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Specific Volume of Real Gas given Heat Capacities Calculator

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✖Heat capacity constant pressure is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change.ⓘ Heat Capacity Constant Pressure [Cp]
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✖Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change.ⓘ Heat Capacity Constant Volume [Cv]
+10%
-10%
✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [KT]
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-10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]
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-10%
✖Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.ⓘ Coefficient of Thermal Expansion [α]
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-10%
✖Specific Volume of the body is its volume per unit mass.ⓘ Specific Volume of Real Gas given Heat Capacities [v]
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Formula
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Specific Volume of Real Gas given Heat Capacities

Formula
`"v" = (("C"_{"p"}-"C"_{"v"})*"K"_{"T"})/("T"*("α"^2))`

Example
`"24970.59m³/kg"=(("1001J/(kg*K)"-"718J/(kg*K)")*"75m²/N")/("85K"*(("0.1K⁻¹")^2))`

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Specific Volume of Real Gas given Heat Capacities Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2))
v = ((Cp-Cv)*KT)/(T*(α^2))
This formula uses 6 Variables
Variables Used
Specific Volume - (Measured in Cubic Meter per Kilogram) - Specific Volume of the body is its volume per unit mass.
Heat Capacity Constant Pressure - (Measured in Joule per Kilogram per K) - Heat capacity constant pressure is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change.
Heat Capacity Constant Volume - (Measured in Joule per Kilogram per K) - Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Coefficient of Thermal Expansion - (Measured in 1 Per Kelvin) - Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.
STEP 1: Convert Input(s) to Base Unit
Heat Capacity Constant Pressure: 1001 Joule per Kilogram per K --> 1001 Joule per Kilogram per K No Conversion Required
Heat Capacity Constant Volume: 718 Joule per Kilogram per K --> 718 Joule per Kilogram per K No Conversion Required
Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Coefficient of Thermal Expansion: 0.1 1 Per Kelvin --> 0.1 1 Per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = ((Cp-Cv)*KT)/(T*(α^2)) --> ((1001-718)*75)/(85*(0.1^2))
Evaluating ... ...
v = 24970.5882352941
STEP 3: Convert Result to Output's Unit
24970.5882352941 Cubic Meter per Kilogram --> No Conversion Required
FINAL ANSWER
24970.5882352941 ≈ 24970.59 Cubic Meter per Kilogram <-- Specific Volume
(Calculation completed in 00.004 seconds)
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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Specific Heat Capacity » Specific Volume of Real Gas given Heat Capacities

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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14 Specific Heat Capacity Calculators

Adiabatic Index of Real Gas given Heat Capacity at Constant Pressure
Go Adiabatic Index = Heat Capacity Constant Pressure/(Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility))
Adiabatic Index of Real Gas given Heat Capacity at Constant Volume
Go Adiabatic Index = (((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume)/Heat Capacity Constant Volume
Coefficient of Thermal Expansion of Real Gas
Go Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature))
Specific Volume of Real Gas given Heat Capacities
Go Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2))
Temperature of Real Gas given Heat Capacities
Go Temperature = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2))
Heat Capacity at Constant Pressure of Real Gas
Go Heat Capacity Constant Pressure = ((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume
Heat Capacity at Constant Volume of Real Gas
Go Heat Capacity Constant Volume = Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)
Isothermal Compressibility of Real Gas
Go Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/(Heat Capacity Constant Pressure-Heat Capacity Constant Volume)
Coefficient of Thermal Expansion of Real Gas given Difference between Cp and Cv
Go Coefficient of Thermal Expansion = sqrt((Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*Temperature))
Specific Volume of Real Gas given Difference between Cp and Cv
Go Specific Volume = (Difference in Heat Capacities *Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2))
Temperature of Real Gas given Difference between Cp and Cv
Go Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2))
Isothermal Compressibility of Real Gas given Difference between Cp and Cv
Go Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Difference in Heat Capacities
Difference between Cp and Cv of Real Gas
Go Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility
Adiabatic Index of Real Gas
Go Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume

Specific Volume of Real Gas given Heat Capacities Formula

Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2))
v = ((Cp-Cv)*KT)/(T*(α^2))

What are postulates of Kinetic molecular theory of gas?

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 Specific Volume of Real Gas given Heat Capacities?

Specific Volume of Real Gas given Heat Capacities calculator uses Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2)) to calculate the Specific Volume, The Specific Volume of real gas given Heat Capacities is a property of materials, defined as the number of cubic meters occupied by one kilogram of a particular substance. Specific Volume is denoted by v symbol.

How to calculate Specific Volume of Real Gas given Heat Capacities using this online calculator? To use this online calculator for Specific Volume of Real Gas given Heat Capacities, enter Heat Capacity Constant Pressure (Cp), Heat Capacity Constant Volume (Cv), Isothermal Compressibility (KT), Temperature (T) & Coefficient of Thermal Expansion (α) and hit the calculate button. Here is how the Specific Volume of Real Gas given Heat Capacities calculation can be explained with given input values -> 24970.59 = ((1001-718)*75)/(85*(0.1^2)).

FAQ

What is Specific Volume of Real Gas given Heat Capacities?
The Specific Volume of real gas given Heat Capacities is a property of materials, defined as the number of cubic meters occupied by one kilogram of a particular substance and is represented as v = ((Cp-Cv)*KT)/(T*(α^2)) or Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2)). Heat capacity constant pressure is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change, Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change, The isothermal compressibility is the change in volume due to change in pressure at constant temperature, Temperature is the degree or intensity of heat present in a substance or object & Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.
How to calculate Specific Volume of Real Gas given Heat Capacities?
The Specific Volume of real gas given Heat Capacities is a property of materials, defined as the number of cubic meters occupied by one kilogram of a particular substance is calculated using Specific Volume = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2)). To calculate Specific Volume of Real Gas given Heat Capacities, you need Heat Capacity Constant Pressure (Cp), Heat Capacity Constant Volume (Cv), Isothermal Compressibility (KT), Temperature (T) & Coefficient of Thermal Expansion (α). With our tool, you need to enter the respective value for Heat Capacity Constant Pressure, Heat Capacity Constant Volume, Isothermal Compressibility, Temperature & Coefficient of Thermal Expansion 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 Specific Volume?
In this formula, Specific Volume uses Heat Capacity Constant Pressure, Heat Capacity Constant Volume, Isothermal Compressibility, Temperature & Coefficient of Thermal Expansion. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Specific Volume = (Difference in Heat Capacities *Isothermal Compressibility)/(Temperature*(Coefficient of Thermal Expansion^2))
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