If the volume of ocean water 7.41*10^20 L contains 2.9 percent sodium chloride ("salt") by mass and the density of the water is 1.26 g/mL, calculate the total mass of sodium chloride. (1 ton = 2000 lb, 1 lb = 453.6 g)
Calculate the mass of sodium chloride in kg
mass = density x volume
mass ocean H2O = 1.26 g/mL x 7.41E23 mL = ?
Then (X g NaCl/? g ocean H2O) x 100 = 2.9
Solve for X grams and convert to kg.
Please explain how what the X g NaCl should be? I am not following this completely! Thanks
I got the answer for mass of H20 to be 9.337*10^23 g
mass % = (mass solute/mass solution)*100.
You have the mass of the solution.
You want to know the mass of the solute, NaCl. Let that be X.
(x/9.34E23)*100 = ?
Solve for x = mass NaCl (in grams) and convert to kg.
To calculate the mass of sodium chloride in kg, we need to follow these steps:
Step 1: Convert the given volume of ocean water to mass.
Using the density of the water, we can calculate the mass of the water using the formula:
Mass = Volume * Density
First, let's convert the given volume from liters to milliliters:
7.41 * 10^20 L = 7.41 * 10^20 * 1000 mL/L (since 1 L = 1000 mL)
= 7.41 * 10^23 mL
Now, we can calculate the mass of the water:
Mass of water = Volume of water * Density
= (7.41 * 10^23 mL) * (1.26 g/mL)
= 9.33 * 10^23 g
Step 2: Calculate the mass of sodium chloride.
Given that the ocean water contains 2.9 percent sodium chloride by mass, we can calculate the mass of sodium chloride:
Mass of sodium chloride = Mass of water * Percentage of sodium chloride
Percentage of sodium chloride = 2.9%
We also need to convert this percentage to a decimal by dividing it by 100:
Percentage of sodium chloride = 2.9% / 100 = 0.029
Now, we can calculate the mass of sodium chloride:
Mass of sodium chloride = (9.33 * 10^23 g) * 0.029
= 2.70 * 10^22 g
Step 3: Convert the mass of sodium chloride to kilograms.
To convert the mass from grams to kilograms, we divide by 1000:
Mass of sodium chloride in kg = (2.70 * 10^22 g) / 1000
= 2.70 * 10^19 kg
Therefore, the mass of sodium chloride in kg is 2.70 * 10^19 kg.