Warmup (5 min) 1. A 9.01 cm3 sample of gasoline has a density of 0.93 kg/cm3. Calculate the mass. d = m/v, so use m = dv m = (0.93 kg/cm3) (9.01 cm3 ) = 8.4 kg gasoline 2. In its lifetime, a snail will travel an average of 649,000 inches. What is this distance in meters? (done later in class)
You need your unit handout today! Unit Conversions You need your unit handout today! Calculator! You need to know the metric prefixes and how they relate to the base units (liters, grams, and meters). Ex. centi means 102 You need to know the common unit relationships that come up a lot during homework and sample problems.
1. 200 milliliters (ml) is how many liters (L)? Step 1: Set up a conversion problem, starting with the number and units given. 200 ml ( ) = L ( ) Step 2: Put the units that I need to cancel on the bottom and the units that I want in the top. Step 3: What is the relationship between the units? Put the numbers in. Step 4: Multiply across the top and divide by the bottom, and then SUB: sig figs, units, and box. 1 L 0.2 1000 ml 1 L = 1000ml
2. Convert 678 kilograms to pounds Step 1: Set up a conversion problem, starting with the number and units given. 678 kg ( ) = lb ( ) Step 2: Put the units that I need to cancel on the bottom and the units that I want in the top. Step 3: What is the relationship between the units? Put the numbers in. Step 4: Multiply across the top and divide by the bottom, and then SUB: sig figs, units, and box. Round to sig figs from problem, not from the unit relationship 2.2 lb 1490 1 kg 1 kg = 2.2 lb
3. A 34 deciliter water sample is collected from a river 3. A 34 deciliter water sample is collected from a river. What is this volume in nanoliters? 34 dL ( ) = 1 L ( nL ) 109 3.4 x 109 nL ( L ) 10 dL 1
4) A block at one particular high school lasts 61 minutes 4) A block at one particular high school lasts 61 minutes. How long is this amount of time in days? 61 min = day (1 ) hr ( 1 ) day 0.042 (60 ) min (24 ) hr
7.80 x 10-4 oz ( g) 1 ( kg) = 1 2.21 x 10-5 kg ( oz) 0.0353 ( g) 1000 5. My cat’s Halloween costume weighs 7.80 x 10-4 ounces. Convert this mass to kilograms. 7.80 x 10-4 oz ( g) 1 ( kg) = 1 2.21 x 10-5 kg ( oz) 0.0353 ( g) 1000
6) In its lifetime, a snail will travel an average of 649,000 inches 6) In its lifetime, a snail will travel an average of 649,000 inches. What is this distance in meters? 649000 in = m (1 ) m (2.54 ) cm 1.65 x 104 (1 ) in (100 ) cm
(1 ) in (1 ) in (1 ) in (2.54 ) cm (2.54 ) cm (2.54 ) cm 7) Now that you are a millionaire, you decide to build a swimming pool that holds 567 cm3 of water. What is this volume in cubic inches? 567 cm3 = in3 (1 ) in (1 ) in (1 ) in 34.6 (2.54 ) cm (2.54 ) cm (2.54 ) cm x3 does not equal x x3 = (x)(x)(x)
Because there are 100 cm in 1 m, you might think there are 100 cm3 in 1 m3 Actually, this shows that there are WAY MORE cm3 in 1 m3 1 m3 = 1,000,000 or 1 x 106 cm3
(106 ) ul (1 ) L ( 1 ) g ug (1 ) ul (1 ) L (100 ) cl (106 ) 8. Convert 67.8 ug /ul to g/cl 67.8 ug = g/cl (106 ) ul (1 ) L ( 1 ) g 0.678 ug (1 ) ul (1 ) L (100 ) cl (106 )
gal ( 1 ) (1 ) km (1 ) gal mi (3.785 ) L (0.62 ) 32 mi = km/L gal ( 1 ) (1 ) km 13.6 but rounds to 14 (1 ) gal mi (3.785 ) L (0.62 ) 9. Your car gets 32 miles to the gallon of gasoline in highway travel. Your cousin from France gets 14 kilometers to the liter in his car. Which car has the better gas mileage?
4) Use scratch paper, calculator, unit sheets (round 2 cards) Metric Match Game 1) Lab groups 2) Count: 16 cards 3) Purpose: arrange the cards in a 4 X 4 rectangle by correctly matching up the measurement conversions on cards. **every side of a rectangle that touches another side must have a correct metric equivalent 1200 mL 1.2 L 6.2 gal 23 L 4) Use scratch paper, calculator, unit sheets 5) Show me when you’re done.
Start making Unit matching game! See directions. We will continue next class.