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Pressure of Gas given Compressibility Factor Calculator

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✖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 [T_g]			+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%

✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas given Compressibility Factor [P_gas]

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Pressure of Gas given Compressibility Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Compressibility Factor - Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
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.

STEP 1: Convert Input(s) to Base Unit

Compressibility Factor: 11.31975 --> No Conversion Required
Temperature of Gas: 30 Kelvin --> 30 Kelvin No Conversion Required
Molar Volume of Real Gas: 22 Liter --> 0.022 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_gas = (z*[R]*T_g)/V_m --> (11.31975*[R]*30)/0.022

Evaluating ... ...

P_gas = 128342.233938873

STEP 3: Convert Result to Output's Unit

128342.233938873 Pascal --> No Conversion Required

FINAL ANSWER

128342.233938873 ≈ 128342.2 Pascal <-- Pressure 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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Pressure of Gas given Compressibility Factor Formula

LaTeX Go

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

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 Pressure of Gas given Compressibility Factor?

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

How to calculate Pressure of Gas given Compressibility Factor using this online calculator? To use this online calculator for Pressure of Gas given Compressibility Factor, enter Compressibility Factor (z), Temperature of Gas (T_g) & Molar Volume of Real Gas (V_m) and hit the calculate button. Here is how the Pressure of Gas given Compressibility Factor calculation can be explained with given input values -> 128342.2 = (11.31975*[R]*30)/0.022.

FAQ

What is Pressure of Gas given Compressibility Factor?

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

How to calculate Pressure of Gas given Compressibility Factor?

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

In this formula, Pressure of Gas uses Compressibility Factor, Temperature of Gas & Molar Volume of Real Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas)
Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))

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