Ideal Gas Volume using Ideal Gas Mixture Model in Binary System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ideal Gas Volume = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Volume of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Volume of Component 2
Vig = y1*V1ig+y2*V2ig
This formula uses 5 Variables
Variables Used
Ideal Gas Volume - (Measured in Cubic Meter) - Ideal Gas volume is the volume in an ideal condition.
Mole Fraction of Component 1 in Vapour Phase - The mole fraction of component 1 in vapour phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the vapour phase.
Ideal Gas Volume of Component 1 - (Measured in Cubic Meter) - Ideal Gas volume of component 1 is the volume of component 1 in an ideal condition.
Mole Fraction of Component 2 in Vapour Phase - The Mole Fraction of Component 2 in Vapour Phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the vapour phase.
Ideal Gas Volume of Component 2 - (Measured in Cubic Meter) - Ideal Gas volume of component 2 is the volume of component 2 in an ideal condition.
STEP 1: Convert Input(s) to Base Unit
Mole Fraction of Component 1 in Vapour Phase: 0.5 --> No Conversion Required
Ideal Gas Volume of Component 1: 84 Cubic Meter --> 84 Cubic Meter No Conversion Required
Mole Fraction of Component 2 in Vapour Phase: 0.55 --> No Conversion Required
Ideal Gas Volume of Component 2: 74 Cubic Meter --> 74 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vig = y1*V1ig+y2*V2ig --> 0.5*84+0.55*74
Evaluating ... ...
Vig = 82.7
STEP 3: Convert Result to Output's Unit
82.7 Cubic Meter --> No Conversion Required
FINAL ANSWER
82.7 Cubic Meter <-- Ideal Gas Volume
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
Shivam Sinha has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

Ideal Gas Mixture Model Calculators

Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System
​ LaTeX ​ Go Ideal Gas Gibbs Free Energy = modulus((Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Gibbs Free Energy of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Gibbs Free Energy of Component 2)+[R]*Temperature*(Mole Fraction of Component 1 in Vapour Phase*ln(Mole Fraction of Component 1 in Vapour Phase)+Mole Fraction of Component 2 in Vapour Phase*ln(Mole Fraction of Component 2 in Vapour Phase)))
Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System
​ LaTeX ​ Go Ideal Gas Entropy = (Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Entropy of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Entropy of Component 2)-[R]*(Mole Fraction of Component 1 in Vapour Phase*ln(Mole Fraction of Component 1 in Vapour Phase)+Mole Fraction of Component 2 in Vapour Phase*ln(Mole Fraction of Component 2 in Vapour Phase))
Ideal Gas Enthalpy using Ideal Gas Mixture Model in Binary System
​ LaTeX ​ Go Ideal Gas Enthalpy = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Enthalpy of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Enthalpy of Component 2
Ideal Gas Volume using Ideal Gas Mixture Model in Binary System
​ LaTeX ​ Go Ideal Gas Volume = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Volume of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Volume of Component 2

Ideal Gas Volume using Ideal Gas Mixture Model in Binary System Formula

​LaTeX ​Go
Ideal Gas Volume = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Volume of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Volume of Component 2
Vig = y1*V1ig+y2*V2ig

Define Ideal Gas.

An ideal gas is a theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept is useful because it obeys the ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics. The requirement of zero interaction can often be relaxed if, for example, the interaction is perfectly elastic or regarded as point-like collisions. Under various conditions of temperature and pressure, many real gases behave qualitatively like an ideal gas where the gas molecules (or atoms for monatomic gas) play the role of the ideal particles.

What is Duhem’s Theorem?

For any closed system formed from known amounts of prescribed chemical species, the equilibrium state is completely determined when any two independent variables are fixed. The two independent variables subject to specification may in general be either intensive or extensive. However, the number of independent intensive variables is given by the phase rule. Thus when F = 1, at least one of the two variables must be extensive, and when F = 0, both must be extensive.

How to Calculate Ideal Gas Volume using Ideal Gas Mixture Model in Binary System?

Ideal Gas Volume using Ideal Gas Mixture Model in Binary System calculator uses Ideal Gas Volume = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Volume of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Volume of Component 2 to calculate the Ideal Gas Volume, The Ideal Gas Volume using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas volume of both components and mole fraction of both components in vapour phase in the binary system. Ideal Gas Volume is denoted by Vig symbol.

How to calculate Ideal Gas Volume using Ideal Gas Mixture Model in Binary System using this online calculator? To use this online calculator for Ideal Gas Volume using Ideal Gas Mixture Model in Binary System, enter Mole Fraction of Component 1 in Vapour Phase (y1), Ideal Gas Volume of Component 1 (V1ig), Mole Fraction of Component 2 in Vapour Phase (y2) & Ideal Gas Volume of Component 2 (V2ig) and hit the calculate button. Here is how the Ideal Gas Volume using Ideal Gas Mixture Model in Binary System calculation can be explained with given input values -> 82.7 = 0.5*84+0.55*74.

FAQ

What is Ideal Gas Volume using Ideal Gas Mixture Model in Binary System?
The Ideal Gas Volume using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas volume of both components and mole fraction of both components in vapour phase in the binary system and is represented as Vig = y1*V1ig+y2*V2ig or Ideal Gas Volume = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Volume of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Volume of Component 2. The mole fraction of component 1 in vapour phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the vapour phase, Ideal Gas volume of component 1 is the volume of component 1 in an ideal condition, The Mole Fraction of Component 2 in Vapour Phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the vapour phase & Ideal Gas volume of component 2 is the volume of component 2 in an ideal condition.
How to calculate Ideal Gas Volume using Ideal Gas Mixture Model in Binary System?
The Ideal Gas Volume using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas volume of both components and mole fraction of both components in vapour phase in the binary system is calculated using Ideal Gas Volume = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Volume of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Volume of Component 2. To calculate Ideal Gas Volume using Ideal Gas Mixture Model in Binary System, you need Mole Fraction of Component 1 in Vapour Phase (y1), Ideal Gas Volume of Component 1 (V1ig), Mole Fraction of Component 2 in Vapour Phase (y2) & Ideal Gas Volume of Component 2 (V2ig). With our tool, you need to enter the respective value for Mole Fraction of Component 1 in Vapour Phase, Ideal Gas Volume of Component 1, Mole Fraction of Component 2 in Vapour Phase & Ideal Gas Volume of Component 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!