Pressure using Virial Equation of State Calculator

✖Specific Volume of the body is its volume per unit mass.ⓘ Specific Volume [v]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [P]			+10% -10%
✖Virial Coefficient is one of the coefficients in a series of terms involving inverse powers of specific volume whose sum represents the product of specific volume by pressure for pure gas.ⓘ Virial Coefficient [B]			+10% -10%

✖Absolute Pressure is labeled when any pressure is detected above the absolute zero of pressure.ⓘ Pressure using Virial Equation of State [P_abs]

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Formula

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Pressure using Virial Equation of State

Formula

`"P"_{"abs"} = (1/"v")*(("[R]"*"T")+("P"*"B"))`

Example

`"47.3778Pa"=(1/"16.7m³/kg")*(("[R]"*"85K")+("38.4Pa"*"2.2m³/kg"))`

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Pressure using Virial Equation of State Solution

STEP 0: Pre-Calculation Summary

Formula Used

Absolute Pressure = (1/Specific Volume)*(([R]*Temperature)+(Pressure*Virial Coefficient))
P_abs = (1/v)*(([R]*T)+(P*B))
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Absolute Pressure - (Measured in Pascal) - Absolute Pressure is labeled when any pressure is detected above the absolute zero of pressure.
Specific Volume - (Measured in Cubic Meter per Kilogram) - Specific Volume of the body is its volume per unit mass.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Virial Coefficient - (Measured in Cubic Meter per Kilogram) - Virial Coefficient is one of the coefficients in a series of terms involving inverse powers of specific volume whose sum represents the product of specific volume by pressure for pure gas.

STEP 1: Convert Input(s) to Base Unit

Specific Volume: 16.7 Cubic Meter per Kilogram --> 16.7 Cubic Meter per Kilogram No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Pressure: 38.4 Pascal --> 38.4 Pascal No Conversion Required
Virial Coefficient: 2.2 Cubic Meter per Kilogram --> 2.2 Cubic Meter per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_abs = (1/v)*(([R]*T)+(P*B)) --> (1/16.7)*(([R]*85)+(38.4*2.2))

Evaluating ... ...

P_abs = 47.3778037450913

STEP 3: Convert Result to Output's Unit

47.3778037450913 Pascal --> No Conversion Required

FINAL ANSWER

47.3778037450913 ≈ 47.3778 Pascal <-- Absolute Pressure

(Calculation completed in 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi

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National University of Judicial Science (NUJS), Kolkata

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< 14 Basic Formulas Calculators

Pressure using Virial Equation of State

Go Absolute Pressure = (1/Specific Volume)*(([R]*Temperature)+(Pressure*Virial Coefficient))

Extent of Reaction given Number of Moles Initially and at Equilibrium

Go Extent of Reaction = ((Number of Moles at Equilibrium-Initial Number of Moles)/Stoichiometric Coefficient for i-th Component)

Number of Moles Initially given Extent of Reaction

Go Initial Number of Moles = (Number of Moles at Equilibrium-(Stoichiometric Coefficient for i-th Component*Extent of Reaction))

Number of Moles at Equilibrium given Extent of Reaction

Go Number of Moles at Equilibrium = Initial Number of Moles+(Stoichiometric Coefficient for i-th Component*Extent of Reaction)

Pressure by Ideal Gas Law

Go Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas

Overall Conversion in Recycle Process

Go Overall Conversion = ((Amount of Fresh Feed-Amount of Net Product)/Amount of Fresh Feed)*100

Extent of Reaction given Change in Number of Moles

Go Extent of Reaction = (Change in Number of Moles/Stoichiometric Coefficient for i-th Component)

Change in Number of Moles due to Reaction

Go Change in Number of Moles = (Stoichiometric Coefficient for i-th Component*Extent of Reaction)

Number of Gram-Atoms of Element

Go Number of Gram-Atoms of Element = Number of Grams of Element/Average Molecular Weight

Selectivity

Go Selectivity = (Moles of Desired Product/Moles of Undesired Product formed)*100

Overall Material Balance for Crystallizer

Go Feed Solution = Weight of Saturated Solution+Yield of Crystals

Mass Fraction of Species A

Go Mass Fraction = Mass of Species A/Total Mass of Molecule

Vacuum Pressure

Go Vacuum Pressure = Atmospheric Pressure-Absolute Pressure

Gauge Pressure

Go Gauge Pressure = Absolute Pressure-Atmospheric Pressure

Pressure using Virial Equation of State Formula

Absolute Pressure = (1/Specific Volume)*(([R]*Temperature)+(Pressure*Virial Coefficient))
P_abs = (1/v)*(([R]*T)+(P*B))

What is Heat Transfer?

Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

Define Thermal Conductivity & Factors affecting it?

Thermal conductivity is defined as the ability of a substance to conduct heat. Factors Affecting The Thermal Conductivity are: Moisture, Density of material, Pressure, Temperature & Structure of material.

How to Calculate Pressure using Virial Equation of State?

Pressure using Virial Equation of State calculator uses Absolute Pressure = (1/Specific Volume)*(([R]*Temperature)+(Pressure*Virial Coefficient)) to calculate the Absolute Pressure, The Pressure using Virial Equation of State formula is defined as a model that attempts to describe the properties of a real gas. If it were a perfect model, the virial Equation would give results identical to those of the perfect gas law as the pressure of a gas sample approached zero. Absolute Pressure is denoted by P_abs symbol.

How to calculate Pressure using Virial Equation of State using this online calculator? To use this online calculator for Pressure using Virial Equation of State, enter Specific Volume (v), Temperature (T), Pressure (P) & Virial Coefficient (B) and hit the calculate button. Here is how the Pressure using Virial Equation of State calculation can be explained with given input values -> 47.3778 = (1/16.7)*(([R]*85)+(38.4*2.2)).

FAQ

What is Pressure using Virial Equation of State?

The Pressure using Virial Equation of State formula is defined as a model that attempts to describe the properties of a real gas. If it were a perfect model, the virial Equation would give results identical to those of the perfect gas law as the pressure of a gas sample approached zero and is represented as P_abs = (1/v)*(([R]*T)+(P*B)) or Absolute Pressure = (1/Specific Volume)*(([R]*Temperature)+(Pressure*Virial Coefficient)). Specific Volume of the body is its volume per unit mass, Temperature is the degree or intensity of heat present in a substance or object, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Virial Coefficient is one of the coefficients in a series of terms involving inverse powers of specific volume whose sum represents the product of specific volume by pressure for pure gas.

How to calculate Pressure using Virial Equation of State?

The Pressure using Virial Equation of State formula is defined as a model that attempts to describe the properties of a real gas. If it were a perfect model, the virial Equation would give results identical to those of the perfect gas law as the pressure of a gas sample approached zero is calculated using Absolute Pressure = (1/Specific Volume)*(([R]*Temperature)+(Pressure*Virial Coefficient)). To calculate Pressure using Virial Equation of State, you need Specific Volume (v), Temperature (T), Pressure (P) & Virial Coefficient (B). With our tool, you need to enter the respective value for Specific Volume, Temperature, Pressure & Virial Coefficient 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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