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When given a problem to convert two units of measurements, such as converting 10km to centimeters, how do I figure out how many centimeters are in a kilometer?
Another example - how many millimeters are in a centimeter?
I don't understand unit conversion problems at all. I have some sample problems that were given to me to practice, but I don't know how to do approach them. I put them down below, since it didn't let me attach the document.
1.) Given that 1 inch (in) is equal to 2.54 cm, how many inches are in 12.1 cm?
2.) A new penny has a mass of 2.49 g. What is this mass in pounds (lb)? Note: 1 kg = 2.205 lb.
3.) In the famous Pokémon Go app, a person needs to physically walk 10.00 km in order to hatch an egg. Convert this distance to the following units:
(a) miles (1 mi = 1.609 km)
(b) centimeters
(c) feet (1 m = 3.28 ft)
4.) Perform the following unit conversions:
(a) 138 mi2 to km2 (1 mi = 1.609 km)
(b) 6050 cm3 to m3
(c) 2.75 L to in3 (1 in = 2.54 cm)
5.) A 417 cm3 sample of ethylene glycol (antifreeze) has a mass of 463 g. What is the density of ethylene glycol in g/cm3?
6.) Acetone (nail polish remover) has a density of 0.7857 g/cm3. What is the mass (in g) of 177.4 mL of acetone?
7.) The boiling point of ethanol is 351.52 K. What is the boiling point in °C and °F?
8.) A sick child has a temperature of 104.00 °F. What is the child’s temperature in °C and K?
9.) A television uses 90.0 MJ of energy per year. How many kcal does it use?
10.) Suppose that a person eats a diet of 2,387 Cal per day. What is this energy in J?
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- The density of a metal is 8.67 g/cm. How many pounds are in 298.86 in of the metal? (You can use the conversion factor approach. Or, you can convert density in g/cm? to Ib/in and then thultiply the result times number of pounds. 2.52 cm 1 inch 454 g = 1 lb Please see 'answers to extra problems' question 10 for hints on how to do this.) You need to write your answer in the box with one number past the decimal. Please don't worry about the sig figs in this case. In these formula problems, the Canvas software will give a variety of questions and each student gets their data with different sig figs. So I just have to choose and sometimes it might seem that one past the decimal is not the correct sig figs. Nonetheless, you have to follow that direction.arrow_forwardow many gigagrams are there in 5.66×108 milligrams? Your answer should not be in scientific notation, should not include your final unit, and should be written with 3 significant figures.arrow_forwardYardsarrow_forward
- Methane gas and oxygen gas react to form water vapor and carbon dioxide gas. What volume of water would be produced by this reaction if 2.6 mL of methane were consumed? Also, be sure your answer has a unit symbol, and is rounded to the correct number of significant digits. 0|0 X Ś x10arrow_forwardA student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate- you do not need to provide an answer for ?.) Fill in the missing part of this equation (what should go in the box). Note: your answer should be in the form of one or more fractions multiplied together.arrow_forwardHaving trouble with conversion factors. The question says write conversion factors ( as ratios) for a)kilometers in 1 mile b) Liters in 1 cubic foot c) grams in one ounce I need to understand exactly where i get the conversions from. One of the questions I looked up in the book said to do yards in a meter and the answer is 1.0936/1m. The conversion i see in the book says 1m=1.094 yd=39.36 in These problems come out of Chemistry Atoms First 2nd edition Chapter 1arrow_forward
- 12) Perform the following conversions using dimensional analysis and proper set up. Provide each answer with correct units and significant figures in the space provided. Note that you can square a length relationship to obtain an area relationship and you can cube a length relationship to obtain a volume relationship. It may be easier to treat prefixes separately. f) Convert 155 cm? to ft? Metric Prex or heters breviaion valie 10 g) Convert 7.27 m³ to ft lea s lo nu micro milli centi deci miles pounds mi 109 10 h) Convert 126 m³ to L 10: quarts deka hecto da 10 gallons 10arrow_forwardSetting up a one-step unit conversion. Only need the answer to the rectangle box.arrow_forwardHonestly i'm really confused on even where to start? Do I need to use the density formula?arrow_forward
- Methane gas and chlorine gas react to form hydrogen chloride gas and carbon tetrachloride gas. What volume of hydrogen chloride would be produced by this reaction if 9.94 m² of methane were consumed? Also, be sure your answer has a unit symbol, and is rounded to 3 significant digits. 0 8 0.0 X 0x10 5 ? O 000 Ararrow_forwardO MEASUREMENT Setting up a unit reprefix conversion A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (0.030 cm) ? km Explanation Check x10 ロ･ロ X m 3 00 tv 4 Ⓒ Farrow_forward13 A major component of gasoline is octane (C₂H₁). When liquid octane is burned in air it reacts with oxygen (O₂) gas to produce carbon dioxide gas and water vapor. Calculate the moles of oxygen needed to produce 0.70 mol of water. Be sure your answer has a unit symbol, if necessary, and round it to the correct number of significant digits. 0 80.² 0.0arrow_forward
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