So i been trying to solve this question like for ever! so i hope you guys can help me , here is the question :
the volume of a seawater on earth is about 330,000,000 mi3. if seawater is 3.5% sodium chloride by mass and has a density of 1.03g/mL, what is the approximate mass of sodium chloride, in tons, dissolved in the seawater on earth. (1 ton = 2000lb)
Convert 330,000 cubic miles to cc. You can do it the hard way
5,280 ft/mile --this term is cubed.
12 inches/foot --this term is cubed.
2.54 cm/inch--this term is cubed.
OR you can go to www.google.com and type into the search box the following without the quotation marks.
"330,000 cubic miles to cc" and hit enter.
I think the answer is 1.375 x 10^21 cc.
mass = volume x density. You know volume in cc and you know density in g/cc, calculate mass. Multiply by 0.035 to convert to grams NaCl in the seawater. Now convert grams to pounds (again go to google to convert) and divide by 2000 to convert to tons. Or easier still is to use google to convert from grams to tons. You may need to specify US tons since a metric tons is not the same.
To find the mass of sodium chloride dissolved in the seawater on Earth, we can follow these steps:
Step 1: Calculate the volume of seawater in liters:
Given that the volume of seawater is 330,000,000 mi^3, we need to convert it to liters.
1 mi^3 is approximately equal to 4.17 x 10^9 liters.
So, the volume of seawater is approximately 1.38 x 10^18 liters.
Step 2: Calculate the mass of seawater:
The density of seawater is 1.03 g/mL.
Since we know the total volume of seawater is approximately 1.38 x 10^18 liters, we can convert it to grams by multiplying it by the density.
Mass of seawater = Volume of seawater x Density of seawater
= 1.38 x 10^18 liters x 1.03 g/mL
≈ 1.42 x 10^18 grams
Step 3: Calculate the mass of sodium chloride:
Sodium chloride is 3.5% by mass in the seawater.
So, we can find the mass of sodium chloride by multiplying the mass of seawater by the percentage of sodium chloride.
Mass of sodium chloride = Mass of seawater x (Percentage of sodium chloride / 100)
≈ 1.42 x 10^18 grams x (3.5 / 100)
= 4.97 x 10^16 grams
≈ 49.7 x 10^14 grams
Step 4: Convert the mass to tons:
Finally, to convert the mass of sodium chloride from grams to tons, we divide it by the conversion factor: 1 ton = 2000 lb.
Mass of sodium chloride in tons = Mass of sodium chloride in grams / (2000 lb/1 ton)
= (49.7 x 10^14 grams) / (2000 lb/1 ton)
= (49.7 x 10^14 grams) / 2000
= 24.85 x 10^11 tons
≈ 2.49 x 10^12 tons
Therefore, the approximate mass of sodium chloride dissolved in the seawater on Earth is 2.49 x 10^12 tons.
To solve this question, we need to find the mass of sodium chloride dissolved in the seawater and then convert it to tons.
Here are the steps to find the mass of sodium chloride:
Step 1: Calculate the volume of seawater in liters.
To convert 330,000,000 mi³ to liters, we use the conversion factor: 1 mi³ = 4,168,181.83 liters.
Therefore, the volume of seawater in liters is:
330,000,000 mi³ * 4,168,181.83 L/mi³ = 1.37486673 × 10^18 liters (approximately)
Step 2: Calculate the mass of the seawater in grams.
We know that the density of seawater is 1.03 g/mL, so the mass of the seawater is:
1.03 g/mL * 1.37486673 × 10^18 liters = 1.41585474 × 10^18 grams (approximately)
Step 3: Calculate the mass of sodium chloride in grams.
Given that seawater is 3.5% sodium chloride by mass, we can calculate the mass of sodium chloride as a percentage of the total mass of the seawater:
Mass of sodium chloride = 3.5% * 1.41585474 × 10^18 grams = 4.9544901 × 10^16 grams (approximately)
Step 4: Convert the mass of sodium chloride from grams to tons.
To convert the mass from grams to tons, we use the conversion factor: 1 ton = 2000 lb = 907185 grams
So, the mass of sodium chloride in tons is:
Mass of sodium chloride = 4.9544901 × 10^16 grams / 907185 = 5.4623161 × 10^7 tons
Therefore, the approximate mass of sodium chloride dissolved in the seawater on Earth is approximately 5.4623161 × 10^7 tons.