Worksheet 2-1 CALCULATOR PRACTICE



WKS 2.1 - Temperature, Scientific Notation, and Significant Figures (1 page)

Temperature Calculations

1. Convert -213 °C to Kelvin. (60 K)

2. Convert 455 K to °C. (182°C)

3. Calculate the temperature change between an initial temperature of 60°C and a final temperature of 258 K. (-75 K or °C change)

Scientific Notation

1. Expand 5.58 X 102

2. Convert 0.000312 to S.N.

3. Correct 8443 X10-5

4. Correct 356.7 X 105

5. Convert 1045 to S.N.

6. Convert 134.50 to S.N.

7. Expand 9.002 X 107

8. Convert 7.000 000 000 to S.N.

9. Expand -6.3 X 10-4

10. Correct 0.0001348 X 103

11. Correct 0.0472 X 10-4

12. Convert -103 700 to S.N.

13. Convert 0.0775 to S.N.

14. Expand 1.11111X 10-6

15. Correct 31.673 X 10-3

16.Correct 0.002002 X 10-1

Perform the following calculations and express your answer in correct Scientific Notation.

17. 3.0 X 102 times 2.0 X 103

18. 8.0 X 103 squared

19. -5.00 X 10-2 times 100

20. 9.0 X 107 divided by 3.0 X 103

21. 2.4 X 1012 divided by 4.8 X 10-4

22. Divide 4.0 X 10-65 by 12.0 X 10-31

How many significant figures are in each of the quantities listed below?

__________ a) 454 g _______ e) 3 x 108 m/s _______ i) 1.20 x 10-3 kPa

__________ b) .0353 mL _______ f) .00030400 km _______ j) .0700 mg

__________ c) 39.0000 m _______ g) 29000 µL _______ k) 5.000 moles

__________ d) 6.02 x 1023 atoms C _______ h) 10.00 cL _______ l) 12020 mg

Round off the given quantity 3.798079 grams to the number of significant figures indicated:

one _____________ three ____________ five _________________

two _____________ four ____________ six _________________

WKS 2.2 - Rounding and Sig Figs (1 page)

Above or next to each value in the problem, write the number of significant figures in the value. Next, write in the blank the number of significant figures your answer should contain. Then, complete the calculations on your calculator and report your answer in the correct number of significant figures. Be careful about order of operations on your calculator! In no particular order, the answers can be found at the bottom of the page to double-check your answers.

SF: _______ ANSWER: __________________________1. (875) (9632) (458)

----------------------------------------- =

(62.118) (647.3) (623)

SF: _______ ANSWER: __________________________2. (735) (118)

-------------------------------------- =

(310.4) (0.00140) (218)

SF: _______ ANSWER: __________________________3. (37.45)(1.492) =

SF: _______ ANSWER: __________________________4. (2.75 X 106) (3.1 X 10-4)

---------------------------------------------- =

(9.84 X 10-3) (7.23 X 104)

SF: _______ ANSWER: __________________________5. (6.809 x 1012 ) / (2.379 x 10-5) / (1.209 x 109) =

SF: _______ ANSWER: __________________________6. (1.020) (0.00314) (17.00) =

SF: _______ ANSWER: __________________________7. 1.00

-------------------------------------- =

(1.02) (-2.05)

SF: _______ ANSWER: __________________________8. (3792)2 (16)4 (0.0356)6 =

WKS 2.3 - Daring Dimensional Analysis (2 pages)

You must show the dimensional analysis set-up in order to earn credit!!! NO WORK = NO CREDIT (

|1 hogshead = 7 firkin |1 torr = 1 mm Hg |1 erg = 1 x 10─7 Joules (J) |

|18 pottie = 1 firkin |1 atm = 101325 pascal (Pa) |1 BTU = 1055 J |

|140 pottie = 1 puncheon |1 atm = 760 torr |1 oz = 16 dram |

|504 pottie = 1 tun |1 calorie = 4.184 J |1 dram = 27.343 grain |

|15 groans = 1 grunt |1 mile = 5280 ft |1 pennyweight = 24 grains |

|1 pain = 20 grunts |1 rod = 5.50 yards |1 dram = 3 scruples |

|1 hurt = 8 pains |1 furlong = 220 yards |1 pint = 4 gills |

|1 fot = 5 vum |2 fardells = 1 nooke |4 quarts = 1 gallon |

|2 sop = 3 tuz |4 nookes = 1 yard |1 bushel = 4 pecks |

|4 bef = 3 tuz |4 yards = 1 hide |1 peck = 8 quarts |

|9 fot = 2 bef |0.943 liters = 1 quart |1 lb = 454 grams (g) |

|1 inch = 2.54 cm |1 mile = 1.61 Km |1 lb = 16 oz |

|1 xack = 7 bips |4 tolls = 3 smacks |12 toils = 1 lardo |

|5 smacks = 1 bip |8 lardos = 7 fleas |1 inch = 2.54 cm |

1. In medieval Britain, property was often measured in units such as fardells, nookes, yards, and hides. One of the knights of the round table owned ocean front property that was 85.5 yards long. How many fardells did the knight own? (684 fardells)

