Coefficient of Thermal Expansion 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

✖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 [C_p]			+10% -10%
✖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 [C_v]			+10% -10%
✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_T]			+10% -10%
✖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 of Real Gas [α]

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Formula

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Coefficient of Thermal Expansion of Real Gas

Formula

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

Example

`"4.764508K⁻¹"=sqrt((("1001J/(kg*K)"-"718J/(kg*K)")*"75m²/N")/("11m³/kg"*"85K"))`

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Coefficient of Thermal Expansion of Real Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature))
α = sqrt(((C_p-C_v)*K_T)/(v*T))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.

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
Specific Volume: 11 Cubic Meter per Kilogram --> 11 Cubic Meter per Kilogram No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = sqrt(((C_p-C_v)*K_T)/(v*T)) --> sqrt(((1001-718)*75)/(11*85))

Evaluating ... ...

α = 4.76450781921473

STEP 3: Convert Result to Output's Unit

4.76450781921473 1 Per Kelvin --> No Conversion Required

FINAL ANSWER

4.76450781921473 ≈ 4.764508 1 Per Kelvin <-- Coefficient of Thermal Expansion

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Specific Heat Capacity » Coefficient of Thermal Expansion of Real Gas

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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

Coefficient of Thermal Expansion of Real Gas Formula

Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature))
α = sqrt(((C_p-C_v)*K_T)/(v*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 Coefficient of Thermal Expansion of Real Gas?

Coefficient of Thermal Expansion of Real Gas calculator uses Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature)) to calculate the Coefficient of Thermal Expansion, The Coefficient of thermal expansion of real gas describes how the size of an object changes with a change in temperature. Coefficient of Thermal Expansion is denoted by α symbol.

How to calculate Coefficient of Thermal Expansion of Real Gas using this online calculator? To use this online calculator for Coefficient of Thermal Expansion of Real Gas, enter Heat Capacity Constant Pressure (C_p), Heat Capacity Constant Volume (C_v), Isothermal Compressibility (K_T), Specific Volume (v) & Temperature (T) and hit the calculate button. Here is how the Coefficient of Thermal Expansion of Real Gas calculation can be explained with given input values -> 4.764508 = sqrt(((1001-718)*75)/(11*85)).

FAQ

What is Coefficient of Thermal Expansion of Real Gas?

The Coefficient of thermal expansion of real gas describes how the size of an object changes with a change in temperature and is represented as α = sqrt(((C_p-C_v)*K_T)/(v*T)) or Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature)). 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, 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.

How to calculate Coefficient of Thermal Expansion of Real Gas?

The Coefficient of thermal expansion of real gas describes how the size of an object changes with a change in temperature is calculated using Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature)). To calculate Coefficient of Thermal Expansion of Real Gas, you need Heat Capacity Constant Pressure (C_p), Heat Capacity Constant Volume (C_v), Isothermal Compressibility (K_T), Specific Volume (v) & Temperature (T). With our tool, you need to enter the respective value for Heat Capacity Constant Pressure, Heat Capacity Constant Volume, Isothermal Compressibility, Specific Volume & Temperature 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 Coefficient of Thermal Expansion?

In this formula, Coefficient of Thermal Expansion uses Heat Capacity Constant Pressure, Heat Capacity Constant Volume, Isothermal Compressibility, Specific Volume & Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Thermal Expansion = sqrt((Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*Temperature))

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