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Chapter 1: Problem 42

Perform the following unit conversions. a. 908 oz to kilograms b. \(12.8 \mathrm{~L}\) to gallons c. \(125 \mathrm{~mL}\) to quarts d. \(2.89\) gal to milliliters e. \(4.48 \mathrm{lb}\) to grams f. \(550 \mathrm{~mL}\) to quarts

Short Answer

Expert verified
a. 25.754 kg b. 3.3817 gal c. 0.13197 qt d. 10931.49 mL e. 2032.123 g f. 0.5812 qt

Step by step solution

01

a. 908 oz to kilograms

1. Identify the conversion factor: \[1 \mathrm{~kg} = 35.274 \mathrm{~oz}\] 2. Multiply the given value by the conversion factor: \(\frac{908 \mathrm{~oz}}{1} \times \frac{1 \mathrm{~kg}}{35.274 \mathrm{~oz}}\) 3. Calculate the result: \(908 \mathrm{~oz} \times \frac{1 \mathrm{~kg}}{35.274 \mathrm{~oz}} = 25.754 \mathrm{~kg}\)
02

b. 12.8 L to gallons

1. Identify the conversion factor: \[1 \mathrm{~gal} = 3.78541 \mathrm{~L}\] 2. Multiply the given value by the conversion factor: \(\frac{12.8 \mathrm{~L}}{1} \times \frac{1 \mathrm{~gal}}{3.78541 \mathrm{~L}}\) 3. Calculate the result: \(12.8 \mathrm{~L} \times \frac{1 \mathrm{~gal}}{3.78541 \mathrm{~L}} = 3.3817 \mathrm{~gal}\)
03

c. 125 mL to quarts

1. Identify the conversion factor: \[1 \mathrm{~qt} = 946.353 \mathrm{~mL}\] 2. Multiply the given value by the conversion factor: \(\frac{125 \mathrm{~mL}}{1} \times \frac{1 \mathrm{~qt}}{946.353 \mathrm{~mL}}\) 3. Calculate the result: \(125 \mathrm{~mL} \times \frac{1 \mathrm{~qt}}{946.353 \mathrm{~mL}} = 0.13197 \mathrm{~qt}\)
04

d. 2.89 gal to milliliters

1. Identify the conversion factor: \[1 \mathrm{~gal} = 3785.41 \mathrm{~mL}\] 2. Multiply the given value by the conversion factor: \(\frac{2.89 \mathrm{~gal}}{1} \times \frac{3785.41 \mathrm{~mL}}{1 \mathrm{~gal}}\) 3. Calculate the result: \(2.89 \mathrm{~gal} \times \frac{3785.41 \mathrm{~mL}}{1 \mathrm{~gal}} = 10931.49 \mathrm{~mL}\)
05

e. 4.48 lb to grams

1. Identify the conversion factor: \[1 \mathrm{~lb} = 453.592 \mathrm{~g}\] 2. Multiply the given value by the conversion factor: \(\frac{4.48 \mathrm{~lb}}{1} \times \frac{453.592 \mathrm{~g}}{1 \mathrm{~lb}}\) 3. Calculate the result: \(4.48 \mathrm{~lb} \times \frac{453.592 \mathrm{~g}}{1 \mathrm{~lb}} = 2032.123 \mathrm{~g}\)
06

f. 550 mL to quarts

1. Identify the conversion factor: \[1 \mathrm{~qt} = 946.353 \mathrm{~mL}\] 2. Multiply the given value by the conversion factor: \(\frac{550 \mathrm{~mL}}{1} \times \frac{1 \mathrm{~qt}}{946.353 \mathrm{~mL}}\) 3. Calculate the result: \(550 \mathrm{~mL} \times \frac{1 \mathrm{~qt}}{946.353 \mathrm{~mL}} = 0.5812 \mathrm{~qt}\)

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Most popular questions from this chapter

Sterling silver is a solid solution of silver and copper. If a piece of a sterling silver necklace has a mass of \(105.0 \mathrm{~g}\) and a volume of \(10.12 \mathrm{~mL}\), calculate the mass percent of copper in the piece of necklace. Assume that the volume of silver present plus the volume of copper present equals the total volume. Refer to Table \(1.5\). Mass percent of copper \(=\frac{\text { mass of copper }}{\text { total mass }} \times 100\)

Round off each of the following numbers to the indicated number of significant digits and write the answer in standard scientific notation. a. \(0.00034159\) to three digits b. \(103.351 \times 10^{2}\) to four digits c. \(17.9915\) to five digits d. \(3.365 \times 10^{5}\) to three digits

An experiment was performed in which an empty \(100-\mathrm{mL}\) graduated cylinder was weighed. It was weighed once again after it had been filled to the \(10.0-\mathrm{mL}\) mark with dry sand. A \(10-\mathrm{mL}\) pipet was used to transfer \(10.00 \mathrm{~mL}\) of methanol to the cylinder. The sand- methanol mixture was stirred until bubbles no longer emerged from the mixture and the sand looked uniformly wet. The cylinder was then weighed again. Use the data obtained from this experiment (and displayed at the end of this problem) to find the density of the dry sand, the density of methanol, and the density of sand particles. Does the bubbling that occurs when the methanol is added to the dry sand indicate that the sand and methanol are reacting? Mass of cylinder plus wet sand \(\quad 45.2613 \mathrm{~g}\) Mass of cylinder plus dry sand \(\quad 37.3488 \mathrm{~g}\) Mass of empty cylinder \(22.8317 \mathrm{~g}\) Volume of dry sand \(10.0 \mathrm{~mL}\) Volume of sand plus methanol \(\quad 17.6 \mathrm{~mL}\) Volume of methanol \(\quad 10.00 \mathrm{~mL}\)

A rectangular block has dimensions \(2.9 \mathrm{~cm} \times 3.5 \mathrm{~cm} \times 10.0 \mathrm{~cm}\). The mass of the block is \(615.0 \mathrm{~g}\). What are the volume and density of the block?

Evaluate each of the following and write the answer to the appropriate number of significant figures. a. \(212.2+26.7+402.09\) b. \(1.0028+0.221+0.10337\) c. \(52.331+26.01-0.9981\) d. \(2.01 \times 10^{2}+3.014 \times 10^{3}\) e. \(7.255-6.8350\)
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