2. My grandma used to tell me she loved me a bushel and a peck and a hug around the neck. If she loved me 8 bushels and 12 pecks, how many gallons of love is that? (88 gal)

3. If you drank a big gulp of Mountain Dew (44 oz), how many pennyweights worth of the Dew did you do? (8.0 x 102 pennyweight)

4. The pressure inside a plasma etch chamber used to remove material from the surface of a wafer in the manufacture of computer chips is 152 mTorr (1 mTorr = 1 x 10─3 Torr). What is the pressure in Pascals? (20.3 Pa)

WKS 2.3 - Daring Dimensional Analysis (continued)

5. You are in charge of the Halloween party and have been told you need to purchase 5 hogsheads of apple cider. How many puncheon of cider do you need to have on hand? (4.5 puncheon or since a count, really need at least 5 puncheon on hand)

6. You are in the country of Denzalot and are desperate for a cup of coffee. If a cup of coffee costs 12.0 sop, how many Allendale fot would you need to exchange? (108 fot)

7. What is the cost of 60 onions if 3 onions weigh 1.50 pounds and the price of onions is $0.15 per pound? Give your answer in dollars and cents. ($4.50)

8. If pecans sell for $3.00 per pound and there are 127 pecans per pound, how many pecans can you buy for $14.12? (597 pecans)

9. Conscious Cup sells El Salvador Rain Forest Alliance Coffee for $14.95/lb. How much would 576 scruples of coffee cost? Give your answer in dollars and cents. ($11.21 cents)

10. If gasoline in Canada is $0.29 per liter and you fill your 20.0 gallon tank, how much change will the gas station attendant give you back if you hand him $23.00? Give your answer in dollars and cents. ($ 1.05 change)

WKS 2.4 - Metric to Metric (1 page)

You must show the dimensional analysis set-up in order to earn credit!!! NO WORK = NO CREDIT (

____________1. 145 centimeters to kilometers (1.45 X 10-3 km)

____________ 2. How many micrograms are there in 2.45 X 102 grams? (2.45 X 108 (g)

____________ 3. How many centimeters are there in 362 millimeters? (36.2 cm)

____________ 4. When you convert 48.2 micrograms to kilograms, you get _(?)_kg. (4.82 X 10-8 kg)

____________ 5. 4632 liters is the same as _(?)_ nanoliters. (4.632 X 1012 nL)

____________ 6. Convert 2.11 X 106 micrograms to kilograms. (2.11 X 10-3 kg)

____________7. Convert 1.47 X 10-2 kL to mL. (1.47 X 104 mL)

_____________8. Which is the greater mass—0.007960 grams or 0.7960 mg? Prove your answer.

(0.007960 g)

WKS 2.5 - Double Conversions & Other Practice!

You must show the dimensional analysis set-up in order to earn credit!!! NO WORK = NO CREDIT (

__________________ 1. I can ride my bicycle at a velocity of 5.655 X 106 µm/sec. Is this fast or slow?

Prove your answer by converting into km/hr. (20.36 km/hr – PRETTY GOOD!)

__________________ 2. You may have learned in the 6th grade that the speed of light in a vacuum is 186000 miles per second. Now you are in high school chemistry, and you really need to know the speed of light in proper SI units. What is the speed of light in a vacuum in meters per second? Hint: 1.61 km = 1 mile. (2.99 X 108 meters/second)

___________________ 3. A solution of barium nitrate contains 61.2 grams per liter of solution. What would this amount be in micrograms per milliliter? (6.12 x 104 micrograms/milliliter)

___________________ 4. A public school district furnishes pencils to its elementary students. The pencils the secretary orders from the district warehouse each year are packaged in boxes that contain one gross (12 dozen = 1 gross) pencils. The average use of pencils is 9.3 pencils per student over the school year. If the school's enrollment is 812 students, what is minimum number of boxes of pencils that should be ordered? (53 boxes)

