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I am extremely bad at math and I need help understanding how to do unit conversions. I have these sample problems that were given to me to practice, but I don't know how to approach them. I need very detailed, step-by-step instructions on how to approach unit conversion problems. I also need the explanations and solutions for all of these sample problems.
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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- 3 For the following questions, Perform the operation an express your answer in scientific notation with the correct number of significant figures. Do NOT put its unit in your answer because its unit is shown already in the questions. 2.67 square miles = how many m²? (hint: 1.609 km/mile) Type your answer.... 2 1 point حمر For the following questions, Perform the operation an express your answer in scientific notation with the correct number of significant figures. 8.456/0.739 = Type your answer... 1 point For the following questions, Perform the operation an express your answer in scientific notation with the correct number of significant figures. 0.00000000345 + 2.314 + 10.0910 =arrow_forwardSuppose the densities of two metals are so close together that density is difficult to use to be able to distinguish them within the margin of error (a good example would be zinc and tin). What other physical properties could you use to determine which metal was which? Explain your reasoning thoroughly.arrow_forwardWhy is it important to know how to convert from one unit to another? Provide an example in which you would use conversions.arrow_forward
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- You find a recipe for 50 people and you want to make it for 6 people. What CONVERSION FACTOR would you have to multiply each item in the recipe by to make this recipearrow_forwardPlease don't provide handwritten solutionarrow_forwardPls do fast and i will rate instantly for sure Solution must be in typed form Please show work on these questions. I am having a hard time understanding these concepts.arrow_forward
- Carbon disulfide gas and oxygen gas react to form sulfur dioxide gas and carbon dioxide gas. What volume of carbon dioxide would be produced by this reaction if 1.22cm^3 of oxygen were consumed? Also, be sure your answer has a unit symbol, and is rounded to the correct number of significant digits.arrow_forwardImagine that you took a road trip. Based on the information in the table, what was the average speed of your car? Time 3:00 pm 8:00 pm Mile marker 14 265 Express your answer to three significant figures and include the appropriate units. Use mi as an abbreviation for miles, and h for hours, or mph can be used to indicate miles per hour.arrow_forwardFind the radius (in centimeters) of a water droplet with a volume of 0.058 mL. You can assume the droplet is a sphere.arrow_forward
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