Equilibrium Constant with respect to Mole Fraction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Equilibrium Constant for Mole Fraction = ((Equilibrium Mole Fraction C^No. of Moles of C)*(Equilibrium Mole Fraction D^No. of Moles of D))/((Equilibrium Mole Fraction A^Number of Moles of A)*(Equilibrium Mole Fraction B^No. of Moles of B))
Kχ = ((χC^c)*(χD^d))/((XA^a)*(χB^b))
This formula uses 9 Variables
Variables Used
Equilibrium Constant for Mole Fraction - (Measured in Mole per Cubic Meter) - Equilibrium Constant for Mole Fraction is the value of its reaction quotient at chemical equilibrium with respect to mole fraction.
Equilibrium Mole Fraction C - (Measured in Mole per Cubic Meter) - Equilibrium Mole Fraction C is the mole fraction for both homogeneous and heterogeneous reactions involving gas C.
No. of Moles of C - No. of Moles of C is the no. of moles of product C present in the equilibrium mixture.
Equilibrium Mole Fraction D - (Measured in Mole per Cubic Meter) - Equilibrium Mole Fraction D is the mole fraction for both homogeneous and heterogeneous reactions involving gas D.
No. of Moles of D - No. of Moles of D is the no. of moles of product D present in the equilibrium mixture.
Equilibrium Mole Fraction A - (Measured in Mole per Cubic Meter) - Equilibrium Mole Fraction A is the mole fraction for both homogeneous and heterogeneous reactions involving gas A.
Number of Moles of A - Number of Moles of A is the no. of moles of reactant A present in the equilibrium mixture.
Equilibrium Mole Fraction B - (Measured in Mole per Cubic Meter) - Equilibrium Mole Fraction Bis the mole fraction for both homogeneous and heterogeneous reactions involving gas B.
No. of Moles of B - No. of Moles of B is the no. of moles of reactant B present in the equilibrium mixture.
STEP 1: Convert Input(s) to Base Unit
Equilibrium Mole Fraction C: 8 Mole per Liter --> 8000 Mole per Cubic Meter (Check conversion ​here)
No. of Moles of C: 9 --> No Conversion Required
Equilibrium Mole Fraction D: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion ​here)
No. of Moles of D: 7 --> No Conversion Required
Equilibrium Mole Fraction A: 0.6218 Mole per Liter --> 621.8 Mole per Cubic Meter (Check conversion ​here)
Number of Moles of A: 17 --> No Conversion Required
Equilibrium Mole Fraction B: 6 Mole per Liter --> 6000 Mole per Cubic Meter (Check conversion ​here)
No. of Moles of B: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kχ = ((χC^c)*(χD^d))/((XA^a)*(χB^b)) --> ((8000^9)*(10000^7))/((621.8^17)*(6000^3))
Evaluating ... ...
Kχ = 20012.1583542469
STEP 3: Convert Result to Output's Unit
20012.1583542469 Mole per Cubic Meter -->20.0121583542469 Mole per Liter (Check conversion ​here)
FINAL ANSWER
20.0121583542469 20.01216 Mole per Liter <-- Equilibrium Constant for Mole Fraction
(Calculation completed in 00.020 seconds)

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Properties of Equilibrium Constant Calculators

Equilibrium Constant for Reverse Reaction
​ LaTeX ​ Go Reverse Equilibrium Constant = ((Equilibrium Concentration of A^Number of Moles of A)*(Equilibrium Concentration of B^No. of Moles of B))/((Equilibrium Concentration of C^No. of Moles of C)*(Equilibrium Concentration of D^No. of Moles of D))
Equilibrium Constant for Reaction when Multiplied with Integer
​ LaTeX ​ Go Equilibrium Constant Multiplied = (Equilibrium Constant^Number)
Weight of Reactant given Active Mass
​ LaTeX ​ Go Weight of Solute = Active mass*Molecular Weight
Active Mass
​ LaTeX ​ Go Active mass = Weight of Solute/Molecular Weight

Equilibrium Constant with respect to Mole Fraction Formula

​LaTeX ​Go
Equilibrium Constant for Mole Fraction = ((Equilibrium Mole Fraction C^No. of Moles of C)*(Equilibrium Mole Fraction D^No. of Moles of D))/((Equilibrium Mole Fraction A^Number of Moles of A)*(Equilibrium Mole Fraction B^No. of Moles of B))
Kχ = ((χC^c)*(χD^d))/((XA^a)*(χB^b))

What is Equilibrium constant with respect to mole fraction?

