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Organized method of problem-solving Used in chemistry, physics, engineering, and medicine Communicates the path to scientists that follow your work Records your own path for your

Dimensional Analysis

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Dimensional Analysis. Organized method of problem-solving Used in chemistry, physics, engineering, and medicine Communicates the path to scientists that follow your work Records your own path for your future use. Dimensional Analysis. Calculate the number of minutes in 3.61 hours . - PowerPoint PPT Presentation

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Page 1: Dimensional Analysis

•Organized method of problem-solving •Used in chemistry, physics, engineering, and medicine•Communicates the path to scientists that follow your work•Records your own path for your future use

Page 2: Dimensional Analysis

• Calculate the number of minutes in 3.61 hours.*Note: Use the number given in the question to determine the

number of sig figs in your answer.

1. Write the given.

2. Draw the chart.

Page 3: Dimensional Analysis

• Calculate the number of minutes in 3.61 hours.*Note: Use the number given in the question to determine the

number of sig figs in your answer.

3. Think of a relationship: 1 hr = 60 min

4. Divide the relationship in ½ at the = sign.5. Cancel units diagonally.

Page 4: Dimensional Analysis

• Calculate the number of minutes in 3.61 hours.*Note: Use the number given in the question to determine the

number of sig figs in your answer.

6. Add the rest of the relationship.

7. Count sig figs in the given. Round the answer to that number of sig figs.

Page 5: Dimensional Analysis

How many centimeters are in 4.2 inches?*Note: Use the number given in the question to determine the

number of sig figs in your answer.

Page 6: Dimensional Analysis

How many centimeters are in 4.2 inches?*Note: Use the number given in the question to determine the

number of sig figs in your answer.

Page 7: Dimensional Analysis

Calculate the number of seconds in two weeks.

Realize that we don’t know just one step from weeks to seconds.

Page 8: Dimensional Analysis

Calculate the number of seconds in two weeks.

Start as usual.

Page 9: Dimensional Analysis

Calculate the number of seconds in two weeks.

Extend your table.

Page 10: Dimensional Analysis

Calculate the number of seconds in two weeks.

Continue adding relationships.

Page 11: Dimensional Analysis

Calculate the number of seconds in two weeks.

Add as many conversions as needed.

Round to 1 sig fig.

Page 12: Dimensional Analysis

Convert the density of 0.58 g/mL to lb/gallon. (1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)

Notice the use of the bottom space.

Page 13: Dimensional Analysis

Convert the density of 0.58 g/mL to lb/gallon. (1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)

Ignore the bottom unit for a moment.Concentrate on converting the top unit.

Page 14: Dimensional Analysis

Convert the density of 0.58 g/mL to lb/gallon. (1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)

Continue converting the top.

Stop when you get to lb…the goal.

Page 15: Dimensional Analysis

Convert the density of 0.58 g/mL to lb/gallon. (1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)

Now, focus on the bottom units.

It is OK to cancel units from a distance.

Page 16: Dimensional Analysis

Convert the density of 0.58 g/mL to lb/gallon. (1 L = 1.057 qt and 4 qt = 1 gal; 1kg = 2.2 lb)

Continue adding until you reach the goal.

Page 17: Dimensional Analysis

If a pound of apples costs $0.79, then 5.3 lbs will cost _________.

Give your answer to TWO decimal places which is customary with

money.

Page 18: Dimensional Analysis

1849 yards = __________ miles

Hint: 5280 ft = 1 mileGive your answer to 4 sig figs.

Page 19: Dimensional Analysis

If Boston and New York City are 190 miles apart, then the distance

between the two cities is _______ km.

Hint: 1 km = 0.621 milesGive your answer to TWO sig figs.

Page 20: Dimensional Analysis

If a pound of apples costs $0.79, then a shopper with $2.00 will be able to purchase ________ lbs of

apples.

Give your answer to THREE sig figs.

Page 21: Dimensional Analysis

If a US car advertisement brags that an SVU gets 26 miles/gallon on the

highway, then the same car would be described in Europe as getting

___________ km/L.

Hint: 1 L = 1.057 qt; 4 qt = 1 gal; 1 km = 0.621 miles

Give you answer to TWO sig figs.