Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv Calculator

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✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_T]			+10% -10%
✖The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.ⓘ Isentropic Compressibility [K_S]			+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 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.ⓘ Molar Specific Heat Capacity at Constant Volume [C_v]			+10% -10%
✖Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.ⓘ Volumetric Coefficient of Thermal Expansion [α]			+10% -10%

✖Temperature given Coefficient of Thermal Expansion s the degree or intensity of heat present in a substance or object.ⓘ Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv [T_TE]

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Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv

Formula

`"T"_{"TE"} = (("K"_{"T"}-"K"_{"S"})*"ρ"*("C"_{"v"}+"[R]") )/("α"^2)`

Example

`"887.8442K"=(("75m²/N"-"70m²/N")*"997kg/m³"*("103J/K*mol"+"[R]") )/(("25K⁻¹")^2)`

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Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T_TE = ((K_T-K_S)*ρ*(C_v+[R]) )/(α^2)
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature given Coefficient of Thermal Expansion - (Measured in Kelvin) - Temperature given Coefficient of Thermal Expansion s the degree or intensity of heat present in a substance or object.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Isentropic Compressibility - (Measured in Square Meter per Newton) - The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.
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.
Volumetric Coefficient of Thermal Expansion - (Measured in 1 Per Kelvin) - Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.

STEP 1: Convert Input(s) to Base Unit

Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Isentropic Compressibility: 70 Square Meter per Newton --> 70 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
Volumetric Coefficient of Thermal Expansion: 25 1 Per Kelvin --> 25 1 Per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_TE = ((K_T-K_S)*ρ*(C_v+[R]) )/(α^2) --> ((75-70)*997*(103+[R]) )/(25^2)

Evaluating ... ...

T_TE = 887.84415384239

STEP 3: Convert Result to Output's Unit

887.84415384239 Kelvin --> No Conversion Required

FINAL ANSWER

887.84415384239 ≈ 887.8442 Kelvin <-- Temperature given Coefficient of Thermal Expansion

(Calculation completed in 00.020 seconds)

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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 Coefficient of Thermal Expansion, Compressibility Factors and Cv Formula

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 Coefficient of Thermal Expansion, Compressibility Factors and Cv?

Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv calculator uses 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) to calculate the Temperature given Coefficient of Thermal Expansion, The Temperature given coefficient of thermal expansion, 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 Coefficient of Thermal Expansion is denoted by T_TE symbol.

How to calculate Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv using this online calculator? To use this online calculator for Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv, enter Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Volumetric Coefficient of Thermal Expansion (α) and hit the calculate button. Here is how the Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv calculation can be explained with given input values -> 887.8442 = ((75-70)*997*(103+[R]) )/(25^2).

FAQ

What is Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv?

The Temperature given coefficient of thermal expansion, 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 T_TE = ((K_T-K_S)*ρ*(C_v+[R]) )/(α^2) or 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). The isothermal compressibility is the change in volume due to change in pressure at constant temperature, The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy, 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 & Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.

How to calculate Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv?

The Temperature given coefficient of thermal expansion, 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 Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]) )/(Volumetric Coefficient of Thermal Expansion^2). To calculate Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv, you need Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Volumetric Coefficient of Thermal Expansion (α). With our tool, you need to enter the respective value for Isothermal Compressibility, Isentropic Compressibility, Density, Molar Specific Heat Capacity at Constant Volume & Volumetric Coefficient of Thermal Expansion 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 Temperature given Coefficient of Thermal Expansion?

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

Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/(Volumetric Coefficient of Thermal Expansion^2)

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