If the density of ocean water at depth of 10,000m is 1.071g/ml and if 25.0g of water at that depth contains 190mg of KCl what is the molarity of KCL?
mols KCl = grams/molar mass = approx 0.0025 mols KCl in 25.0 g H2O at that depth but that's an estimate.
How much volume is the 25.0g?
That's mass = volume x density and v = m/d = 25.0/1.071 = ? and convert to L.
Then = M = mols/L
1.07e-4
To find the molarity of KCl, you will need to calculate the number of moles of KCl present in 25.0g of water at a depth of 10,000m.
1. First, convert the mass of KCl from milligrams to grams:
190mg = 0.190g
2. Next, calculate the number of moles of KCl using its molar mass. The molar mass of KCl is:
K: 39.10 g/mol
Cl: 35.45 g/mol
Molar mass of KCl = 39.10 g/mol + 35.45 g/mol = 74.55 g/mol
Moles of KCl = Mass of KCl / Molar mass of KCl
= 0.190g / 74.55 g/mol
3. Now, calculate the volume of water in liters using the given density of ocean water. The density of water is given as 1.071 g/ml, and the mass of water is 25.0g:
Volume of water = Mass of water / Density of water = 25.0g / 1.071 g/ml
4. Convert the volume of water from milliliters to liters:
Volume of water = 25.0 ml / 1000 ml/L
5. Finally, calculate the molarity of KCl using the number of moles and the volume of water in liters:
Molarity = Moles of KCl / Volume of water in L
Now you can substitute the values into the formula to find the molarity of KCl.
To determine the molarity of KCl, we need to first calculate the number of moles of KCl present in the given mass and then divide it by the volume of the solution.
1. First, calculate the number of moles of KCl in 190 mg (0.190 g) of KCl using the molar mass of KCl.
The molar mass of KCl (potassium chloride) is calculated by adding the atomic masses of potassium (K) and chlorine (Cl).
The atomic mass of K = 39.10 g/mol, and Cl = 35.45 g/mol.
Thus, the molar mass of KCl = 39.10 g/mol + 35.45 g/mol = 74.55 g/mol.
To calculate the number of moles, we divide the given mass (0.190 g) by the molar mass of KCl:
Number of moles = (0.190 g) / (74.55 g/mol)
2. Now, to determine the volume of the solution, we need to convert the mass of water at a depth of 10,000 m to volume using its density.
Given density of ocean water at a depth of 10,000 m = 1.071 g/ml.
We are given 25.0 g of water. To convert this mass to volume, we divide it by the density:
Volume = (25.0 g) / (1.071 g/ml)
3. Finally, divide the number of moles of KCl by the volume of the solution to obtain the molarity.
Molarity (M) = Number of moles / Volume
Substitute the calculated values to find the molarity of KCl.