___________________ 5. A barbecue is being planned for 175 people. The ice cream sandwiches for desert cost $4.68 per dozen. It is assumed that the average number of sandwiches eaten per person will be 1.25. What will it cost to buy ice cream sandwiches for the barbecue to feed the 175 people? Give your answer in dollars and cents. ($85.31)

WKS 2.6 - Pressure Conversions (1 page)

1. Convert a pressure of 1.34 atmospheres to Pascals. (1.36 X 105 Pa)

2. Convert a pressure of 466 torr to millimeters of mercury. (466 mm Hg)

3. Which is a greater pressure, 738 torr or 0.846 atm? (738 torr)

4. Convert a pressure of 112.7 Pa to torr. (0.8455 torr)

5. Convert a pressure of 170.88 kPa to atmospheres. (1.6869 atm)

6. Convert a pressure of 455 mm Hg to atm. (0.599 atm)

7. Convert a pressure of 980 torr to kPa. (131 kPa)

8. The pressure of a gas changes from 736 torr to 1.34 atm. How much did the pressure increase in Pascals? (3.76 X 104 Pa)

9. The pressure of a gas changes from 120.5 Pa to 860 mm Hg. Did the pressure increase or decrease and by how many torr? (increase of 859 torr)

WKS 2.7 - Density (1 page)

1. If an unknown solid weighs 84.0grams and occupies 27.9 cm3 of space, what is its density? (3.01 g/cm3 )

2. What is the mass of a liquid having a density of 1.40 g/mL and a volume of 3090 mL? (4.33 x 103 g)

3. What volume would a 200.-gram sample of gold have if its density is known to be 19.3 g/cm3 ? (10.4 cm3 )

4. A solid block of substance is 74.0 cm by 55.0cm by 35.0 cm and it weighs 569 kg. Assuming that it did not chemically react with water nor dissolve in it, would it float in water? JUSTIFY YOUR ANSWER AND SHOW YOUR WORK!! (Density = 3.99 g/cm3; therefore, no, it is too dense to float in water)

5. A block of wood is 14.0 cm by 20.0mm by 0.025 meters and weighs 63.1 grams. What is the density of this wood in g/cm3 ? (0.90 g/cm3 )

6. A certain liquid has density of 0.732 g/mL. How many LITERS would weigh 1.00kg? (1.37 L)

7. How many POUNDS would 750 cm3 of lead weigh if its density is 11.34 g/cm3 ? There are 454 grams in a pound. (19 lbs)

WKS 2.8 – More Density! (1 page)

1. Which substance has the LEAST density – Substance “A” weighs 40.2 grams and has a volume of 5.7 cm3 and Substance “B” has a volume of 6.3 cm3 and weighs 42.0 grams? SHOW YOUR WORK!! ( A = 7.1 g/cm3 ; B = 6.67 g/cm3 ; therefore,B)

2. A sample of zinc has a density of 7.14 g/cm3 and occupies a space of 104.5 cm3 . Does this sample of zinc weigh more or less than a pound? There are 454 grams in a pound. SHOW YOUR WORK!! (mass = 746g; more)

3. Iddy Otic constructed a raft which weighed 572 pounds and had dimensions of 12.0 ft by 5.00 ft. by 0.200 ft. Would this raft float in water? There are 454 grams in a pound, and 2.54 cm in an inch. SHOW YOUR WORK! ( yes, density = 0.764 g/cm3 )

4. A graduated cylinder filled with water has an initial volume of 45.89 mL and a mass of 129.86 grams. A rock is placed in it, changing the volume to 59.56 mL and its mass to 198.67 grams. What is the density of the rock?

(5.034 g/mL)

5. Anna Lyst is trying to find the density of an unknown solid substance. She knows that it does not dissolve in water nor chemically react with it. She puts a piece of weighing paper on the balance and finds it to weigh 1.75 grams. Then she places the unknown substance on the weighing paper, and the combined mass of the paper and the solid is 9.33 grams. The initial volume reading on her graduated cylinder is 84.18 mL. She then submerges the unknown. The meniscus now reads 85.60 mL. What is the density of the unknown substance? (5.34 g/cm3 )

6. Kim Istree has a liquid unknown which fills a graduated cylinder to the 35.0 mL mark. She places the graduated cylinder with liquid in it on the balance, and it weighs 71.00 grams. Then she empties the graduated cylinder, washes it, dries it and weighs it again. The empty cylinder weighs 37.40 grams. What is the density of the unknown liquid? (0.960 g/mL)

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Answers to questions above (in no particular order):

1.2 - 0.478 916 5.44 x 10-2

55.88 1900 154 2.367 x 108

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