Number of Moles given Kinetic Energy Calculator

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✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy [KE]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Number of Moles given KE is the total number of particles present in the specific container.ⓘ Number of Moles given Kinetic Energy [N_KE]

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Number of Moles given Kinetic Energy

Formula

`"N"_{"KE"} = (2/3)*("KE"/("[R]"*"T"))`

Example

`"0.037733"=(2/3)*("40J"/("[R]"*"85K"))`

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Number of Moles given Kinetic Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Moles given KE = (2/3)*(Kinetic Energy/([R]*Temperature))
N_KE = (2/3)*(KE/([R]*T))
This formula uses 1 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Number of Moles given KE - Number of Moles given KE is the total number of particles present in the specific container.
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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 40 Joule --> 40 Joule No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_KE = (2/3)*(KE/([R]*T)) --> (2/3)*(40/([R]*85))

Evaluating ... ...

N_KE = 0.037732503542816

STEP 3: Convert Result to Output's Unit

0.037732503542816 --> No Conversion Required

FINAL ANSWER

0.037732503542816 ≈ 0.037733 <-- Number of Moles given KE

(Calculation completed in 00.006 seconds)

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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< 18 PIB Calculators

Number of Moles of Gas 1 given Kinetic Energy of both Gases

Go Number of Moles given KE of Two Gases = (Kinetic Energy of Gas 1/Kinetic Energy of Gas 2)*Number of Moles of Gas 2*(Temperature of Gas 2/Temperature of Gas 1)

Number of Moles of Gas 2 given Kinetic Energy of both Gases

Go Number of Moles given KE of Two Gases = Number of Moles of Gas 1*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1)*(Temperature of Gas 1/Temperature of Gas 2)

Mass of Each Gas Molecule in 3D Box given Pressure

Go Mass per Molecule given P = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*(Root Mean Square Speed)^2)

Mass of Each Gas Molecule in 2D Box given Pressure

Go Mass per Molecule given P = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*(Root Mean Square Speed)^2)

Number of Gas Molecules in 3D Box given Pressure

Go Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2)

Number of Gas Molecules in 2D Box given Pressure

Go Number of Molecules given P = (2*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2)

Speed of Gas Molecule in 1D given Pressure

Go Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule)

Speed of Gas Molecule given Force

Go Speed of Particle given F = sqrt((Force*Length of Rectangular Section)/Mass per Molecule)

Volume of Box having Gas Molecule given Pressure

Go Volume of Rectangular Box given P = (Mass per Molecule*(Speed of Particle)^2)/Pressure of Gas

Mass of Gas Molecule in 1D given Pressure

Go Mass per Molecule given P = (Pressure of Gas*Volume of Rectangular Box)/(Speed of Particle)^2

Pressure Exerted by Single Gas Molecule in 1D

Go Pressure of Gas in 1D = (Mass per Molecule*(Speed of Particle)^2)/Volume of Rectangular Box

Force by Gas Molecule on Wall of Box

Go Force on a wall = (Mass per Molecule*(Speed of Particle)^2)/Length of Rectangular Section

Mass of Gas Molecule given Force

Go Mass per Molecule given F = (Force*Length of Rectangular Section)/((Speed of Particle)^2)

Length of Box given Force

Go Length of Rectangular box = (Mass per Molecule*(Speed of Particle)^2)/Force

Number of Moles given Kinetic Energy

Go Number of Moles given KE = (2/3)*(Kinetic Energy/([R]*Temperature))

Speed of Particle in 3D Box

Go Speed of Particle given in 3D = (2*Length of Rectangular Section)/Time between Collision

Length of Rectangular Box given Time of Collision

Go Length of Rectangular box given T = (Time between Collision*Speed of Particle)/2

Time between Collisions of Particle and Walls

Go Time of Collision = (2*Length of Rectangular Section)/Speed of Particle

Number of Moles given Kinetic Energy Formula

Number of Moles given KE = (2/3)*(Kinetic Energy/([R]*Temperature))
N_KE = (2/3)*(KE/([R]*T))

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 Number of Moles given Kinetic Energy?

Number of Moles given Kinetic Energy calculator uses Number of Moles given KE = (2/3)*(Kinetic Energy/([R]*Temperature)) to calculate the Number of Moles given KE, The Number of moles given kinetic energy formula is defined as two-third of the ratio of kinetic energy to the gas constant and temperature. Number of Moles given KE is denoted by N_KE symbol.

How to calculate Number of Moles given Kinetic Energy using this online calculator? To use this online calculator for Number of Moles given Kinetic Energy, enter Kinetic Energy (KE) & Temperature (T) and hit the calculate button. Here is how the Number of Moles given Kinetic Energy calculation can be explained with given input values -> 0.037733 = (2/3)*(40/([R]*85)).

FAQ

What is Number of Moles given Kinetic Energy?

The Number of moles given kinetic energy formula is defined as two-third of the ratio of kinetic energy to the gas constant and temperature and is represented as N_KE = (2/3)*(KE/([R]*T)) or Number of Moles given KE = (2/3)*(Kinetic Energy/([R]*Temperature)). Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Number of Moles given Kinetic Energy?

The Number of moles given kinetic energy formula is defined as two-third of the ratio of kinetic energy to the gas constant and temperature is calculated using Number of Moles given KE = (2/3)*(Kinetic Energy/([R]*Temperature)). To calculate Number of Moles given Kinetic Energy, you need Kinetic Energy (KE) & Temperature (T). With our tool, you need to enter the respective value for Kinetic Energy & Temperature 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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