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Chapter 1: Problem 46

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

Short Answer

Expert verified
a. \(25.763\, \mathrm{kg}\) b. \(3.381\, \mathrm{gal}\) c. \(0.132\, \mathrm{qt}\) d. \(10939.33\, \mathrm{mL}\) e. \(2032.12\, \mathrm{g}\) f. \(0.581\, \mathrm{qt}\)

Step by step solution

01

a. Conversion factor for oz to kg

The conversion factor we need is 1 oz = 0.0283495 kg. We'll multiply the value we have in oz (908 oz) by the conversion factor to get the value in kg.
02

a. Calculate the value in kg

Using the conversion factor, we can calculate the value in kilograms: \(908\, \mathrm{oz} \times 0.0283495\, \frac{\mathrm{kg}}{\mathrm{oz}} = 25.763\, \mathrm{kg}\) b. Convert 12.8 L to gallons
03

b. Conversion factor for L to gal

The conversion factor we need is 1 L = 0.264172 gal. We'll multiply the value we have in liters (12.8 L) by the conversion factor to get the value in gallons.
04

b. Calculate the value in gal

Using the conversion factor, we can calculate the value in gallons: \(12.8\, \mathrm{L} \times 0.264172\, \frac{\mathrm{gal}}{\mathrm{L}} = 3.381\, \mathrm{gal}\) c. Convert 125 mL to quarts
05

c. Conversion factor for mL to qt

The conversion factor we need is 1 mL = 0.001057 qt. We'll multiply the value we have in milliliters (125 mL) by the conversion factor to get the value in quarts.
06

c. Calculate the value in qt

Using the conversion factor, we can calculate the value in quarts: \(125\, \mathrm{mL} \times 0.001057\, \frac{\mathrm{qt}}{\mathrm{mL}} = 0.132\, \mathrm{qt}\) d. Convert 2.89 gal to milliliters
07

d. Conversion factor for gal to mL

The conversion factor we need is 1 gal = 3785.41 mL. We'll multiply the value we have in gallons (2.89 gal) by the conversion factor to get the value in milliliters.
08

d. Calculate the value in mL

Using the conversion factor, we can calculate the value in milliliters: \(2.89\, \mathrm{gal} \times 3785.41\, \frac{\mathrm{mL}}{\mathrm{gal}} = 10939.33\, \mathrm{mL}\) e. Convert 4.48 lb to grams
09

e. Conversion factor for lb to g

The conversion factor we need is 1 lb = 453.592 g. We'll multiply the value we have in pounds (4.48 lb) by the conversion factor to get the value in grams.
10

e. Calculate the value in g

Using the conversion factor, we can calculate the value in grams: \(4.48\, \mathrm{lb} \times 453.592\, \frac{\mathrm{g}}{\mathrm{lb}} = 2032.12\, \mathrm{g}\) f. Convert 550 mL to quarts
11

f. Conversion factor for mL to qt

The conversion factor we need is 1 mL = 0.001057 qt. We'll multiply the value we have in milliliters (550 mL) by the conversion factor to get the value in quarts.
12

f. Calculate the value in qt

Using the conversion factor, we can calculate the value in quarts: \(550\, \mathrm{mL} \times 0.001057\, \frac{\mathrm{qt}}{\mathrm{mL}} = 0.581\, \mathrm{qt}\)

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