The density of table salt is 2.16 g/cm3. Detail the conversion into units of pounds per liter, and provide the density in lb/L.
My solution must include a step-by-step solution with units included throughout!
2.16 g/cc to lb/L.
There are 453.59 g in 1 lb.
There are 1000 cc in 1 L..
So 2.16 g/cc x (1 lb/453.59 g) x (1000 cc/1L) = ?
The first term converts grams to pounds; the second term converts cc to L. Note that g in the first term cancel to leave lb/cc and that cc cancels in the second term leaving 1/L so all has been converted to lb/L. The answer should be about 4.8 or so.
Sure, here's a step-by-step solution to convert the density of table salt from grams per cubic centimeter (g/cm3) to pounds per liter (lb/L):
1. Start with the given density of table salt: 2.16 g/cm3.
2. To convert grams to pounds, we need to use the conversion factor of 1 pound = 453.592 grams.
3. Multiply the given density by the conversion factor to convert grams to pounds: 2.16 g/cm3 * (1 lb / 453.592 g).
4. Cancel out the units of grams, and the resulting unit is pounds per cubic centimeter (lb/cm3).
5. To convert cubic centimeters to liters, we know that 1 liter is equal to 1000 cubic centimeters. Therefore, divide the density by 1000 to convert to liters: (2.16 lb/cm3) / 1000 = 0.00216 lb/cm3.
6. Finally, the density in pounds per liter (lb/L) is obtained by multiplying the result from step 5 by 1000 (since there are 1000 liters in one cubic meter): 0.00216 lb/cm3 * 1000 = 2.16 lb/L.
So, the density of table salt in pounds per liter (lb/L) is 2.16 lb/L.
To convert the density of table salt from grams per cubic centimeter (g/cm3) to pounds per liter (lb/L), follow these step-by-step instructions:
Step 1: Convert the density from grams (g) to pounds (lb).
1 g = 0.00220462 lb (conversion factor)
To do the conversion, multiply the density in g/cm3 by the conversion factor:
2.16 g/cm3 * 0.00220462 lb/g = 0.00475879 lb/cm3
Step 2: Convert the density from pounds per cubic centimeter (lb/cm3) to pounds per liter (lb/L).
1 cm3 = 0.001 liter (conversion factor)
To do the conversion, divide the density in lb/cm3 by the conversion factor:
0.00475879 lb/cm3 ÷ 0.001 L/cm3 = 4.75879 lb/L
Therefore, the density of table salt is 4.75879 lb/L.
To convert the density of table salt from grams per cubic centimeter (g/cm3) to pounds per liter (lb/L), we need to use the following conversion factors:
1 pound = 453.59237 grams
1 liter = 1000 cubic centimeters
1 kilogram (kg) = 2.20462 pounds
Here are the step-by-step calculations:
Step 1: Convert grams to pounds
Density (in lb/cm3) = 2.16 g/cm3 * (1 lb / 453.59237 g) = 0.004759 lb/cm3
Step 2: Convert cubic centimeters to liters
Density (in lb/L) = 0.004759 lb/cm3 * (1000 cm3 / 1 L) = 4.759 lb/L
Therefore, the density of table salt is approximately 4.759 lb/L.
Please note that the conversion factor for pounds to grams and liters to cubic centimeters are approximate values because they are derived from the conversion factor between kilogram to pound.