How to Calculate and Solve for Van’t Hoff Factor, Ebullioscopic Constant, Molality and Boiling Point Elevation | The Calculator Encyclopedia

March 19, 2019February 18, 2024 Loveth Idoko

Last Updated on February 18, 2024

The image above represents boiling point elevation. To calculate the boiling point elevation, three parameters are needed and these parameters are Van’t Hoff’s Factor (i), ebullioscopic constant (K_b), and Molality.

The formula for calculating boiling point elevation:

δT_b = iK_b x Molality

Where;
δT_b = boiling point elevation
i = Van’t Hoff’s Factor
K_b = ebullioscopic constant
Molality

Let’s solve an example;
Find the boiling point elevation when Van’t Hoff’s Factor is 42, the ebullioscopic constant is 60, and molality of 180.

This implies that;
i = Van’t Hoff’s Factor = 42
K_b = ebullioscopic constant = 60
Molality = 180

δT_b = iK_b x Molality
So, δT_b = (42)(60) x 180
δT_b = (2520) x 180
δT_b = 453600

Therefore, the boiling point elevation is 453600 °C m-1.

Calculating the Molality using the Boiling Point Elevation, Van’t Hoff’s Factor and Ebullioscopic Constant

Molality = ^δT_b / _{iK_b}

Where;
Molality
δT_b = boiling point elevation
i = Van’t Hoff’s Factor
K_b = ebullioscopic constant

Let’s solve an example;
Find the molality with a boiling point elevation of 120 and a van’t hoff’s factor of 32 with an ebullioscopic constant of 12.

This implies that;
δT_b = boiling point elevation = 120
i = Van’t Hoff’s Factor = 32
K_b = ebullioscopic constant = 12

Molality = ^δT_b / _{iK_b}
So, Molality = ¹²⁰ / ₃₈₄
Molality = 0.3125

Therefore, the molality is 0.3125.

Calculating the Van’t Hoff’s Factor when the Boiling Point elevation, Ebullioscopic Constant and Molality are Given

i = ^δT_b / _{K_b x molality}

Where;
i = Van’t Hoff’s Factor
δT_b = boiling point elevation
K_b = ebullioscopic constant
Molality

Let’s solve an example;
Find the van’t hoff’s factor when the boiling point elevation is 240 with a molality of 10 and an ebullioscopic constant of 15.

This implies that;
δT_b = boiling point elevation = 240
K_b = ebullioscopic constant = 15
Molality = 10

i = ^δT_b / _{K_b x molality}
i = ²⁴⁰ / _{15 x 10}
That is, i = ²⁴⁰ / ₁₅₀
i = 1.6

Therefore, the Van’t Hoff’s Factor is 1.6.

Calculating the Ebullioscopic Constant when Boiling Point Elevation, Molality and Van’t Hoff’s Factor is Given

k_b = ^δT_b / _{i x molality}

Where;
K_b = ebullioscopic constant
i = Van’t Hoff’s Factor
δT_b = boiling point elevation
Molality

Let’s solve an example;
Find the ebullioscopic constant when the boiling point elevation is 180 with a molality of 8 and a van’t hoff’s factor of 15.

This implies that;
δT_b = boiling point elevation = 180
i = Van’t Hoff’s Factor = 15
Molality = 8

k_b = ^δT_b / _{i x molality}
k_b = ¹⁸⁰ / _{15 x 8}
Then, k_b = ¹⁸⁰ / ₁₂₀
k_b = 1.5

Therefore, the ebullioscopic constant is 1.5.

How to Calculate Boiling Point Elevation Using The Calculator Encyclopedia

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the boiling point elevation.

To get the answer and workings of the boiling point elevation 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 Boiling Point Elevation under Basic Chemistry

The screenshot below displays the page or activity to enter your values, to get the answer for the boiling point elevation according to the respective parameters which are the Van’t Hoff’s Factor (i), Ebullioscopic Constant (K_b) and Molality.

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 42, Ebullioscopic Constant (K_b) is 60 and Molality is 180.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the boiling point elevation and presents the formula, workings and steps too.