Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure 2 = -((Work Done*(Heat Capacity Ratio-1))-(Pressure 1*Specific Volume for Point 1))/Specific Volume for Point 2
P2 = -((w*(C-1))-(P1*v1))/v2
This formula uses 6 Variables
Variables Used
Pressure 2 - (Measured in Pascal) - Pressure 2 is the pressure at give point 2.
Work Done - (Measured in Joule) - Work Done refers to the amount of energy transferred or expended when a force acts on an object and causes displacement.
Heat Capacity Ratio - Heat Capacity Ratio is the ratio of specific heats of a substance at constant pressure and constant volume.
Pressure 1 - (Measured in Pascal) - Pressure 1 is the pressure at give point 1.
Specific Volume for Point 1 - (Measured in Cubic Meter per Kilogram) - Specific Volume for Point 1 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass.
Specific Volume for Point 2 - (Measured in Cubic Meter per Kilogram) - Specific Volume for Point 2 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass.
STEP 1: Convert Input(s) to Base Unit
Work Done: 30 Kilojoule --> 30000 Joule (Check conversion here)
Heat Capacity Ratio: 0.5 --> No Conversion Required
Pressure 1: 2.5 Bar --> 250000 Pascal (Check conversion here)
Specific Volume for Point 1: 1.64 Cubic Meter per Kilogram --> 1.64 Cubic Meter per Kilogram No Conversion Required
Specific Volume for Point 2: 0.816 Cubic Meter per Kilogram --> 0.816 Cubic Meter per Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P2 = -((w*(C-1))-(P1*v1))/v2 --> -((30000*(0.5-1))-(250000*1.64))/0.816
Evaluating ... ...
P2 = 520833.333333333
STEP 3: Convert Result to Output's Unit
520833.333333333 Pascal -->5.20833333333333 Bar (Check conversion here)
FINAL ANSWER
5.20833333333333 5.208333 Bar <-- Pressure 2
(Calculation completed in 00.020 seconds)

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18 Basic Relationship of Thermodynamics Calculators

Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure
Go Pressure 2 = -((Work Done*(Heat Capacity Ratio-1))-(Pressure 1*Specific Volume for Point 1))/Specific Volume for Point 2
Specific Volume for External Work Done in Adiabatic Process Introducing Pressure
Go Specific Volume for Point 1 = ((Work Done*(Heat Capacity Ratio-1))+(Pressure 2*Specific Volume for Point 2))/Pressure 1
Constant for External Work Done in Adiabatic process Introducing Pressure
Go Heat Capacity Ratio = ((1/Work Done)*(Pressure 1*Specific Volume for Point 1-Pressure 2*Specific Volume for Point 2))+1
External Work Done by Gas in Adiabatic Process Introducing Pressure
Go Work Done = (1/(Heat Capacity Ratio-1))*(Pressure 1*Specific Volume for Point 1-Pressure 2*Specific Volume for Point 2)
Potential Energy given Total Energy in Compressible Fluids
Go Potential Energy = Total Energy in Compressible Fluids-(Kinetic Energy+Pressure Energy+Molecular Energy)
Molecular Energy given Total Energy in Compressible Fluids
Go Molecular Energy = Total Energy in Compressible Fluids-(Kinetic Energy+Potential Energy+Pressure Energy)
Pressure Energy given Total Energy in Compressible Fluids
Go Pressure Energy = Total Energy in Compressible Fluids-(Kinetic Energy+Potential Energy+Molecular Energy)
Kinetic Energy given Total Energy in Compressible Fluids
Go Kinetic Energy = Total Energy in Compressible Fluids-(Potential Energy+Pressure Energy+Molecular Energy)
Total Energy in Compressible Fluids
Go Total Energy in Compressible Fluids = Kinetic Energy+Potential Energy+Pressure Energy+Molecular Energy
Absolute Temperature given Absolute Pressure
Go Absolute Temperature of Compressible Fluid = Absolute Pressure by Fluid Density/(Mass Density of Gas*Ideal Gas Constant)
Mass Density given Absolute Pressure
Go Mass Density of Gas = Absolute Pressure by Fluid Density/(Ideal Gas Constant*Absolute Temperature of Compressible Fluid)
Gas Constant given Absolute Pressure
Go Ideal Gas Constant = Absolute Pressure by Fluid Density/(Mass Density of Gas*Absolute Temperature of Compressible Fluid)
Absolute Pressure given Absolute Temperature
Go Absolute Pressure by Fluid Density = Mass Density of Gas*Ideal Gas Constant*Absolute Temperature of Compressible Fluid
Continuity Equation for Compressible Fluids
Go Constant A1 = Mass Density of Fluid*Cross-Sectional Area of Flow Channel*Average Velocity
Pressure given Constant
Go Pressure of Compressible Flow = Gas Constant a/Specific Volume
Change in Internal Energy given Total Heat Supplied to Gas
Go Change in Internal Energy = Total Heat-Work Done
External Work Done by Gas given Total Heat Supplied
Go Work Done = Total Heat-Change in Internal Energy
Total Heat Supplied to Gas
Go Total Heat = Change in Internal Energy+Work Done

Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure Formula

Pressure 2 = -((Work Done*(Heat Capacity Ratio-1))-(Pressure 1*Specific Volume for Point 1))/Specific Volume for Point 2
P2 = -((w*(C-1))-(P1*v1))/v2

What is meant by Adiabatic Index?

Adiabatic Index is defined as the ratio of specific heat at constant pressure and that at constant volume

What is meant by External Work Done?

When work is done by external forces (non-conservative forces), the total mechanical energy of the object is altered. The work that is done can be positive work or negative work depending on whether the force doing the work is directed opposite the object's motion or in the same direction as the object's motion.

How to Calculate Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure?

Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure calculator uses Pressure 2 = -((Work Done*(Heat Capacity Ratio-1))-(Pressure 1*Specific Volume for Point 1))/Specific Volume for Point 2 to calculate the Pressure 2, Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure is defined as the physical force exerted on an object. The force applied is perpendicular to the surface of objects per unit area. Pressure 2 is denoted by P2 symbol.

How to calculate Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure using this online calculator? To use this online calculator for Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure, enter Work Done (w), Heat Capacity Ratio (C), Pressure 1 (P1), Specific Volume for Point 1 (v1) & Specific Volume for Point 2 (v2) and hit the calculate button. Here is how the Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure calculation can be explained with given input values -> 5.2E-5 = -((30000*(0.5-1))-(250000*1.64))/0.816.

FAQ

What is Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure?
Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure is defined as the physical force exerted on an object. The force applied is perpendicular to the surface of objects per unit area and is represented as P2 = -((w*(C-1))-(P1*v1))/v2 or Pressure 2 = -((Work Done*(Heat Capacity Ratio-1))-(Pressure 1*Specific Volume for Point 1))/Specific Volume for Point 2. Work Done refers to the amount of energy transferred or expended when a force acts on an object and causes displacement, Heat Capacity Ratio is the ratio of specific heats of a substance at constant pressure and constant volume, Pressure 1 is the pressure at give point 1, Specific Volume for Point 1 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass & Specific Volume for Point 2 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass.
How to calculate Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure?
Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure is defined as the physical force exerted on an object. The force applied is perpendicular to the surface of objects per unit area is calculated using Pressure 2 = -((Work Done*(Heat Capacity Ratio-1))-(Pressure 1*Specific Volume for Point 1))/Specific Volume for Point 2. To calculate Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure, you need Work Done (w), Heat Capacity Ratio (C), Pressure 1 (P1), Specific Volume for Point 1 (v1) & Specific Volume for Point 2 (v2). With our tool, you need to enter the respective value for Work Done, Heat Capacity Ratio, Pressure 1, Specific Volume for Point 1 & Specific Volume for Point 2 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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