Equilibrium constants which is expressed in terms of the mole fraction and partial pressure is symbolized as Kx, for both homogeneous and heterogeneous reactions involving gases. If we have a mixture of gases (A, B, C, etc.), then the mole fraction of gas A is worked out by dividing the number of moles of A by the total number of moles of gas.
The mole fraction of gas A is often given the symbol xA. The mole fraction of gas B would be xB - and so on.

How to Calculate Equilibrium Constant with respect to Mole Fraction?

Equilibrium Constant with respect to Mole Fraction calculator uses Equilibrium Constant for Mole Fraction = ((Equilibrium Mole Fraction C^No. of Moles of C)*(Equilibrium Mole Fraction D^No. of Moles of D))/((Equilibrium Mole Fraction A^Number of Moles of A)*(Equilibrium Mole Fraction B^No. of Moles of B)) to calculate the Equilibrium Constant for Mole Fraction, The Equilibrium constant with respect to mole fraction formula is defined as the value of its reaction quotient at chemical equilibrium with respect to mole fraction. Equilibrium Constant for Mole Fraction is denoted by Kχ symbol.

How to calculate Equilibrium Constant with respect to Mole Fraction using this online calculator? To use this online calculator for Equilibrium Constant with respect to Mole Fraction, enter Equilibrium Mole Fraction C C), No. of Moles of C (c), Equilibrium Mole Fraction D D), No. of Moles of D (d), Equilibrium Mole Fraction A (XA), Number of Moles of A (a), Equilibrium Mole Fraction B B) & No. of Moles of B (b) and hit the calculate button. Here is how the Equilibrium Constant with respect to Mole Fraction calculation can be explained with given input values -> 8.1E-18 = ((8000^9)*(10000^7))/((621.8^17)*(6000^3)).

FAQ

What is Equilibrium Constant with respect to Mole Fraction?
The Equilibrium constant with respect to mole fraction formula is defined as the value of its reaction quotient at chemical equilibrium with respect to mole fraction and is represented as Kχ = ((χC^c)*(χD^d))/((XA^a)*(χB^b)) or Equilibrium Constant for Mole Fraction = ((Equilibrium Mole Fraction C^No. of Moles of C)*(Equilibrium Mole Fraction D^No. of Moles of D))/((Equilibrium Mole Fraction A^Number of Moles of A)*(Equilibrium Mole Fraction B^No. of Moles of B)). Equilibrium Mole Fraction C is the mole fraction for both homogeneous and heterogeneous reactions involving gas C, No. of Moles of C is the no. of moles of product C present in the equilibrium mixture, Equilibrium Mole Fraction D is the mole fraction for both homogeneous and heterogeneous reactions involving gas D, No. of Moles of D is the no. of moles of product D present in the equilibrium mixture, Equilibrium Mole Fraction A is the mole fraction for both homogeneous and heterogeneous reactions involving gas A, Number of Moles of A is the no. of moles of reactant A present in the equilibrium mixture, Equilibrium Mole Fraction Bis the mole fraction for both homogeneous and heterogeneous reactions involving gas B & No. of Moles of B is the no. of moles of reactant B present in the equilibrium mixture.
How to calculate Equilibrium Constant with respect to Mole Fraction?
The Equilibrium constant with respect to mole fraction formula is defined as the value of its reaction quotient at chemical equilibrium with respect to mole fraction is calculated using Equilibrium Constant for Mole Fraction = ((Equilibrium Mole Fraction C^No. of Moles of C)*(Equilibrium Mole Fraction D^No. of Moles of D))/((Equilibrium Mole Fraction A^Number of Moles of A)*(Equilibrium Mole Fraction B^No. of Moles of B)). To calculate Equilibrium Constant with respect to Mole Fraction, you need Equilibrium Mole Fraction C C), No. of Moles of C (c), Equilibrium Mole Fraction D D), No. of Moles of D (d), Equilibrium Mole Fraction A (XA), Number of Moles of A (a), Equilibrium Mole Fraction B B) & No. of Moles of B (b). With our tool, you need to enter the respective value for Equilibrium Mole Fraction C, No. of Moles of C, Equilibrium Mole Fraction D, No. of Moles of D, Equilibrium Mole Fraction A, Number of Moles of A, Equilibrium Mole Fraction B & No. of Moles of B and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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