Temperature of Gas 2 given Kinetic Energy of both Gases Calculator

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✖The Temperature of Gas 1 is the measure of the hotness or coldness of a gas.ⓘ Temperature of Gas 1 [T₁]			+10% -10%
✖The Number of Moles of Gas 1 is the total number of moles of the gas 1.ⓘ Number of Moles of Gas 1 [n₁]			+10% -10%
✖The Number of Moles of Gas 2 is the total number of moles present in gas 2.ⓘ Number of Moles of Gas 2 [n₂]			+10% -10%
✖The Kinetic Energy of Gas 2 is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.ⓘ Kinetic Energy of Gas 2 [KE₂]			+10% -10%
✖The Kinetic Energy of Gas 1 is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.ⓘ Kinetic Energy of Gas 1 [KE₁]			+10% -10%

✖The Temperature of Gas 2 is the hotness and coldness of the gas.ⓘ Temperature of Gas 2 given Kinetic Energy of both Gases [T₂]

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Formula

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Temperature of Gas 2 given Kinetic Energy of both Gases

Formula

`"T"_{"2"} = "T"_{"1"}*("n"_{"1"}/"n"_{"2"})*("KE"_{"2"}/"KE"_{"1"})`

Example

`"200K"="200K"*("6mol"/"3mol")*("60J"/"120J")`

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Download Kinetic Theory of Gases Formula PDF

Temperature of Gas 2 given Kinetic Energy of both Gases Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas 2 = Temperature of Gas 1*(Number of Moles of Gas 1/Number of Moles of Gas 2)*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1)
T₂ = T₁*(n₁/n₂)*(KE₂/KE₁)
This formula uses 6 Variables

Variables Used

Temperature of Gas 2 - (Measured in Kelvin) - The Temperature of Gas 2 is the hotness and coldness of the gas.
Temperature of Gas 1 - (Measured in Kelvin) - The Temperature of Gas 1 is the measure of the hotness or coldness of a gas.
Number of Moles of Gas 1 - (Measured in Mole) - The Number of Moles of Gas 1 is the total number of moles of the gas 1.
Number of Moles of Gas 2 - (Measured in Mole) - The Number of Moles of Gas 2 is the total number of moles present in gas 2.
Kinetic Energy of Gas 2 - (Measured in Joule) - The Kinetic Energy of Gas 2 is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.
Kinetic Energy of Gas 1 - (Measured in Joule) - The Kinetic Energy of Gas 1 is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas 1: 200 Kelvin --> 200 Kelvin No Conversion Required
Number of Moles of Gas 1: 6 Mole --> 6 Mole No Conversion Required
Number of Moles of Gas 2: 3 Mole --> 3 Mole No Conversion Required
Kinetic Energy of Gas 2: 60 Joule --> 60 Joule No Conversion Required
Kinetic Energy of Gas 1: 120 Joule --> 120 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T₂ = T₁*(n₁/n₂)*(KE₂/KE₁) --> 200*(6/3)*(60/120)

Evaluating ... ...

T₂ = 200

STEP 3: Convert Result to Output's Unit

200 Kelvin --> No Conversion Required

FINAL ANSWER

200 Kelvin <-- Temperature of Gas 2

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

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

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< 12 Temperature of Gas Calculators

Temperature of Gas 1 given Kinetic Energy of both Gases

Go Temperature of Gas 1 = Temperature of Gas 2*(Kinetic Energy of Gas 1/Kinetic Energy of Gas 2)*(Number of Moles of Gas 2/Number of Moles of Gas 1)

Temperature of Gas 2 given Kinetic Energy of both Gases

Go Temperature of Gas 2 = Temperature of Gas 1*(Number of Moles of Gas 1/Number of Moles of Gas 2)*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1)

Temperature of Gas given Compressibility Factor

Go Temperature of Gas = (Pressure of Gas*Molar Volume of Real Gas)/([R]*Compressibility Factor)

