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Problem Solutions - Conversions

Problem Solutions - Conversions

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Problem Solutions - Conversions

  1. 1. CHM 111 Conversions (Solutions) CH1 Math Skills Toolbox Useful Conversions: 4 qts = 1 gal; 0.946 L = 1 qt; 1 mile = 5280 ft; 1 ft = 30.5 cm 39.4 in = 1 m; 1 lb = 0.454 kg 1 in = 2.54 cm, 1 m = 102 cm 1 m = 1012 pm; 1 m = 106 µm; 1 m = 109 nm; 1 km = 103 m 1 mL = 1 cm3; °C + 273 = K K − 273 = °C Please note that METRIC conversions will NOT be given on exams or quizzes, including temperature conversions between C and K. 1. a) Convert 25 ºC to Kelvin (K). °C + 273 = K 25 °C+ 273 = 298 K b) Convert 35 ºC to Kelvin (K). °C + 273 = K 35 °C + 273 = 238 K c) Convert 154 ºC to Kelvin (K). °C + 273 = K 154 °C+ 273 = 119 K d) Convert 500 K to degrees Celsius (ºC). K − 273 = °C 500 K − 273 = 227 °C e) Convert 215 K to degrees Celsius (ºC). K − 273 = °C 215 K − 273 = 58 °C 2. a) Convert 1000 gallons to quarts 1000 gallons ( 4 qts 1 gallon ) = 4000 qts b) Convert 150. quarts to gallons 150 qts ( 1 gal 4 qts ) = 37.5 gal
  2. 2. CHM 111 Conversions (Solutions) CH1 Math Skills Toolbox c) Convert 120 miles to feet 120 miles ( 5280 ft 1 mile ) = 633600 feet or 6.3 105 feet d) Convert 753 feet to miles 753 ft ( 1 mile 5280 ft ) = 0.143 miles 3. Convert the following quantities: a) Convert 100.0 nm to m and write your answer in scientific notation. 100.0 nm( 1 m 1 × 109nm ) = 1.0 × 10−7 m b) Convert 3.0 m to nm and write your answer in scientific notation. 3.0 m( 1 × 109 nm 1 m ) = 3.0 × 109 nm c) Convert 356.0 m to nm and write your answer in scientific notation. 356.0 m( 1 × 109 nm 1 m ) = 3.560 × 1011 nm d) Convert 4.36 107 m to nm and write your answer in scientific notation. 4.36 ×10 -7 m( 1 × 109 nm 1 m ) = 4.36 × 102 nm e) Convert 233 m to cm and write your answer in scientific notation. 233 m( 1 × 102 cm 1 m ) = 2.33 × 104 cm f) Convert 2.76 cm to m and write your answer in scientific notation. 2.76 cm( 1 m 1 × 102cm ) = 2.76 × 10−2 m
  3. 3. CHM 111 Conversions (Solutions) CH1 Math Skills Toolbox g) Convert 2.76 pm to m and write your answer in scientific notation. 2.76 pm( 1 m 1 × 1012pm ) = 2.76 × 10−12 m h) Convert 211 m to pm and write your answer in scientific notation. 211 m( 1 × 1012 pm 1 m ) = 2.11 × 1014 pm i) Convert 4.34 µm to m and write your answer in scientific notation. 4.34 µm( 1 m 1 × 106µm ) = 4.34 × 10−6 m j) Convert 364.7 µm to m and write your answer in scientific notation. 364.7 µm( 1 m 1 × 106µm ) = 3.647 × 10−4 m k) Convert 153 m to µm and write your answer in scientific notation. 153 m ( 1 × 106 µm 1 m ) = 1.53 × 108 µm 4. Use the following conversion factors to covert the quantities below. (Think about how the set up for the problem changed based on the conversion factor used (i.e., compare to problem #3). Compare your answers to those in problem #3.)) 1  109 m = 1 nm; 1  1012 m = 1 pm; 1  102 m = 1 cm; 1  106 m = 1 µm a) Convert 100.0 nm to m and write your answer in scientific notation. 100.0 nm( 1 × 109 m 1 nm ) = 1.000 × 10−7 m b) Convert 356.0 m to nm and write your answer in scientific notation. 356.0 m ( 1 nm 1 × 109m ) = 3.560 × 1011 nm c) Convert 4.36 107 m to nm and write your answer in scientific notation. 4.36 × 10 -7 m( 1 nm 1 × 109 m ) = 436nm = 4.36 × 102 nm
  4. 4. CHM 111 Conversions (Solutions) CH1 Math Skills Toolbox d) Convert 233 m to cm and write your answer in scientific notation. 233 m( 1 cm 1 × 102m ) = 2.33 × 104 cm e) Convert 2.76 cm to m and write your answer in scientific notation. 2.76 cm( 1 × 102 m 1 cm ) = 2.76 × 10−2 m f) Convert 2.76 pm to m and write your answer in scientific notation. 2.76 pm ( 1 × 1012 m 1 pm ) = 2.76 × 10−12 m g) Convert 211 m to pm and write your answer in scientific notation. 211 m( 1 pm 1 × 1012 m ) = 2.11 × 1014 pm h) Convert 4.34 µm to m and write your answer in scientific notation. 4.34 µm( 1 × 106 m 1 µm ) = 4.34 × 10−6 m 5. a) Convert 125 mL to cm3. 125 mL ( 1 cm3 1 mL ) = 125 cm3 b) Convert 2.45 cm3 to mL. 2.45 cm3 ( 1 mL 1 cm3 ) = 2.45 mL

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