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1 Converting with DA: 1 Step

Last updated about 1 month ago
16 questions
Note from the author:

Big Ideas

  • In this lesson we will learn how to convert quantities from one unit to another using dimensional analysis (DA).
  • Converting changes the units but NOT the type of quantity - so a time can be converted from hours into minutes, but a distance cannot be converted into a time!
  • The conversion factor will be provided for you in the question.

Tips

  • First, set up a "train tracks" with two columns! ⎯|⎯|
  • The given number and unit go in the first column on the top row of your train tracks.
  • Next, use the conversion factor provided in the question to fill in the second column, with the units placed so that the original unit will get canceled out!
  • Finally, cancel any units that are on both top and bottom, then multiply any numbers in the top row and divide by any numbers on the bottom row to get your answer!

Big Ideas

  • In this lesson we will learn how to convert quantities from one unit to another using dimensional analysis (DA).
  • Converting changes the units but NOT the type of quantity - so a time can be converted from hours into minutes, but a distance cannot be converted into a time!
  • The conversion factor will be provided for you in the question.

Tips

  • First, set up a "train tracks" with two columns! ⎯|⎯|
  • The given number and unit go in the first column on the top row of your train tracks.
  • Next, use the conversion factor provided in the question to fill in the second column, with the units placed so that the original unit will get canceled out!
  • Finally, cancel any units that are on both top and bottom, then multiply any numbers in the top row and divide by any numbers on the bottom row to get your answer!
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1

What number & unit should be place here?

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1

What number & unit should be place here?

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1

Final answer with units?

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1

What number & unit should be place here?

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1

What number & unit should be place here?

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1

Final answer with units?

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1

What number & unit should be place here?

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1

What number & unit should be place here?

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1

Final answer with units?

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1

What number & unit should be place here?

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1

What number & unit should be place here?

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1

Final answer with units?

For the following problems, practice writing out the dimensional analysis on your own using the fraction or line method. You do not need to submit any work. Include units in your final answer.
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1

A beaker of liquid has a mass of 944 g. Given that 1 kg = 1000 g, what is the beaker's mass in kg?

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1

A beaker contains 0.643 L of liquid. Given that 1 L = 1000 mL, how many mL of liquid does the beaker contain?

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1

A sealed flask contains air at a pressure of 1850 torr. Given that 1 atm = 760 torr, what is the pressure of the air in the flask in atm?

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1

A balloon contains air at a pressure of 1.42 atm. Given that 1 atm = 101 kPa, what is the pressure of the air in the balloon in kPa?