Temperature given Internal Molar Energy of Linear Molecule Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = Internal Molar Energy/((6*Atomicity)-5)*(0.5*[R])
T = U/((6*N)-5)*(0.5*[R])
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Internal Molar Energy - (Measured in Joule Per Mole) - The Internal Molar 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.
Atomicity - The Atomicity is defined as the total number of atoms present in a molecule or element.
STEP 1: Convert Input(s) to Base Unit
Internal Molar Energy: 700 Joule Per Mole --> 700 Joule Per Mole No Conversion Required
Atomicity: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = U/((6*N)-5)*(0.5*[R]) --> 700/((6*3)-5)*(0.5*[R])
Evaluating ... ...
T = 223.850916642587
STEP 3: Convert Result to Output's Unit
223.850916642587 Kelvin --> No Conversion Required
FINAL ANSWER
223.850916642587 223.8509 Kelvin <-- Temperature
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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K J Somaiya College of science (K J Somaiya), Mumbai
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8 Temperature Calculators

Temperature given Internal Molar Energy of Non-Linear Molecule
Go Temperature = Internal Molar Energy/((6*Atomicity)-6)*(0.5*[R])
Temperature given Internal Molar Energy of Linear Molecule
Go Temperature = Internal Molar Energy/((6*Atomicity)-5)*(0.5*[R])
Temperature given Molar Vibrational Energy of Non-Linear Molecule
Go Temperature = Molar Vibrational Energy/(((3*Atomicity)-6)*[R])
Temperature given Molar Vibrational Energy of Linear Molecule
Go Temperature = Molar Vibrational Energy/(((3*Atomicity)-5)*[R])
Temperature given Average Thermal Energy of Non-Linear Polyatomic Gas Molecule
Go Temperature = Thermal Energy/((6*Atomicity)-6)*(0.5*[BoltZ])
Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule
Go Temperature = Thermal Energy/((6*Atomicity)-5)*(0.5*[BoltZ])
Temperature given Vibrational Energy of Non-Linear Molecule
Go Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ])
Temperature given Vibrational Energy of Linear Molecule
Go Temperature = Vibrational Energy/(((3*Atomicity)-5)*[BoltZ])

Temperature given Internal Molar Energy of Linear Molecule Formula

Temperature = Internal Molar Energy/((6*Atomicity)-5)*(0.5*[R])
T = U/((6*N)-5)*(0.5*[R])

What is the statement of Equipartition Theorem?

The original concept of equipartition was that the total kinetic energy of a system is shared equally among all of its independent parts, on the average, once the system has reached thermal equilibrium. Equipartition also makes quantitative predictions for these energies. The key point is that the kinetic energy is quadratic in the velocity. The equipartition theorem shows that in thermal equilibrium, any degree of freedom (such as a component of the position or velocity of a particle) which appears only quadratically in the energy has an average energy of ​1⁄2kBT and therefore contributes ​1⁄2kB to the system's heat capacity.

How to Calculate Temperature given Internal Molar Energy of Linear Molecule?

Temperature given Internal Molar Energy of Linear Molecule calculator uses Temperature = Internal Molar Energy/((6*Atomicity)-5)*(0.5*[R]) to calculate the Temperature, The Temperature given Internal Molar Energy of Linear Molecule the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale. Temperature is denoted by T symbol.

How to calculate Temperature given Internal Molar Energy of Linear Molecule using this online calculator? To use this online calculator for Temperature given Internal Molar Energy of Linear Molecule, enter Internal Molar Energy (U) & Atomicity (N) and hit the calculate button. Here is how the Temperature given Internal Molar Energy of Linear Molecule calculation can be explained with given input values -> 223.8509 = 700/((6*3)-5)*(0.5*[R]).

FAQ

What is Temperature given Internal Molar Energy of Linear Molecule?
The Temperature given Internal Molar Energy of Linear Molecule the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and is represented as T = U/((6*N)-5)*(0.5*[R]) or Temperature = Internal Molar Energy/((6*Atomicity)-5)*(0.5*[R]). The Internal Molar 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 & The Atomicity is defined as the total number of atoms present in a molecule or element.
How to calculate Temperature given Internal Molar Energy of Linear Molecule?
The Temperature given Internal Molar Energy of Linear Molecule the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale is calculated using Temperature = Internal Molar Energy/((6*Atomicity)-5)*(0.5*[R]). To calculate Temperature given Internal Molar Energy of Linear Molecule, you need Internal Molar Energy (U) & Atomicity (N). With our tool, you need to enter the respective value for Internal Molar Energy & Atomicity 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 Temperature?
In this formula, Temperature uses Internal Molar Energy & Atomicity. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Temperature = Thermal Energy/((6*Atomicity)-5)*(0.5*[BoltZ])
  • Temperature = Thermal Energy/((6*Atomicity)-6)*(0.5*[BoltZ])
  • Temperature = Internal Molar Energy/((6*Atomicity)-6)*(0.5*[R])
  • Temperature = Molar Vibrational Energy/(((3*Atomicity)-5)*[R])
  • Temperature = Molar Vibrational Energy/(((3*Atomicity)-6)*[R])
  • Temperature = Vibrational Energy/(((3*Atomicity)-5)*[BoltZ])
  • Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ])
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