Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature given Cv = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/(Thermal Pressure Coefficient^2)
TCv = (((1/KS)-(1/KT))*ρ*Cv)/(Λ^2)
This formula uses 6 Variables
Variables Used
Temperature given Cv - (Measured in Kelvin) - Temperature given Cv 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 Volume - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Volume, 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 volume.
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 Volume: 103 Joule Per Kelvin Per Mole --> 103 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
TCv = (((1/KS)-(1/KT))*ρ*Cv)/(Λ^2) --> (((1/70)-(1/75))*997*103)/(0.01^2)
Evaluating ... ...
TCv = 978009.523809522
STEP 3: Convert Result to Output's Unit
978009.523809522 Kelvin --> No Conversion Required
FINAL ANSWER
978009.523809522 978009.5 Kelvin <-- Temperature given Cv
(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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13 Important Calculator of Compressibility Calculators

Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv
Go Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]) )/(Volumetric Coefficient of Thermal Expansion^2)
Thermal Pressure Coefficient given Compressibility Factors and Cp
Go Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density* (Molar Specific Heat Capacity at Constant Pressure-[R]))/Temperature)
Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv
Go Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature)
Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp
Go Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density* (Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2)
Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp
Go Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/(Volumetric Coefficient of Thermal Expansion^2)
Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp
Go Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature)
Thermal Pressure Coefficient given Compressibility Factors and Cv
Go Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature)
Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv
Go Temperature given Cv = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/(Thermal Pressure Coefficient^2)
Temperature given Relative Size of Fluctuations in Particle Density
Go Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas ))/([BoltZ]*Isothermal Compressibility*(Density^2))
Volume given Relative Size of Fluctuations in Particle Density
Go Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2))
Relative Size of Fluctuations in Particle Density
Go Relative Size of Fluctuation = Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)*Volume of Gas
Compressibility Factor given Molar Volume of Gases
Go Compressibility Factor for KTOG = Molar Volume of Real Gas/Molar Volume of Ideal Gas
Molar Volume of Real Gas given Compressibility Factor
Go Molar Volume of Gas = Compressibility Factor*Molar Volume of Ideal Gas

Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv Formula

Temperature given Cv = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/(Thermal Pressure Coefficient^2)
TCv = (((1/KS)-(1/KT))*ρ*Cv)/(Λ^2)

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 Cv?

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

How to calculate Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv using this online calculator? To use this online calculator for Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv, enter Isentropic Compressibility (KS), Isothermal Compressibility (KT), Density (ρ), Molar Specific Heat Capacity at Constant Volume (Cv) & Thermal Pressure Coefficient (Λ) and hit the calculate button. Here is how the Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv calculation can be explained with given input values -> 978009.5 = (((1/70)-(1/75))*997*103)/(0.01^2).

FAQ

What is Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv?
The Temperature given thermal pressure coefficient, compressibility factors and Cv 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 TCv = (((1/KS)-(1/KT))*ρ*Cv)/(Λ^2) or Temperature given Cv = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/(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 Volume, 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 volume & 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 Cv?
The Temperature given thermal pressure coefficient, compressibility factors and Cv 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 Cv = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/(Thermal Pressure Coefficient^2). To calculate Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv, you need Isentropic Compressibility (KS), Isothermal Compressibility (KT), Density (ρ), Molar Specific Heat Capacity at Constant Volume (Cv) & 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 Volume & 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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