Heat Capacity at Constant Pressure of Real Gas Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat Capacity Constant Pressure = ((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume
Cp = ((v*T*(α^2))/KT)+Cv
This formula uses 6 Variables
Variables Used
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.
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.
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.
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
Heat Capacity Constant Volume: 718 Joule per Kilogram per K --> 718 Joule per Kilogram per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cp = ((v*T*(α^2))/KT)+Cv --> ((11*85*(0.1^2))/75)+718
Evaluating ... ...
Cp = 718.124666666667
STEP 3: Convert Result to Output's Unit
718.124666666667 Joule per Kilogram per K --> No Conversion Required
FINAL ANSWER
718.124666666667 718.1247 Joule per Kilogram per K <-- Heat Capacity Constant Pressure
(Calculation completed in 00.004 seconds)

Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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National Institute of Information Technology (NIIT), Neemrana
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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

Heat Capacity at Constant Pressure of Real Gas Formula

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

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 Heat Capacity at Constant Pressure of Real Gas?

Heat Capacity at Constant Pressure of Real Gas calculator uses Heat Capacity Constant Pressure = ((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume to calculate the Heat Capacity Constant Pressure, The Heat Capacity at constant Pressure of real gas is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change. Heat Capacity Constant Pressure is denoted by Cp symbol.

How to calculate Heat Capacity at Constant Pressure of Real Gas using this online calculator? To use this online calculator for Heat Capacity at Constant Pressure of Real Gas, enter Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α), Isothermal Compressibility (KT) & Heat Capacity Constant Volume (Cv) and hit the calculate button. Here is how the Heat Capacity at Constant Pressure of Real Gas calculation can be explained with given input values -> 718.1247 = ((11*85*(0.1^2))/75)+718.

FAQ

What is Heat Capacity at Constant Pressure of Real Gas?
The Heat Capacity at constant Pressure of real gas is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change and is represented as Cp = ((v*T*(α^2))/KT)+Cv or Heat Capacity Constant Pressure = ((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume. 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 & Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change.
How to calculate Heat Capacity at Constant Pressure of Real Gas?
The Heat Capacity at constant Pressure of real gas is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change is calculated using Heat Capacity Constant Pressure = ((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume. To calculate Heat Capacity at Constant Pressure of Real Gas, you need Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α), Isothermal Compressibility (KT) & Heat Capacity Constant Volume (Cv). With our tool, you need to enter the respective value for Specific Volume, Temperature, Coefficient of Thermal Expansion, Isothermal Compressibility & Heat Capacity Constant Volume 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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