Degree of Freedom given Equipartition Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)
F = 2*K/([BoltZ]*Tgb)
This formula uses 1 Constants, 3 Variables
Constants Used
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
Variables Used
Degree of Freedom - The Degree of Freedom of a system is the number of parameters of the system that may vary independently.
Equipartition Energy - (Measured in Joule) - Equipartition energy theorem is related to the temperature of the system and its average kinetic and potential energy. This theorem is also called the law of equipartition of energy.
Temperature of Gas B - (Measured in Kelvin) - Temperature of Gas B is the measure of hotness or coldness of gas B.
STEP 1: Convert Input(s) to Base Unit
Equipartition Energy: 107 Joule --> 107 Joule No Conversion Required
Temperature of Gas B: 90 Kelvin --> 90 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = 2*K/([BoltZ]*Tgb) --> 2*107/([BoltZ]*90)
Evaluating ... ...
F = 1.72221803256471E+23
STEP 3: Convert Result to Output's Unit
1.72221803256471E+23 --> No Conversion Required
FINAL ANSWER
1.72221803256471E+23 1.7E+23 <-- Degree of Freedom
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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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

15 Basics of Thermodynamics Calculators

Density of Two Liquids
Go Density of Two Liquids = (Mass of Liquid A+Mass of Liquid B)/(Mass of Liquid A/Density of Liquid A+Mass of Liquid B/Density of Liquid B)
Van der Waals Equation
Go Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2
Average Speed of Gases
Go Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))
Molar Mass of Gas given Average Speed of Gas
Go Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
Most Probable Speed
Go Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass)
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Change in Momentum
Go Change in Momentum = Mass of Body*(Initial Velocity at Point 2-Initial Velocity at Point 1)
Input Power to Turbine or Power given to Turbine
Go Power = Density*Acceleration due to Gravity*Discharge*Head
Degree of Freedom given Equipartition Energy
Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)
Molar Mass of Gas given RMS Velocity of Gas
Go Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
Molar Mass of Gas given Most Probable Speed of Gas
Go Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2
Refrigerator Work
Go Refrigerator Work = Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir
Stefan Boltzmann Law
Go Black-Body Radiant Emittance = [Stefan-BoltZ]*Temperature^(4)
Specific Gas Constant
Go Specific Gas Constant = [R]/Molar Mass
Absolute Humidity
Go Absolute Humidity = Weight/Volume of Gas

Degree of Freedom given Equipartition Energy Formula

Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)
F = 2*K/([BoltZ]*Tgb)

What do you mean by equipartition energy?

The equipartition theorem is related to the temperature of the system and its average kinetic and potential energy. This theorem is also called the law of equipartition of energy or just equipartition.

What is Degree of freedom?

The degrees of freedom refer to the number of ways a molecule in the gas phase may move, rotate, or vibrate in space. The number of degrees of freedom a molecule possesses plays a role in estimating the values of various thermodynamic variables using the equipartition theorem.

How to Calculate Degree of Freedom given Equipartition Energy?

Degree of Freedom given Equipartition Energy calculator uses Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B) to calculate the Degree of Freedom, The Degree of Freedom given Equipartition Energy 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 Equipartition Energy using this online calculator? To use this online calculator for Degree of Freedom given Equipartition Energy, enter Equipartition Energy (K) & Temperature of Gas B (Tgb) and hit the calculate button. Here is how the Degree of Freedom given Equipartition Energy calculation can be explained with given input values -> 1.7E+23 = 2*107/([BoltZ]*90).

FAQ

What is Degree of Freedom given Equipartition Energy?
The Degree of Freedom given Equipartition Energy 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*K/([BoltZ]*Tgb) or Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B). Equipartition energy theorem is related to the temperature of the system and its average kinetic and potential energy. This theorem is also called the law of equipartition of energy & Temperature of Gas B is the measure of hotness or coldness of gas B.
How to calculate Degree of Freedom given Equipartition Energy?
The Degree of Freedom given Equipartition Energy 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*Equipartition Energy/([BoltZ]*Temperature of Gas B). To calculate Degree of Freedom given Equipartition Energy, you need Equipartition Energy (K) & Temperature of Gas B (Tgb). With our tool, you need to enter the respective value for Equipartition Energy & Temperature of Gas B 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 Equipartition Energy & Temperature of Gas B. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas)
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