Isothermal Compressibility of Real Gas Calculator

✖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%
✖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 of Real Gas [K_T]

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Isothermal Compressibility of Real Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/(Heat Capacity Constant Pressure-Heat Capacity Constant Volume)
K_T = (v*T*(α^2))/(C_p-C_v)
This formula uses 6 Variables

Variables Used

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.
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.

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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_T = (v*T*(α^2))/(C_p-C_v) --> (11*85*(0.1^2))/(1001-718)

Evaluating ... ...

K_T = 0.0330388692579505

STEP 3: Convert Result to Output's Unit

0.0330388692579505 Square Meter per Newton --> No Conversion Required

FINAL ANSWER

0.0330388692579505 ≈ 0.033039 Square Meter per Newton <-- Isothermal Compressibility

(Calculation completed in 00.004 seconds)

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< Specific Heat Capacity Calculators

Coefficient of Thermal Expansion of Real Gas

LaTeX Go Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature))

Heat Capacity at Constant Pressure of Real Gas

LaTeX 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

LaTeX Go Heat Capacity Constant Volume = Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)

Difference between Cp and Cv of Real Gas

LaTeX Go Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility

Isothermal Compressibility of Real Gas Formula

LaTeX Go

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

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 Isothermal Compressibility of Real Gas?

Isothermal Compressibility of Real Gas calculator uses Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/(Heat Capacity Constant Pressure-Heat Capacity Constant Volume) to calculate the Isothermal Compressibility, The Isothermal compressibility of real gas is the change in volume due to change in pressure at constant temperature. Isothermal Compressibility is denoted by K_T symbol.

How to calculate Isothermal Compressibility of Real Gas using this online calculator? To use this online calculator for Isothermal Compressibility of Real Gas, enter Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α), Heat Capacity Constant Pressure (C_p) & Heat Capacity Constant Volume (C_v) and hit the calculate button. Here is how the Isothermal Compressibility of Real Gas calculation can be explained with given input values -> 0.033039 = (11*85*(0.1^2))/(1001-718).

FAQ

What is Isothermal Compressibility of Real Gas?

The Isothermal compressibility of real gas is the change in volume due to change in pressure at constant temperature and is represented as K_T = (v*T*(α^2))/(C_p-C_v) or Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/(Heat Capacity Constant Pressure-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, 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.

How to calculate Isothermal Compressibility of Real Gas?

The Isothermal compressibility of real gas is the change in volume due to change in pressure at constant temperature is calculated using Isothermal Compressibility = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/(Heat Capacity Constant Pressure-Heat Capacity Constant Volume). To calculate Isothermal Compressibility of Real Gas, you need Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α), Heat Capacity Constant Pressure (C_p) & Heat Capacity Constant Volume (C_v). With our tool, you need to enter the respective value for Specific Volume, Temperature, Coefficient of Thermal Expansion, Heat Capacity Constant Pressure & 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.

How many ways are there to calculate Isothermal Compressibility?

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

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

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