Question

the density of a certain material is such that it weighs 110 grams per gallon of volume. express this density in pounds per liter. round your answer to the nearest hundredth. *note: you must use these exact conversion factors to get this question right.
weight / mass
1 pound (lb) = 16 ounces (oz)
1 ton (ton) = 2000 pounds (lb)
1 kilogram (kg) = 1000 grams (g)
1 ounce (oz) = 28.35 grams (g)
1 gram (g) = 1000 milligrams (mg)
1 pound (lb) = 0.454 kilograms (kg)
volume
1 cup (cup) = 8 fluid ounces (fl oz)
1 pint (pt) = 2 cups (cups)
1 quart (qt) = 2 pints (pt)
1 gallon (gal) = 4 quarts (qt)
1 cubic foot (ft³) = 7.481 gallons (gal)
1 liter (l) = 1000 milliliters (ml)
1 cubic meter (m³) = 1000 liters (l)
1 gallon (gal) = 3.785 liters (l)
1 fluid ounce (fl oz) = 29.574 milliliters (ml)

Explanation:

Step1: Convert grams per gallon to kilograms per liter

We know that 1 gallon = 3.785 liters and 1 kg=1000 g. Given the density is 110 g/gal. First, convert grams to kilograms: 110 g = 110÷1000 = 0.11 kg.

Step2: Adjust for volume conversion

The density in kg/L is $\frac{0.11}{3.785}$ kg/L.

Step3: Convert kilograms to pounds

We know that 1 kg = 2.20462 lb. So the density in pounds per liter is $\frac{0.11}{3.785}\times2.20462$ lb/L.

Step4: Calculate and round

$\frac{0.11\times2.20462}{3.785}=\frac{0.2425082}{3.785}\approx0.064$ lb/L.

Answer:

0.06