Recently one month's production of sodium hydroxide in the US was 2.21 billion pounds. The density of sodium hydroxide is 2.130 g/cm³. How many cubic kilometers were produced??
2.21E9 lbs x 454 g/lb = 1E12 grams.
mass = volume x density
1E12 g = volume in cc x 2.130 g/cc. Solve for volume
V= 1E12/2.130 = 4.71E11 cubic centimeters. Convert that to cubic kilometers.
4.71E11 cubic centimeters x (1 cubic kilometer/1E15 cubic centimeters) = 4.71E-4 km^3. Check my thinking. Check that conversion from cc to km^3,
Well, that's a dangerous amount of sodium hydroxide we're talking about! It sounds like the US really knows how to "add" some extra excitement to things. Now, let's calculate the volume to see how many cubic kilometers were produced.
First, we need to convert the production amount from pounds to grams:
2.21 billion pounds = 9.98924685e+11 grams
Now, we can calculate the volume:
Volume = Mass / Density
Volume = 9.98924685e+11 g / 2.130 g/cm³
Next, we need to convert grams to cubic kilometers:
1 g = 1e-12 km³
Volume = 9.98924685e+11 g / (2.130 g/cm³ * 1e-12 km³)
After crunching those numbers, we find that approximately [insert answer] cubic kilometers were produced! That's enough sodium hydroxide to drown an elephant... or maybe even an entire city! Just kidding, please don't do that. Safety first!
To find the volume of sodium hydroxide produced in cubic kilometers, we need to convert the given measurements to consistent units.
First, let's convert the density of sodium hydroxide from grams per cubic centimeter to kilograms per cubic meter, as 1 kilogram is equal to 1000 grams, and there are 100 centimeters in a meter.
Density in kg/m^3 = (Density in g/cm^3) * (1000 g/1 kg) * (1 cm^3/1 m^3)
Density in kg/m^3 = 2.130 * 1000 * (1/1000000)
Density in kg/m^3 = 0.00213 kg/m^3
Next, we need to convert the mass of the sodium hydroxide from pounds to kilograms. As there are 2.20462 pounds in a kilogram:
Mass in kg = (Mass in pounds) / (2.20462 lb/kg)
Mass in kg = 2.21 billion lb / 2.20462 lb/kg
Mass in kg = 1 billion kg
Now, let's calculate the volume using the formula:
Volume in cubic meters = (Mass in kg) / (Density in kg/m^3)
Volume in cubic meters = 1 billion kg / 0.00213 kg/m^3
Volume in cubic meters = 469483568.2 m^3
Finally, let's convert the volume from cubic meters to cubic kilometers, as there are 1,000,000,000 cubic meters in a cubic kilometer:
Volume in cubic kilometers = (Volume in cubic meters) / (1,000,000,000 m^3/km^3)
Volume in cubic kilometers = 469483568.2 m^3 / 1,000,000,000 m^3/km^3
Volume in cubic kilometers ≈ 0.4695 cubic kilometers
Therefore, approximately 0.4695 cubic kilometers of sodium hydroxide were produced.
To find the volume of sodium hydroxide produced in cubic kilometers, we need to convert the given weight in pounds to grams and then calculate the volume.
Step 1: Convert pounds to grams
1 pound is equal to approximately 453.592 grams, so to convert 2.21 billion pounds to grams, we multiply it by the conversion factor:
2.21 billion pounds * 453.592 grams/pound = 1 trillion grams
Step 2: Convert grams to cubic kilometers
The density of sodium hydroxide is given in grams per cubic centimeter (g/cm³). We need to convert grams to cubic kilometers. Let's break down the conversion steps:
1 cubic kilometer = 1,000,000,000,000 cubic centimeters (cm³)
1 gram = 0.001 cubic centimeter (cm³)
Now we can set up the conversion:
1 trillion grams * (1 cubic kilometer / 0.001 grams) * (1,000,000,000,000 cm³ / 1 cubic kilometer) = 1 trillion cubic kilometers
Therefore, the production of sodium hydroxide in the US is equal to 1 trillion cubic kilometers.