Degree of Freedom Calculator

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Crystallography

Basics

Parameters

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Gibbs Phase Rule

Body Centered Cubic

Face Centered Crystal

Simple Cubic Cell

✖Number of Components in System is the number of chemically independent constituents of the system.ⓘ Number of Components in System [C]			+10% -10%
✖Number of Phases is a form of matter that is homogeneous in chemical composition and physical state.ⓘ Number of Phases [p]			+10% -10%

✖The Degree of Freedom of a system is the number of parameters of the system that may vary independently.ⓘ Degree of Freedom [F]

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Formula

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Degree of Freedom

Formula

`"F" = "C"-"p"_{" "}+2`

Example

`"5"="7"-"4"+2`

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Degree of Freedom Solution

STEP 0: Pre-Calculation Summary

Formula Used

Degree of Freedom = Number of Components in System-Number of Phases+2
F = C-p+2
This formula uses 3 Variables

Variables Used

Degree of Freedom - The Degree of Freedom of a system is the number of parameters of the system that may vary independently.
Number of Components in System - Number of Components in System is the number of chemically independent constituents of the system.
Number of Phases - Number of Phases is a form of matter that is homogeneous in chemical composition and physical state.

STEP 1: Convert Input(s) to Base Unit

Number of Components in System: 7 --> No Conversion Required
Number of Phases: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = C-p+2 --> 7-4+2

Evaluating ... ...

F = 5

STEP 3: Convert Result to Output's Unit

5 --> No Conversion Required

FINAL ANSWER

5 <-- Degree of Freedom

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Anshika Arya

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

Degree of Freedom Formula

Degree of Freedom = Number of Components in System-Number of Phases+2
F = C-p+2

What is Degree of Freedom?

The number of degrees of freedom is the number of independent intensive variables, i.e. the largest number of thermodynamic parameters such as temperature or pressure that can be varied simultaneously and arbitrarily without determining one another.

How to Calculate Degree of Freedom?

Degree of Freedom calculator uses Degree of Freedom = Number of Components in System-Number of Phases+2 to calculate the Degree of Freedom, The Degree of Freedom is defined as the number of intensive variables that are independent of each other. Degree of Freedom is denoted by F symbol.

How to calculate Degree of Freedom using this online calculator? To use this online calculator for Degree of Freedom, enter Number of Components in System (C) & Number of Phases (p) and hit the calculate button. Here is how the Degree of Freedom calculation can be explained with given input values -> 3 = 7-4+2.

FAQ

What is Degree of Freedom?

The Degree of Freedom is defined as the number of intensive variables that are independent of each other and is represented as F = C-p+2 or Degree of Freedom = Number of Components in System-Number of Phases+2. Number of Components in System is the number of chemically independent constituents of the system & Number of Phases is a form of matter that is homogeneous in chemical composition and physical state.

How to calculate Degree of Freedom?

The Degree of Freedom is defined as the number of intensive variables that are independent of each other is calculated using Degree of Freedom = Number of Components in System-Number of Phases+2. To calculate Degree of Freedom, you need Number of Components in System (C) & Number of Phases (p). With our tool, you need to enter the respective value for Number of Components in System & Number of Phases 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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