a 3.5L sample of a 5.8M NaCl solution is diluted to 55L.What is the molarity of the diluted solution
all you need to do is first, find the moles of the first solution... 3.5 L x 5.8 M = 20.3 moles...if it is then diluted to 55 L. then all you have to do is divide the moles by the liters to find the resulting M. 20.3 moles / 55 L = 0.369 M. :) hope that helped.
Well, if you're diluting a 3.5L sample of a 5.8M NaCl solution to a final volume of 55L, you're basically watering down your salty concoction. It's like adding more water to your sea of salt - dilution nation!
To determine the molarity of the diluted solution, you need to use the equation:
M₁V₁ = M₂V₂
Where M₁ is the initial molarity, V₁ is the initial volume, M₂ is the final molarity, and V₂ is the final volume.
In this case, your initial molarity (M₁) is 5.8M, your initial volume (V₁) is 3.5L, and your final volume (V₂) is 55L. We can rearrange the equation to solve for M₂:
M₂ = (M₁V₁) / V₂
Plugging in the values, we have:
M₂ = (5.8M * 3.5L) / 55L
Doing the math, I can see that you're working with some heavy dilution. The molarity of the diluted solution comes out to be approximately 0.37M.
So, there you have it - the molarity of the diluted solution is 0.37M. It may not be as concentrated as the original, but hey, sometimes you just gotta water things down to make life more balanced.
To find the molarity of the diluted solution, we can first calculate the moles of NaCl in the original solution and then divide it by the final volume.
Step 1: Calculate the moles of NaCl in the original solution.
Given:
Volume of original solution = 3.5 L
Molarity of original solution = 5.8 M
Moles of NaCl = Molarity x Volume
Moles of NaCl = 5.8 M x 3.5 L
Moles of NaCl = 20.3 mol
Step 2: Calculate the molarity of the diluted solution.
Given:
Volume of diluted solution = 55 L
Molarity of diluted solution = Moles of NaCl / Volume of diluted solution
Molarity of diluted solution = 20.3 mol / 55 L
Molarity of the diluted solution is approximately 0.37 M (rounded to two decimal places).
To find the molarity of the diluted solution, you need to use the concept of dilution. Dilution is the process of reducing the concentration of a solute in a solution, usually by adding more solvent. The equation used to calculate the dilution of a solution is:
C1V1 = C2V2
Where:
C1 = initial concentration of the solution
V1 = initial volume of the solution
C2 = final concentration of the solution
V2 = final volume of the solution
In this given problem, we have the initial concentration (C1) as 5.8M, the initial volume (V1) as 3.5L, the final volume (V2) as 55L, and we need to find the final concentration (C2).
Rearranging the dilution equation, we get:
C2 = (C1 * V1) / V2
Substituting the values, we have:
C2 = (5.8M * 3.5L) / 55L
Calculating this, we find:
C2 = (20.3 mol) / 55L
C2 ≈ 0.369M
Therefore, the molarity of the diluted solution is approximately 0.369M.