Temperature of Gas given Compressibility Factor Calculator

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✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas [P_gas]			+10% -10%
✖The Molar Volume of Real Gas is the volume occupied divided by the amount of real gas at a given temperature and pressure.ⓘ Molar Volume of Real Gas [V_m]			+10% -10%
✖Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.ⓘ Compressibility Factor [z]			+10% -10%

✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas given Compressibility Factor [T_g]

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Formula

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Temperature of Gas given Compressibility Factor

Formula

`"T"_{"g"} = ("P"_{"gas"}*"V"_{"m"})/("[R]"*"z")`

Example

`"5E^-5K"=("0.215Pa"*"22L")/("[R]"*"11.31975")`

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Temperature of Gas given Compressibility Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = (Pressure of Gas*Molar Volume of Real Gas)/([R]*Compressibility Factor)
T_g = (P_gas*V_m)/([R]*z)
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Molar Volume of Real Gas - (Measured in Cubic Meter) - The Molar Volume of Real Gas is the volume occupied divided by the amount of real gas at a given temperature and pressure.
Compressibility Factor - Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Molar Volume of Real Gas: 22 Liter --> 0.022 Cubic Meter (Check conversion here)
Compressibility Factor: 11.31975 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = (P_gas*V_m)/([R]*z) --> (0.215*0.022)/([R]*11.31975)

Evaluating ... ...

T_g = 5.02562547187079E-05

STEP 3: Convert Result to Output's Unit

5.02562547187079E-05 Kelvin --> No Conversion Required

FINAL ANSWER

5.02562547187079E-05 ≈ 5E-5 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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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 given Compressibility Factor Formula

Temperature of Gas = (Pressure of Gas*Molar Volume of Real Gas)/([R]*Compressibility Factor)
T_g = (P_gas*V_m)/([R]*z)

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 given Compressibility Factor?

Temperature of Gas given Compressibility Factor calculator uses Temperature of Gas = (Pressure of Gas*Molar Volume of Real Gas)/([R]*Compressibility Factor) to calculate the Temperature of Gas, The Temperature of Gas given Compressibility Factor formula is defined as the ratio of the pressure and volume of real gas to the compressibility factor. Temperature of Gas is denoted by T_g symbol.

How to calculate Temperature of Gas given Compressibility Factor using this online calculator? To use this online calculator for Temperature of Gas given Compressibility Factor, enter Pressure of Gas (P_gas), Molar Volume of Real Gas (V_m) & Compressibility Factor (z) and hit the calculate button. Here is how the Temperature of Gas given Compressibility Factor calculation can be explained with given input values -> 5E-5 = (0.215*0.022)/([R]*11.31975).

FAQ

What is Temperature of Gas given Compressibility Factor?

The Temperature of Gas given Compressibility Factor formula is defined as the ratio of the pressure and volume of real gas to the compressibility factor and is represented as T_g = (P_gas*V_m)/([R]*z) or Temperature of Gas = (Pressure of Gas*Molar Volume of Real Gas)/([R]*Compressibility Factor). The pressure of Gas is the force that the gas exerts on the walls of its container, The Molar Volume of Real Gas is the volume occupied divided by the amount of real gas at a given temperature and pressure & Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.

How to calculate Temperature of Gas given Compressibility Factor?

The Temperature of Gas given Compressibility Factor formula is defined as the ratio of the pressure and volume of real gas to the compressibility factor is calculated using Temperature of Gas = (Pressure of Gas*Molar Volume of Real Gas)/([R]*Compressibility Factor). To calculate Temperature of Gas given Compressibility Factor, you need Pressure of Gas (P_gas), Molar Volume of Real Gas (V_m) & Compressibility Factor (z). With our tool, you need to enter the respective value for Pressure of Gas, Molar Volume of Real Gas & Compressibility Factor 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 of Gas?

In this formula, Temperature of Gas uses Pressure of Gas, Molar Volume of Real Gas & Compressibility Factor. We can use 9 other way(s) to calculate the same, which is/are as follows -

Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R])
Temperature of Gas = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*[R])
Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles))
Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*[R])
Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/([R])
Temperature of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*[R])
Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ])
Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*[R])
Temperature of Gas = (Molar Mass*((Most Probable Velocity)^2))/([R])

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