Kinetic Energy given n Mole of Gas Solution

STEP 0: Pre-Calculation Summary
Formula Used
Kinetic Energy = (3/2)*Total Number of Moles *[R]*Temperature of Gas
KE = (3/2)*NT *[R]*Tg
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Total Number of Moles - (Measured in Mole) - Total Number of Moles is the total number of moles present in the system.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
STEP 1: Convert Input(s) to Base Unit
Total Number of Moles: 8 Mole --> 8 Mole No Conversion Required
Temperature of Gas: 30 Kelvin --> 30 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KE = (3/2)*NT *[R]*Tg --> (3/2)*8 *[R]*30
Evaluating ... ...
KE = 2993.20654253517
STEP 3: Convert Result to Output's Unit
2993.20654253517 Joule --> No Conversion Required
FINAL ANSWER
2993.20654253517 2993.207 Joule <-- Kinetic Energy
(Calculation completed in 00.004 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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5 Kinetic Energy of Gas Calculators

Kinetic Energy of Gas 2 if Mixture of Two Gas is Present
Go Kinetic Energy of Gas 2 = Kinetic Energy of Gas 1*(Number of Moles of Gas 2/Number of Moles of Gas 1)*(Temperature of Gas 2/Temperature of Gas 1)
Kinetic Energy of Gas 1 if Mixture of Gas is Present
Go Kinetic Energy of Gas 1 = Kinetic Energy of Gas 2*(Number of Moles of Gas 1/Number of Moles of Gas 2)*(Temperature of Gas 1/Temperature of Gas 2)
Kinetic Energy given n Mole of Gas
Go Kinetic Energy = (3/2)*Total Number of Moles *[R]*Temperature of Gas
Kinetic Energy given Pressure and Volume of Gas
Go Kinetic Energy = (3/2)*Pressure of Gas*Volume of Gas
Kinetic Energy of One Gas Molecule given Boltzmann Constant
Go Kinetic Energy = (3/2)*[BoltZ]*Temperature of Gas

Kinetic Energy given n Mole of Gas Formula

Kinetic Energy = (3/2)*Total Number of Moles *[R]*Temperature of Gas
KE = (3/2)*NT *[R]*Tg

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Kinetic Energy given n Mole of Gas?

Kinetic Energy given n Mole of Gas calculator uses Kinetic Energy = (3/2)*Total Number of Moles *[R]*Temperature of Gas to calculate the Kinetic Energy, The Kinetic energy given n mole of gas formula is defined as the product number of moles of gas and gas constant at the particular temperature. Kinetic Energy is denoted by KE symbol.

How to calculate Kinetic Energy given n Mole of Gas using this online calculator? To use this online calculator for Kinetic Energy given n Mole of Gas, enter Total Number of Moles (NT) & Temperature of Gas (Tg) and hit the calculate button. Here is how the Kinetic Energy given n Mole of Gas calculation can be explained with given input values -> 2993.207 = (3/2)*8 *[R]*30.

FAQ

What is Kinetic Energy given n Mole of Gas?
The Kinetic energy given n mole of gas formula is defined as the product number of moles of gas and gas constant at the particular temperature and is represented as KE = (3/2)*NT *[R]*Tg or Kinetic Energy = (3/2)*Total Number of Moles *[R]*Temperature of Gas. Total Number of Moles is the total number of moles present in the system & The temperature of Gas is the measure of hotness or coldness of a gas.
How to calculate Kinetic Energy given n Mole of Gas?
The Kinetic energy given n mole of gas formula is defined as the product number of moles of gas and gas constant at the particular temperature is calculated using Kinetic Energy = (3/2)*Total Number of Moles *[R]*Temperature of Gas. To calculate Kinetic Energy given n Mole of Gas, you need Total Number of Moles (NT) & Temperature of Gas (Tg). With our tool, you need to enter the respective value for Total 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 Kinetic Energy?
In this formula, Kinetic Energy uses Total Number of Moles & Temperature of Gas. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Kinetic Energy = (3/2)*Pressure of Gas*Volume of Gas
  • Kinetic Energy = (3/2)*[BoltZ]*Temperature of Gas
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