Total Number of Variables in System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2
Tv = p *(C-1)+2
This formula uses 3 Variables
Variables Used
Total Number of Variables in System - Total Number of Variables in System required to specify the state of the system are pressure, temperature, and concentration.
Number of Phases - Number of Phases is a form of matter that is homogeneous in chemical composition and physical state.
Number of Components in System - Number of Components in System is the number of chemically independent constituents of the system.
STEP 1: Convert Input(s) to Base Unit
Number of Phases: 4 --> No Conversion Required
Number of Components in System: 7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tv = p *(C-1)+2 --> 4*(7-1)+2
Evaluating ... ...
Tv = 26
STEP 3: Convert Result to Output's Unit
26 --> No Conversion Required
FINAL ANSWER
26 <-- Total Number of Variables in System
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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National Institute Of Technology (NIT), Hamirpur
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4 Gibbs Phase Rule Calculators

Total Number of Variables in System
Go Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2
Number of Components
Go Number of Components in System = Degree of Freedom+Number of Phases-2
Degree of Freedom
Go Degree of Freedom = Number of Components in System-Number of Phases+2
Number of Phases
Go Number of Phases = Number of Components in System-Degree of Freedom+2

16 Basic Formulas of Thermodynamics Calculators

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume
Go Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)
Liquid phase mole fraction using Gamma - phi formulation of VLE
Go Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure)
Isothermal Compression of Ideal Gas
Go Isothermal Work = Number of Moles*[R]*Temperature of Gas*2.303*log10(Final Volume of System/Initial Volume of System)
Isothermal Work using Pressure Ratio
Go Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System)
Isothermal Work Done by Gas
Go Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas)
Polytropic Work
Go Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index)
Isothermal Work using Volume Ratio
Go Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas)
Isothermal Work using Temperature
Go Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System)
Compressibility Factor
Go Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature)
Degree of Freedom given Molar Internal Energy of Ideal Gas
Go Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas)
Degree of Freedom given Equipartition Energy
Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)
Work Done in Isobaric Process
Go Isobaric Work = Pressure Object*(Final Volume of Gas-Initial Volume of Gas)
Total Number of Variables in System
Go Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2
Number of Components
Go Number of Components in System = Degree of Freedom+Number of Phases-2
Degree of Freedom
Go Degree of Freedom = Number of Components in System-Number of Phases+2
Number of Phases
Go Number of Phases = Number of Components in System-Degree of Freedom+2

Total Number of Variables in System Formula

Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2
Tv = p *(C-1)+2

What is the Total Number of Variables in a System?

The total number of variables required to specify the state of the system is Pressure, Temperature, Concentration.

How to Calculate Total Number of Variables in System?

Total Number of Variables in System calculator uses Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2 to calculate the Total Number of Variables in System, The Total Number of Variables in System is the independent concentration variables for P phases with respect to C components plus two. Total Number of Variables in System is denoted by Tv symbol.

How to calculate Total Number of Variables in System using this online calculator? To use this online calculator for Total Number of Variables in System, enter Number of Phases (p ) & Number of Components in System (C) and hit the calculate button. Here is how the Total Number of Variables in System calculation can be explained with given input values -> 26 = 4*(7-1)+2.

FAQ

What is Total Number of Variables in System?
The Total Number of Variables in System is the independent concentration variables for P phases with respect to C components plus two and is represented as Tv = p *(C-1)+2 or Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2. Number of Phases is a form of matter that is homogeneous in chemical composition and physical state & Number of Components in System is the number of chemically independent constituents of the system.
How to calculate Total Number of Variables in System?
The Total Number of Variables in System is the independent concentration variables for P phases with respect to C components plus two is calculated using Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2. To calculate Total Number of Variables in System, you need Number of Phases (p ) & Number of Components in System (C). With our tool, you need to enter the respective value for Number of Phases & Number of Components in System 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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