The image above represents the osmotic pressure. To calculate the osmotic pressure, five parameters are needed and these parameters are Ideal Gas Constant (R), Temperature in Kelvin (T), Number of Moles (n), Volume (V), and Van’t Hoff’s Factor (i).
The formula for calculating osmotic pressure:
π = i nRT ⁄ V
Where;
π = osmotic pressure
n = number of moles
R = ideal gas constant
T = temperature in Kelvin
i = Van’t Hoff’s Factor
V = Volume
Let’s solve an example;
Find the osmotic pressure when the ideal gas constant is 0.08206 with a temperature in kelvin of 120, the number of moles is 32, a volume of 48, and a van’t hoff’s factor of 24.
This implies that;
n = number of moles = 32
R = ideal gas constant = 0.08206
T = temperature in Kelvin = 120
i = Van’t Hoff’s Factor = 24
V = Volume = 48
π = i nRT ⁄ V
π = 24 32 x 0.08206 x 120 ⁄ 48
That is, π = (24) (315.110) ⁄ (48)
π = (24)(6.5647)
π = 157.5
Therefore, the osmotic pressure is 157.5 atm.
Calculating the Van’t Hoff’s Factor using the Osmotic Pressure, Number of Moles, Temperature in Kelvin, Ideal Gas Constant and Volume
i = Vπ / nRT
Where;
i = Van’t Hoff’s Factor
π = osmotic pressure
V = Volume
n = number of moles
R = ideal gas constant
T = temperature in Kelvin
Let’s solve an example;
Find the Van’t Hoff’s Factor when the osmotic pressure is 220, volume of 50, temperature in kelvin of 180, and the number of moles of 60. (R = 0.08206)
This implies that;
π = osmotic pressure = 220
V = Volume = 50
n = number of moles = 60
R = ideal gas constant = 0.08206
T = temperature in Kelvin = 180
i = Vπ / nRT
i = 50 x 220 / 60 x 0.08206 x 180
That is, i = 11000 / 866.808
i = 12.69
Therefore, the Van’t Hoff’s Factor is 12.69.
Calculating the Volume using the Osmotic Pressure, Number of Moles, Temperature in Kelvin, Ideal Gas Constant, and Van’t Hoff’s Factor
V = i (nRT) / π
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Where;
V = Volume
i = Van’t Hoff’s Factor
π = osmotic pressure
n = number of moles
R = ideal gas constant
T = temperature in Kelvin
Let’s solve an example;
Find the volume when the osmotic pressure is 280, Van’t Hoff’s Factor of 40, the temperature in kelvin of 90, and the number of moles of 70. (R = 0.08206)
This implies that;
i = Van’t Hoff’s Factor = 40
π = osmotic pressure = 280
n = number of moles = 70
R = ideal gas constant = 0.08206
T = temperature in Kelvin = 90
V = i (nRT) / π
V = 40 (70 x 0.08206 x 90) / 280
This means, V = 40 (516.978) / 280
V = 20679.12 / 280
V = 73.854
Therefore, the volume is 73.854.
Calculating the Number of Moles using the Osmotic Pressure, Volume, Temperature in Kelvin, Ideal Gas Constant, and Van’t Hoff’s Factor
n = Vπ / i (RT)
Where;
n = number of moles
V = Volume
π = osmotic pressure
i = Van’t Hoff’s Factor
R = ideal gas constant
T = temperature in Kelvin
Let’s solve an example;
Find the number of moles when the osmotic pressure is 140, Van’t Hoff’s Factor of 32, the temperature in kelvin of 88, and the volume of 65. (R = 0.08206)
This implies that;
V = Volume = 65
π = osmotic pressure = 140
i = Van’t Hoff’s Factor = 32
R = ideal gas constant = 0.08206
T = temperature in Kelvin = 88
n = Vπ / i (RT)
n = 65 x 140 / 32 (0.08206 x 88)
So, n = 9100 / 32 (7.22128)
n = 9100 / 231.08096
n = 39.38
Therefore, the number of moles is 39.38.
Calculating the Temperature in Kelvin using the Osmotic Pressure, Volume, Ideal Gas Constant, Number of Moles, and Van’t Hoff’s Factor
T = Vπ / i (nR)
Where;
T = temperature in Kelvin
V = Volume
π = osmotic pressure
i = Van’t Hoff’s Factor
n = number of moles
R = ideal gas constant
Let’s solve an example;
Given that osmotic pressure is 90, Van’t Hoff’s Factor of 22, the number of moles of 12, and the volume of 60. (R = 0.08206). Find the temperature in kelvin.
This implies that;
V = Volume = 60
π = osmotic pressure = 90
i = Van’t Hoff’s Factor = 22
n = number of moles = 12
R = ideal gas constant = 0.08206
T = Vπ / i (nR)
T = 60 x 90 / 22 (12 x 0.08206)
Then, T = 5400 / 22 (0.98472)
T = 5400 / 21.66384
T = 249.26
Therefore, the temperature in kelvin is 249.26.
How to Calculate the Osmotic Pressure Using The Calculator Encyclopedia
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the osmotic pressure.
To get the answer and workings of the osmotic pressure using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Basic Chemistry under Chemistry
Now, Click on Osmotic Pressure under Basic Chemistry
The screenshot below displays the page or activity to enter your values, to get the answer for the osmotic pressure according to the respective parameters which are the Van’t Hoff’s Factor (i), Ideal Gas Constant (R), Temperature in Kelvin (T), Number of Moles (n) and Volume (V).
Now, enter the values appropriately and accordingly for the parameters as required by the example above where the Van’t Hoff’s Factor (i) is 24, Ideal Gas Constant (R) is 0.08206, Temperature in Kelvin (T) is 120, Number of Moles (n) is 32 and Volume (V) is 48.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the osmotic pressure and presents the formula, workings, and steps too.