Temperature of Gas given Average Velocity in 2D

Go Temperature of Gas = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*[R])

Temperature of Gas given Average Velocity

Go Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R])

Temperature given Most Probable Speed and Molar Mass

Go Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R])

Temperature of Gas given Root Mean Square Speed and Molar Mass in 2D

Go Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*[R])

Temperature of Gas given Root Mean Square Speed and Molar Mass

Go Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*[R])

Temperature given Most Probable Speed and Molar Mass in 2D

Go Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/([R])

Temperature of Gas given Root Mean Square Speed and Molar Mass in 1D

Go Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/([R])

Temperature of Gas given Kinetic Energy

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

Temperature of One Gas Molecule given Boltzmann Constant

Go Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ])

Temperature of Gas 2 given Kinetic Energy of both Gases Formula

Temperature of Gas 2 = Temperature of Gas 1*(Number of Moles of Gas 1/Number of Moles of Gas 2)*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1)
T₂ = T₁*(n₁/n₂)*(KE₂/KE₁)

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 Temperature of Gas 2 given Kinetic Energy of both Gases?

Temperature of Gas 2 given Kinetic Energy of both Gases calculator uses Temperature of Gas 2 = Temperature of Gas 1*(Number of Moles of Gas 1/Number of Moles of Gas 2)*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1) to calculate the Temperature of Gas 2, The Temperature of Gas 2 given Kinetic Energy of both Gases formula is defined as the product of temperature of the first gas and the ratios of a number of moles and kinetic energy of the mixture of gases. Temperature of Gas 2 is denoted by T₂ symbol.

How to calculate Temperature of Gas 2 given Kinetic Energy of both Gases using this online calculator? To use this online calculator for Temperature of Gas 2 given Kinetic Energy of both Gases, enter Temperature of Gas 1 (T₁), Number of Moles of Gas 1 (n₁), Number of Moles of Gas 2 (n₂), Kinetic Energy of Gas 2 (KE₂) & Kinetic Energy of Gas 1 (KE₁) and hit the calculate button. Here is how the Temperature of Gas 2 given Kinetic Energy of both Gases calculation can be explained with given input values -> 200 = 200*(6/3)*(60/120).

FAQ

What is Temperature of Gas 2 given Kinetic Energy of both Gases?

The Temperature of Gas 2 given Kinetic Energy of both Gases formula is defined as the product of temperature of the first gas and the ratios of a number of moles and kinetic energy of the mixture of gases and is represented as T₂ = T₁*(n₁/n₂)*(KE₂/KE₁) or Temperature of Gas 2 = Temperature of Gas 1*(Number of Moles of Gas 1/Number of Moles of Gas 2)*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1). The Temperature of Gas 1 is the measure of the hotness or coldness of a gas, The Number of Moles of Gas 1 is the total number of moles of the gas 1, The Number of Moles of Gas 2 is the total number of moles present in gas 2, The Kinetic Energy of Gas 2 is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy & The Kinetic Energy of Gas 1 is proportional to the absolute temperature of the gas, and all gases at the same temperature have the same average kinetic energy.

How to calculate Temperature of Gas 2 given Kinetic Energy of both Gases?

The Temperature of Gas 2 given Kinetic Energy of both Gases formula is defined as the product of temperature of the first gas and the ratios of a number of moles and kinetic energy of the mixture of gases is calculated using Temperature of Gas 2 = Temperature of Gas 1*(Number of Moles of Gas 1/Number of Moles of Gas 2)*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1). To calculate Temperature of Gas 2 given Kinetic Energy of both Gases, you need Temperature of Gas 1 (T₁), Number of Moles of Gas 1 (n₁), Number of Moles of Gas 2 (n₂), Kinetic Energy of Gas 2 (KE₂) & Kinetic Energy of Gas 1 (KE₁). With our tool, you need to enter the respective value for Temperature of Gas 1, Number of Moles of Gas 1, Number of Moles of Gas 2, Kinetic Energy of Gas 2 & Kinetic Energy of Gas 1 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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