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Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula

GoIsothermal Compressibility given Molar Heat Capacity Ratio Formula

GoIsothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume Formula

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The isothermal compressibility is the change in volume due to change in pressure at constant temperature. Check FAQs

K T = K S + (\frac{(α^{2}) \cdot T}{ρ \cdot C p})

K_T - Isothermal Compressibility?K_S - Isentropic Compressibility?α - Volumetric Coefficient of Thermal Expansion?T - Temperature?ρ - Density?C_p - Molar Specific Heat Capacity at Constant Pressure?

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Example

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Here is how the Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp equation looks like with Units.

Here is how the Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp equation looks like.

70.4368 = 70 + (\frac{(25^{2}) \cdot 85}{997 \cdot 122})

70.4368m²/N = 70m²/N + (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot 122J/K*mol})

70.4368 = 70 + (\frac{(25^{2}) \cdot 85}{997 \cdot 122})

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Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Solution

Follow our step by step solution on how to calculate Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp?

FIRST Step Consider the formula

K T = K S + (\frac{(α^{2}) \cdot T}{ρ \cdot C p})

Next Step Substitute values of Variables

∴

K T = 70m²/N + (\frac{({25K⁻¹}^{2}) \cdot 85K}{997kg/m³ \cdot 122J/K*mol})

Next Step Prepare to Evaluate

∴

K T = 70 + (\frac{(25^{2}) \cdot 85}{997 \cdot 122})

Next Step Evaluate

∴

K T = 70.4367611029811m²/N

LAST Step Rounding Answer

∴

K T = 70.4368m²/N

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula Elements

Variables

Isothermal Compressibility

The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

Symbol: K_T

Measurement: CompressibilityUnit: m²/N

Note: Value can be positive or negative.

Formulas to find Isothermal Compressibility

Isentropic Compressibility

The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.

Symbol: K_S

Measurement: CompressibilityUnit: m²/N

Note: Value can be positive or negative.

Formulas to find Isentropic Compressibility

Volumetric Coefficient of Thermal Expansion

Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.

Symbol: α

Measurement: Thermal ExpansionUnit: K⁻¹

Note: Value can be positive or negative.

Formulas to find Volumetric Coefficient of Thermal Expansion

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Density

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Molar Specific Heat Capacity at Constant Pressure

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.

Symbol: C_p

Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

Other Formulas to find Isothermal Compressibility

Go Isothermal Compressibility given Molar Heat Capacity Ratio

K T = γ \cdot K S

Go Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume

K T = (\frac{C p}{C v}) \cdot K S

Go Isothermal Compressibility given Thermal Pressure Coefficient and Cp

K T = \frac{1}{(\frac{1}{K S}) - (\frac{(Λ^{2}) \cdot T}{ρ \cdot (C p - [R])})}

Go Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cv

K T = K S + (\frac{(α^{2}) \cdot T}{ρ \cdot (C v + [R])})

Other formulas in Isothermal Compressibility category

Go Isothermal Compressibility given Relative Size of Fluctuations in Particle Density

K iso_comp = \frac{(\frac{ΔN 2}{V})}{[BoltZ] \cdot T \cdot (ρ^{2})}

How to Evaluate Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp?

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp evaluator uses Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure)) to evaluate the Isothermal Compressibility, The Isothermal compressibility given volumetric coefficient of thermal expansion and Cp is the change in volume due to change in pressure at constant temperature. Isothermal Compressibility is denoted by K_T symbol.

How to evaluate Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp using this online evaluator? To use this online evaluator for Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp, enter Isentropic Compressibility (K_S), Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Pressure (C_p) and hit the calculate button.

FAQs on Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp

What is the formula to find Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp?

The formula of Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp is expressed as Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure)). Here is an example- 70.43676 = 70+(((25^2)*85)/(997*122)).

How to calculate Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp?

With Isentropic Compressibility (K_S), Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Pressure (C_p) we can find Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp using the formula - Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure)).

What are the other ways to Calculate Isothermal Compressibility?

Here are the different ways to Calculate Isothermal Compressibility-

Isothermal Compressibility=Ratio of Molar Heat Capacity*Isentropic Compressibility
Isothermal Compressibility=(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility
Isothermal Compressibility=1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))))

Can the Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp be negative?

Yes, the Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp, measured in Compressibility can be negative.

Which unit is used to measure Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp?

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp is usually measured using the Square Meter per Newton[m²/N] for Compressibility. Square Centimeter per Newton[m²/N] are the few other units in which Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp can be measured.

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Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula

​GoIsothermal Compressibility given Molar Heat Capacity Ratio Formula

​GoIsothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume Formula

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Example

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Solution

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp Formula Elements

Other Formulas to find Isothermal Compressibility

Other formulas in Isothermal Compressibility category

How to Evaluate Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp?

FAQs on Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp

Variable Name

GoIsothermal Compressibility given Molar Heat Capacity Ratio Formula

GoIsothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume Formula