Degree of Freedom given Molar Internal Energy of Ideal Gas Solution

STEP 0: Pre-Calculation Summary
Formula Used
Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas)
F = 2*U/(Nmoles*[R]*Tg)
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Degree of Freedom - The Degree of Freedom of a system is the number of parameters of the system that may vary independently.
Internal Energy - (Measured in Joule) - The internal energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state.
Number of Moles - Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the measure of hotness or coldness of a gas.
STEP 1: Convert Input(s) to Base Unit
Internal Energy: 121 Joule --> 121 Joule No Conversion Required
Number of Moles: 4 --> No Conversion Required
Temperature of Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = 2*U/(Nmoles*[R]*Tg) --> 2*121/(4*[R]*300)
Evaluating ... ...
F = 0.0242549249336164
STEP 3: Convert Result to Output's Unit
0.0242549249336164 --> No Conversion Required
FINAL ANSWER
0.0242549249336164 โ‰ˆ 0.024255 <-- Degree of Freedom
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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8 Ideal Gas Calculators

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)
Molar Internal Energy of Ideal Gas given Boltzmann Constant
Go Internal Energy = (Degree of Freedom*Number of Moles*[BoltZ]*Temperature of Gas)/2
Number of Moles given Internal Energy of Ideal Gas
Go Number of Moles = 2*Internal Energy/(Degree of Freedom*[BoltZ]*Temperature of Gas)
Temperature of Ideal Gas given its Internal Energy
Go Temperature of Gas = 2*Internal Energy/(Degree of Freedom*Number of Moles*[BoltZ])
Degree of Freedom given Molar Internal Energy of Ideal Gas
Go Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas)
Ideal Gas Law for Calculating Volume
Go Ideal Gas Law for Calculating Volume = [R]*Temperature of Gas/Total Pressure of Ideal Gas
Ideal Gas Law for Calculating Pressure
Go Ideal Gas Law for calculating Pressure = [R]*(Temperature of Gas)/Total Volume of System
Molar Internal Energy of Ideal Gas
Go Molar Internal Energy of Ideal gas = (Degree of Freedom*[R]*Temperature of Gas)/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 given Molar Internal Energy of Ideal Gas Formula

Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas)
F = 2*U/(Nmoles*[R]*Tg)

Define Degree of Freedom?

Degrees of Freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample. Degrees of Freedom are commonly discussed in relation to various forms of hypothesis testing in statistics, such as a Chi-Square.

How to Calculate Degree of Freedom given Molar Internal Energy of Ideal Gas?

Degree of Freedom given Molar Internal Energy of Ideal Gas calculator uses Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas) to calculate the Degree of Freedom, The Degree of Freedom given Molar Internal Energy of Ideal Gas formula refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample. Degree of Freedom is denoted by F symbol.

How to calculate Degree of Freedom given Molar Internal Energy of Ideal Gas using this online calculator? To use this online calculator for Degree of Freedom given Molar Internal Energy of Ideal Gas, enter Internal Energy (U), Number of Moles (Nmoles) & Temperature of Gas (Tg) and hit the calculate button. Here is how the Degree of Freedom given Molar Internal Energy of Ideal Gas calculation can be explained with given input values -> 0.024255 = 2*121/(4*[R]*300).

FAQ

What is Degree of Freedom given Molar Internal Energy of Ideal Gas?
The Degree of Freedom given Molar Internal Energy of Ideal Gas formula refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample and is represented as F = 2*U/(Nmoles*[R]*Tg) or Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas). The internal energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state, Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight & Temperature of Gas is the measure of hotness or coldness of a gas.
How to calculate Degree of Freedom given Molar Internal Energy of Ideal Gas?
The Degree of Freedom given Molar Internal Energy of Ideal Gas formula refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample is calculated using Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas). To calculate Degree of Freedom given Molar Internal Energy of Ideal Gas, you need Internal Energy (U), Number of Moles (Nmoles) & Temperature of Gas (Tg). With our tool, you need to enter the respective value for Internal Energy, Number of Moles & Temperature of Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Degree of Freedom?
In this formula, Degree of Freedom uses Internal Energy, Number of Moles & Temperature of Gas. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)
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