K Value Calculator

K Value Calculator:

Enter the values of mole fraction of the component in the vapour phase, y and mole fraction of the same component in the liquid phase, x to determine the value of Vapour-Liquid Equilibrium Ratio, K.

Enter Mole Fraction of the Component in the Vapour Phase:
Enter Mole Fraction of the Component in the Liquid Phase:
   
Result – Vapour-Liquid Equilibrium Ratio:

K Value Formula:

The K value, also known as the vapour-liquid equilibrium (VLE) ratio, represents the ratio of the mole fraction of a component in the vapour phase to its mole fraction in the liquid phase. It is a crucial parameter in chemical engineering, particularly in distillation, absorption, and phase equilibrium calculations.

The K value varies with temperature, pressure, and composition, making it essential for designing separation processes in industries such as petroleum refining, chemical manufacturing, and gas processing.

A high K value indicates that a component prefers the vapour phase, whereas a low K value suggests that it is more likely to remain in the liquid phase.

The K value plays a vital role in designing distillation columns, where the separation efficiency depends on the difference in K values between components.

At equilibrium, each component in a multi-component system has its own K value, which must be considered in mass balance and equilibrium stage calculations.

When temperature increases, volatile components tend to have higher K values, meaning they vaporize more readily, while non-volatile components remain in the liquid phase. K values helps engineers optimize separation processes, reducing energy consumption and improving efficiency.

Vapour-Liquid Equilibrium Ratio, K is equal to the mole fraction of the component in the vapour phase, y divided by the mole fraction of the same component in the liquid phase, x.

Vapour-Liquid Equilibrium Ratio, K = y / x

K = vapour-liquid equilibrium ratio.

x = mole fraction of the component in the liquid phase.

y = mole fraction of the component in the vapour phase.

K Value Calculation:

  1. Calculate the K value for a component in a mixture if its mole fraction in the vapour phase is 0.6 and its mole fraction in the liquid phase is 0.2.

Given: x = 0.2, y = 0.6.

Vapour-Liquid Equilibrium Ratio, K = y / x

K = 0.6 / 0.2

K = 3.

  1. A component has a K value of 2.5, and its mole fraction in the liquid phase is 0.4. Calculate the mole fraction of the component in the vapour phase.

Given: x = 0.4, K = 2.5.

Vapour-Liquid Equilibrium Ratio, K = y / x

y = K * x

y = 2.5 * 0.4

y = 1.0.

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