Internal Energy of Ideal Gas using Law of Equipartition Energy Calculator

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Distance of Closest Approach

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✖Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.ⓘ Degree of Freedom [F]			+10% -10%
✖Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.ⓘ Number of Moles [N_moles]			+10% -10%
✖Temperature of Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Gas [T_g]			+10% -10%

✖The Internal Molar Energy given EP 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.ⓘ Internal Energy of Ideal Gas using Law of Equipartition Energy [U_EP]

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Internal Energy of Ideal Gas using Law of Equipartition Energy

Formula

`"U"_{"EP"} = ("F"/2)*"N"_{"moles"}*"[R]"*"T"_{"g"}`

Example

`"3554.433J/mol"=("5"/2)*"2"*"[R]"*"85.5K"`

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Internal Energy of Ideal Gas using Law of Equipartition Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas
U_EP = (F/2)*N_moles*[R]*T_g
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Internal Molar Energy given EP - (Measured in Joule Per Mole) - The Internal Molar Energy given EP 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.
Degree of Freedom - Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.
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 degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Degree of Freedom: 5 --> No Conversion Required
Number of Moles: 2 --> No Conversion Required
Temperature of Gas: 85.5 Kelvin --> 85.5 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_EP = (F/2)*N_moles*[R]*T_g --> (5/2)*2*[R]*85.5

Evaluating ... ...

U_EP = 3554.43276926051

STEP 3: Convert Result to Output's Unit

3554.43276926051 Joule Per Mole --> No Conversion Required

FINAL ANSWER

3554.43276926051 ≈ 3554.433 Joule Per Mole <-- Internal Molar Energy given EP

(Calculation completed in 00.022 seconds)

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Internal Energy of Ideal Gas using Law of Equipartition Energy

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Internal Energy of Ideal Gas using Law of Equipartition Energy Formula

Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas
U_EP = (F/2)*N_moles*[R]*T_g

What is Law of Equipartition Energy?

Law of equipartition of energy states that for a dynamical system in thermal equilibrium the total energy of the system is shared equally by all the degrees of freedom.

How to Calculate Internal Energy of Ideal Gas using Law of Equipartition Energy?

Internal Energy of Ideal Gas using Law of Equipartition Energy calculator uses Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas to calculate the Internal Molar Energy given EP, The Internal Energy of Ideal Gas using Law of Equipartition Energy formula is defined as the equal division of the energy of a system in thermal equilibrium between different degrees of freedom. Internal Molar Energy given EP is denoted by U_EP symbol.

How to calculate Internal Energy of Ideal Gas using Law of Equipartition Energy using this online calculator? To use this online calculator for Internal Energy of Ideal Gas using Law of Equipartition Energy, enter Degree of Freedom (F), Number of Moles (N_moles) & Temperature of Gas (T_g) and hit the calculate button. Here is how the Internal Energy of Ideal Gas using Law of Equipartition Energy calculation can be explained with given input values -> 3554.433 = (5/2)*2*[R]*85.5.

FAQ

What is Internal Energy of Ideal Gas using Law of Equipartition Energy?

The Internal Energy of Ideal Gas using Law of Equipartition Energy formula is defined as the equal division of the energy of a system in thermal equilibrium between different degrees of freedom and is represented as U_EP = (F/2)*N_moles*[R]*T_g or Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas. Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system, 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 degree or intensity of heat present in a substance or object.

How to calculate Internal Energy of Ideal Gas using Law of Equipartition Energy?

The Internal Energy of Ideal Gas using Law of Equipartition Energy formula is defined as the equal division of the energy of a system in thermal equilibrium between different degrees of freedom is calculated using Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas. To calculate Internal Energy of Ideal Gas using Law of Equipartition Energy, you need Degree of Freedom (F), Number of Moles (N_moles) & Temperature of Gas (T_g). With our tool, you need to enter the respective value for Degree of Freedom, 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.

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