to gallons. The conversion factor between liters and gallons is 1 gallon = 3.78541 liters.. Step 2: Set up the conversion factor in such a way that the unit you want to convert to (gallons) is on top and the unit you want to convert from (liters) is at the bottom. This will allow the liters to cancel out, leaving you with the desired unit (gallons).. Step 3: Multiply the given volume in liters (3.4⨉10 4 L) by the conversion factor. Remember to place the conversion factor in such a way that the liters cancel out.. Step 4: Perform the multiplication and division operation to get the volume in gallons. The liters will cancel out, leaving you with the volume in gallons.. Step 5: Check your answer to make sure it makes sense. The volume in gallons should be less than the volume in liters because 1 gallon is larger than 1 liter.

A large tanker truck for carrying gasoline has a capacity of 3.4⨉10 4 L. (a) What is the tanker's capacity in gallons?

Calculate the amount of wine and leaders that can be held in a wine barrel with a capacity of 28.7 gallons here are given conversion factors that one gallon equals four quarts and more importantly, it equals 3.7854 L. Now here, we can just say that the direct conversion factor that we need is gallons to leaders. So we're starting out here with 28.7 gallons And we're gonna say here our conversion factor is one gallon is 3. l gallons cancel out. And when I work out the math, I get 108.64 L which when we do it to 36 fix comes out to 109 liters. This gives me option a as our correct answer.

A large tanker truck for carrying gasoline has a capacity of 3.4⨉104 L. (a) What is the tanker's capacity in gallons?

Step 1: Understand that the problem is asking to convert a volume from liters to gallons. The conversion factor between liters and gallons is 1 gallon = 3.78541 liters. Step 2: Set up the conversion factor in such a way that the unit you want to convert to (gallons) is on top and the unit you want to convert from (liters) is at the bottom. This will allow the liters to cancel out, leaving you with the desired unit (gallons). Step 3: Multiply the given volume in liters (3.4⨉10 4 L) by the conversion factor. Remember to place the conversion factor in such a way that the liters cancel out. Step 4: Perform the multiplication and division operation to get the volume in gallons. The liters will cancel out, leaving you with the volume in gallons. Step 5: Check your answer to make sure it makes sense. The volume in gallons should be less than the volume in liters because 1 gallon is larger than 1 liter.

Ch.1 - Chemical Tools: Experimentation & Measurement

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McMurry 8th Edition

Ch.1 - Chemical Tools: Experimentation & Measurement

Problem 107a

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?

Verified step by step guidance

Step 1: Understand that the problem is asking to convert a volume from liters to gallons. The conversion factor between liters and gallons is 1 gallon = 3.78541 liters.

Step 2: Set up the conversion factor in such a way that the unit you want to convert to (gallons) is on top and the unit you want to convert from (liters) is at the bottom. This will allow the liters to cancel out, leaving you with the desired unit (gallons).

Step 3: Multiply the given volume in liters (3.4⨉10⁴ L) by the conversion factor. Remember to place the conversion factor in such a way that the liters cancel out.

Step 4: Perform the multiplication and division operation to get the volume in gallons. The liters will cancel out, leaving you with the volume in gallons.

Step 5: Check your answer to make sure it makes sense. The volume in gallons should be less than the volume in liters because 1 gallon is larger than 1 liter.

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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.

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.

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.