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The density of a certain material is such that it weighs 6 pounds per pint of volume.
Express this density in grams per liter. Round your answer to the nearest whole
number.
*Note: you must use these exact conversion factors to get this question right.
Weight / mass
Volume
1 pound (lb) = 16 ounces (oz)
1 cup (cup) = 8 fluid ounces (fl oz)
i ton (ton) = 2000 pounds (lb)
1 pint (pt) = 2 cups (cups)
1 gram (g) = 1000 milligrams (mg)
i quart (at) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (8)
1 gallon (gal) = 4 quarts (qt)
1 ounce (oz) = 28.35 grams (8)
1 cubic foot (ft") = 7.481 gallons (gal)
1 pound (1b) = 0.454 kilograms (kg) 1 liter (L) = 1000 milliliters (mL)
1 cubic meter (m) = 1000 liters (L)
1 gallon (gal) = 3.785 liters (L)
i fluid ounce (fl oz) = 29.574 milliliters (mL)

Respuesta :

Answer:

The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) is 5756.75 g/L

Step-by-step explanation:

The density of the material is 6 pounds per pint of volume

The given conversion factors are;

1 pint (pt) = 2 cups (cups)

1 cup (cup) = 8 fluid ounces (fl oz)

Therefore;

2 cups (cups) = 2 × 8 fluid ounces = 16 fl oz

Also given;

1 fluid ounce = 29.574 mililiters (mL)

16 fl oz = 16 × 29.574 mL = 473.184 mL

1 liter (L) = 1000 mililiters (mL)

∴ 1 mL = 1/1000 L = 0.001 L

473.184 mL = 473.184 ×  0.001 L = 0.473184 L

1 pound (lb) = 0.454 kilograms (kg)

6 lb = 6 × 0.454 kg = 2.724 kg

1 kg = 1000 grams (g)

2.724 kg = 2.724 ×  1000 grams (g) = 2724 g

Therefore, with 6 lb = 2724 g and 1 pt = 0.473184 L, the density, d, of the material in grams per liter that has a density of 6 pounds per pint is given as follows;  

d = 2724 g/(0.473184 L)= 5756.75 g/L

The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) = 5756.75 g/L = 5756.75 g/L.

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