sodium chloride (relative molecular mass = 58.5) had a solubility of 36.0 g per 100g of water. the density of the solution is 1.13 g/ml. which of the following calculations would give te solubility in moles per liter?
A) 36.0 x 10/58.5
b) 36.0 x 10 x 1.13/(58.5 x 136)
c) 36.0 x 1000/(58.5 x 1.13)
d) 36.0 x 1000 x 1.13/(58.5 x 136)
M = mols/L
mol = 36.0/58.5
volume = mass/density = 136/(1.13*1000)
So M = (36.0/58.5)/[136/(1.13*1000]
Check me out on this. This would make it
(36.0/58.5) x (1.13*1000/136) =
(36.0 x 1.13 x 1000/136 x 58.5 = ?
It's the total mass of the solution: 36g of NaCl and 100g of water.
thanks! where is the 136 coming from tho??
Why we write 1000 with density
To calculate the solubility of sodium chloride in moles per liter, we need to convert the given values into moles and liters.
First, let's calculate the number of moles of sodium chloride dissolved in 100 g of water:
Moles = Mass / Molar mass
Moles = 36.0 g / 58.5 g/mol
Moles = 0.615 moles
Next, we need to find the volume of the solution in liters. We're given the density of the solution, which means we can calculate the mass of the solution in grams. Then, we can convert this mass into liters using the density of the solution.
Mass of the solution = density of the solution * volume of the solution
Volume of the solution = Mass of the solution / Density of the solution
Given that the density of the solution is 1.13 g/mL and we have 100 g of water plus 36.0 g of sodium chloride, the total mass of the solution is:
Mass of the solution = 100 g + 36.0 g
Mass of the solution = 136 g
Now we can calculate the volume of the solution in liters:
Volume of the solution = 136 g / 1.13 g/mL
Volume of the solution = 120.35 mL
Since there are 1000 mL in a liter, we can convert the volume of the solution:
Volume of the solution = 120.35 mL * (1 L / 1000 mL)
Volume of the solution = 0.12035 L
Now we have the number of moles of sodium chloride dissolved in 100 g of water (0.615 moles) and the volume of the solution in liters (0.12035 L). To find the solubility in moles per liter, we can use the formula:
Solubility (moles per liter) = Moles / Volume
Solubility (moles per liter) = 0.615 moles / 0.12035 L
Solubility (moles per liter) ≈ 5.11 moles per liter
Now let's analyze the answer choices:
A) 36.0 x 10/58.5
B) 36.0 x 10 x 1.13/(58.5 x 136)
C) 36.0 x 1000/(58.5 x 1.13)
D) 36.0 x 1000 x 1.13/(58.5 x 136)
Among the given choices, option C) 36.0 x 1000/(58.5 x 1.13) gives the correct calculation for the solubility in moles per liter.
Therefore, the correct choice is C) 36.0 x 1000/(58.5 x 1.13).