In reverse osmosis, water flows out of a salt solution until the osmotic pressure of the solution equals the applied pressure. If a pressure of 58.0 bar is applied to seawater, what will be the final concentration of the seawater at 20 C when the reverse osmosis stops? ___M conc. Assuming that seawater has a total ion concentration (aka colligative molarity) of 1.10 M conc, calculate how many liters of seawater are needed to produce 53.7 L of fresh water at 20 C with an applied pressure of 58.0 bar.

is this how you would solve for M c?
58.0 bar = (0.083145)(20 C)(M c)?

and i have no idea how i would solve for the liters needed to produce fresh water... can somebody help me please?

To solve for the final concentration (Mc) of the seawater at 20°C when the reverse osmosis stops, we can use the equation:

Applied pressure = 0.083145 x Temperature (in Kelvin) x Mc

First, let's convert the temperature from Celsius to Kelvin:

Kelvin = Celsius + 273.15
Kelvin = 20 + 273.15
Kelvin = 293.15 K

Now we can plug the values into the equation:

58.0 bar = 0.083145 x 293.15 K x Mc

Solving for Mc:

Mc = 58.0 bar / (0.083145 x 293.15 K)
Mc ≈ 2.063 M

So, the final concentration of the seawater at 20°C when the reverse osmosis stops is approximately 2.063 M.

To calculate the number of liters of seawater needed to produce 53.7 L of fresh water at 20°C with an applied pressure of 58.0 bar, we can use the following equation:

Volume of fresh water = Volume of seawater x (1 - Mc/Mf), where Mf is the final concentration of the seawater after reverse osmosis.

Since the volume of seawater is the unknown, let's solve for it:

Volume of seawater = Volume of fresh water / (1 - Mc/Mf)

Assuming the final concentration of the seawater (Mf) is equal to the total ion concentration (colligative molarity) of 1.10 M:

Volume of seawater = 53.7 L / (1 - 2.063 M / 1.10 M)
Volume of seawater = 53.7 L / (1 - 1.875)
Volume of seawater ≈ 53.7 L / 0.125
Volume of seawater ≈ 429.6 L

Therefore, approximately 429.6 liters of seawater are needed to produce 53.7 L of freshwater at 20°C with an applied pressure of 58.0 bar.

got it thank you!