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Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Calculator

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Important Calculator of Compressibility Isentropic Compressibility Isothermal Compressibility

✖The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.ⓘ Isentropic Compressibility [K_S]			+10% -10%
✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_T]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Thermal Pressure Coefficient is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume.ⓘ Thermal Pressure Coefficient [Λ]			+10% -10%

✖Temperature given Cp is the degree or intensity of heat present in a substance or object.ⓘ Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp [T_Cp]

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Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2)
T_Cp = (((1/K_S)-(1/K_T))*ρ*(C_p-[R]))/(Λ^2)
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature given Cp - (Measured in Kelvin) - Temperature given Cp is the degree or intensity of heat present in a substance or object.
Isentropic Compressibility - (Measured in Square Meter per Newton) - The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.
Thermal Pressure Coefficient - (Measured in Pascal per Kelvin) - Thermal Pressure Coefficient is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume.

STEP 1: Convert Input(s) to Base Unit

Isentropic Compressibility: 70 Square Meter per Newton --> 70 Square Meter per Newton No Conversion Required
Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required
Thermal Pressure Coefficient: 0.01 Pascal per Kelvin --> 0.01 Pascal per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_Cp = (((1/K_S)-(1/K_T))*ρ*(C_p-[R]))/(Λ^2) --> (((1/70)-(1/75))*997*(122-[R]))/(0.01^2)

Evaluating ... ...

T_Cp = 1079471.24542572

STEP 3: Convert Result to Output's Unit

1079471.24542572 Kelvin --> No Conversion Required

FINAL ANSWER

1079471.24542572 ≈ 1.1E+6 Kelvin <-- Temperature given Cp

(Calculation completed in 00.008 seconds)

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Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp Formula

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What are the postulates of kinetic theory of gases?

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 Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp?

Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp calculator uses Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2) to calculate the Temperature given Cp, The Temperature given thermal pressure coefficient, compressibility factors and Cp is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale. Temperature given Cp is denoted by T_Cp symbol.

How to calculate Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp using this online calculator? To use this online calculator for Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp, enter Isentropic Compressibility (K_S), Isothermal Compressibility (K_T), Density (ρ), Molar Specific Heat Capacity at Constant Pressure (C_p) & Thermal Pressure Coefficient (Λ) and hit the calculate button. Here is how the Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp calculation can be explained with given input values -> 1.1E+6 = (((1/70)-(1/75))*997*(122-[R]))/(0.01^2).

FAQ

What is Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp?

The Temperature given thermal pressure coefficient, compressibility factors and Cp is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and is represented as T_Cp = (((1/K_S)-(1/K_T))*ρ*(C_p-[R]))/(Λ^2) or Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2). The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy, The isothermal compressibility is the change in volume due to change in pressure at constant temperature, The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure & Thermal Pressure Coefficient is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume.

How to calculate Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp?

The Temperature given thermal pressure coefficient, compressibility factors and Cp is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale is calculated using Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2). To calculate Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp, you need Isentropic Compressibility (K_S), Isothermal Compressibility (K_T), Density (ρ), Molar Specific Heat Capacity at Constant Pressure (C_p) & Thermal Pressure Coefficient (Λ). With our tool, you need to enter the respective value for Isentropic Compressibility, Isothermal Compressibility, Density, Molar Specific Heat Capacity at Constant Pressure & Thermal Pressure Coefficient 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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