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Pressure of Gas given Compressibility Factor Formula

GoPressure of Gas given Kinetic Energy Formula

GoPressure of Gas given Root Mean Square Speed and Density Formula

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The pressure of Gas is the force that the gas exerts on the walls of its container. Check FAQs

P gas = \frac{z \cdot [R] \cdot T g}{V m}

P_gas - Pressure of Gas?z - Compressibility Factor?T_g - Temperature of Gas?V_m - Molar Volume of Real Gas?[R] - Universal gas constant?

Pressure of Gas given Compressibility Factor Example

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Here is how the Pressure of Gas given Compressibility Factor equation looks like with Values.

Here is how the Pressure of Gas given Compressibility Factor equation looks like with Units.

Here is how the Pressure of Gas given Compressibility Factor equation looks like.

128342.2339 = \frac{11.3198 \cdot 8.3145 \cdot 30}{22}

128342.2339Pa = \frac{11.3198 \cdot 8.3145 \cdot 30K}{22L}

128342.2339 = \frac{11.3198 \cdot 8.3145 \cdot 30}{22}

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Pressure of Gas given Compressibility Factor Solution

Follow our step by step solution on how to calculate Pressure of Gas given Compressibility Factor?

FIRST Step Consider the formula

P gas = \frac{z \cdot [R] \cdot T g}{V m}

Next Step Substitute values of Variables

∴

P gas = \frac{11.3198 \cdot [R] \cdot 30K}{22L}

Next Step Substitute values of Constants

∴

P gas = \frac{11.3198 \cdot 8.3145 \cdot 30K}{22L}

Next Step Convert Units

∴

P gas = \frac{11.3198 \cdot 8.3145 \cdot 30K}{0.022m³}

Next Step Prepare to Evaluate

∴

P gas = \frac{11.3198 \cdot 8.3145 \cdot 30}{0.022}

Next Step Evaluate

∴

P gas = 128342.233938873Pa

LAST Step Rounding Answer

∴

P gas = 128342.2339Pa

Pressure of Gas given Compressibility Factor Formula Elements

Variables

Constants

Pressure of Gas

The pressure of Gas is the force that the gas exerts on the walls of its container.

Symbol: P_gas

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Gas

Compressibility Factor

Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Compressibility Factor

Temperature of Gas

The temperature of Gas is the measure of hotness or coldness of a gas.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Molar Volume of Real Gas

The Molar Volume of Real Gas is the volume occupied divided by the amount of real gas at a given temperature and pressure.

Symbol: V_m

Measurement: VolumeUnit: L

Note: Value should be greater than 0.

Formulas to find Molar Volume of Real Gas

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Pressure of Gas

Go Pressure of Gas given Kinetic Energy

P gas = (\frac{2}{3}) \cdot (\frac{KE}{V gas})

Go Pressure of Gas given Root Mean Square Speed and Density

P gas = (\frac{1}{3}) \cdot (ρ gas \cdot ({(C RMS)}^{2}))

Go Pressure of Gas given Root Mean Square Speed and Density in 1D

P gas = (ρ gas \cdot ({(C RMS)}^{2}))

Go Pressure of Gas given Root Mean Square Speed and Density in 2D

P gas = (\frac{1}{2}) \cdot (ρ gas \cdot ({(C RMS)}^{2}))

Other formulas in Pressure of Gas category

Go Pressure of Gas given Average Velocity and Density

P AV_D = \frac{ρ gas \cdot π \cdot ({(C av)}^{2})}{8}

Go Pressure of Gas given Average Velocity and Density in 2D

P AV_D = \frac{ρ gas \cdot 2 \cdot ({(C av)}^{2})}{π}

Go Pressure of Gas given Average Velocity and Volume

P AV_V = \frac{M molar \cdot π \cdot ({(C av)}^{2})}{8 \cdot V g}

Go Pressure of Gas given Average Velocity and Volume in 2D

P AV_V = \frac{M molar \cdot 2 \cdot ({(C av)}^{2})}{π \cdot V g}

How to Evaluate Pressure of Gas given Compressibility Factor?

Pressure of Gas given Compressibility Factor evaluator uses Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas to evaluate 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 evaluate Pressure of Gas given Compressibility Factor using this online evaluator? To use this online evaluator 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.

FAQs on Pressure of Gas given Compressibility Factor

What is the formula to find Pressure of Gas given Compressibility Factor?

The formula of Pressure of Gas given Compressibility Factor is expressed as Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas. Here is an example- 128342.2 = (11.31975*[R]*30)/0.022.

How to calculate Pressure of Gas given Compressibility Factor?

With Compressibility Factor (z), Temperature of Gas (T_g) & Molar Volume of Real Gas (V_m) we can find Pressure of Gas given Compressibility Factor using the formula - Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas. This formula also uses Universal gas constant .

What are the other ways to Calculate Pressure of Gas?

Here are the different ways to Calculate Pressure of Gas-

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))

Can the Pressure of Gas given Compressibility Factor be negative?

Yes, the Pressure of Gas given Compressibility Factor, measured in Pressure can be negative.

Which unit is used to measure Pressure of Gas given Compressibility Factor?

Pressure of Gas given Compressibility Factor is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure of Gas given Compressibility Factor can be measured.

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