Difference between Cp and Cv of Real Gas Calculator

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Specific Heat Capacity

Berthelot and Modified Berthelot Model of Real Gas

Clausius Model of Real Gas

Peng Robinson Model of Real Gas

Redlich Kwong Model of Real Gas

Saturation Vapour Pressure

Van der Waals Force

Wohl Model of Real Gas

✖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%
✖Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.ⓘ Coefficient of Thermal Expansion [α]			+10% -10%
✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_T]			+10% -10%

✖Difference in Heat Capacities is the difference between Heat Capacity at constant Pressure and Heat Capacity at constant Volume.ⓘ Difference between Cp and Cv of Real Gas [δC_pv]

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Formula

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Difference between Cp and Cv of Real Gas

Formula

`"δC"_{"pv"} = ("v"*"T"*("α"^2))/"K"_{"T"}`

Example

`"0.124667J/(kg*K)"=("11m³/kg"*"85K"*(("0.1K⁻¹")^2))/"75m²/N"`

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Difference between Cp and Cv of Real Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility
δC_pv = (v*T*(α^2))/K_T
This formula uses 5 Variables

Variables Used

Difference in Heat Capacities - (Measured in Joule per Kilogram per K) - Difference in Heat Capacities is the difference between Heat Capacity at constant Pressure and Heat Capacity at constant Volume.
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.
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.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

STEP 1: Convert Input(s) to Base Unit

Specific Volume: 11 Cubic Meter per Kilogram --> 11 Cubic Meter per Kilogram 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
Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δC_pv = (v*T*(α^2))/K_T --> (11*85*(0.1^2))/75

Evaluating ... ...

δC_pv = 0.124666666666667

STEP 3: Convert Result to Output's Unit

0.124666666666667 Joule per Kilogram per K --> No Conversion Required

FINAL ANSWER

0.124666666666667 ≈ 0.124667 Joule per Kilogram per K <-- Difference in Heat Capacities

(Calculation completed in 00.004 seconds)

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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

Difference between Cp and Cv of Real Gas Formula

Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility
δC_pv = (v*T*(α^2))/K_T

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 Difference between Cp and Cv of Real Gas?

Difference between Cp and Cv of Real Gas calculator uses Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility to calculate the Difference in Heat Capacities, The Difference between Cp and Cv of real gas is the difference between Molar Heat Capacity at constant Pressure and Molar Heat Capacity at constant Volume. Difference in Heat Capacities is denoted by δC_pv symbol.

How to calculate Difference between Cp and Cv of Real Gas using this online calculator? To use this online calculator for Difference between Cp and Cv of Real Gas, enter Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α) & Isothermal Compressibility (K_T) and hit the calculate button. Here is how the Difference between Cp and Cv of Real Gas calculation can be explained with given input values -> 0.124667 = (11*85*(0.1^2))/75.

FAQ

What is Difference between Cp and Cv of Real Gas?

The Difference between Cp and Cv of real gas is the difference between Molar Heat Capacity at constant Pressure and Molar Heat Capacity at constant Volume and is represented as δC_pv = (v*T*(α^2))/K_T or Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility. 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, Coefficient of thermal expansion describes how the size of an object changes with a change in temperature & The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

How to calculate Difference between Cp and Cv of Real Gas?

The Difference between Cp and Cv of real gas is the difference between Molar Heat Capacity at constant Pressure and Molar Heat Capacity at constant Volume is calculated using Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility. To calculate Difference between Cp and Cv of Real Gas, you need Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α) & Isothermal Compressibility (K_T). With our tool, you need to enter the respective value for Specific Volume, Temperature, Coefficient of Thermal Expansion & Isothermal Compressibility 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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