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

GoIsothermal Compressibility given Molar Heat Capacity Ratio Formula

GoIsothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp 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 = (\frac{C p}{C v}) \cdot K S

K_T - Isothermal Compressibility?C_p - Molar Specific Heat Capacity at Constant Pressure?C_v - Molar Specific Heat Capacity at Constant Volume?K_S - Isentropic Compressibility?

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

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Here is how the Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume equation looks like with Values.

Here is how the Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume equation looks like with Units.

Here is how the Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume equation looks like.

82.9126 = (\frac{122}{103}) \cdot 70

82.9126m²/N = (\frac{122J/K*mol}{103J/K*mol}) \cdot 70m²/N

82.9126 = (\frac{122}{103}) \cdot 70

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Compressibility » fx Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume

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

Follow our step by step solution on how to calculate Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K T = (\frac{122J/K*mol}{103J/K*mol}) \cdot 70m²/N

Next Step Prepare to Evaluate

∴

K T = (\frac{122}{103}) \cdot 70

Next Step Evaluate

∴

K T = 82.9126213592233m²/N

LAST Step Rounding Answer

∴

K T = 82.9126m²/N

Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume 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

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

Molar Specific Heat Capacity at Constant Volume

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.

Symbol: C_v

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

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Volume

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

Other Formulas to find Isothermal Compressibility

Go Isothermal Compressibility given Molar Heat Capacity Ratio

K T = γ \cdot K S

Go Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp

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

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 Molar Heat Capacity at Constant Pressure and Volume?

Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume evaluator uses Isothermal Compressibility = (Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility to evaluate the Isothermal Compressibility, The Isothermal compressibility given Molar Heat Capacity at constant Pressure and Volume 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 Molar Heat Capacity at Constant Pressure and Volume using this online evaluator? To use this online evaluator for Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume, enter Molar Specific Heat Capacity at Constant Pressure (C_p), Molar Specific Heat Capacity at Constant Volume (C_v) & Isentropic Compressibility (K_S) and hit the calculate button.

FAQs on Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume

What is the formula to find Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume?

The formula of Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume is expressed as Isothermal Compressibility = (Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility. Here is an example- 82.91262 = (122/103)*70.

How to calculate Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume?

With Molar Specific Heat Capacity at Constant Pressure (C_p), Molar Specific Heat Capacity at Constant Volume (C_v) & Isentropic Compressibility (K_S) we can find Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume using the formula - Isothermal Compressibility = (Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility.

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=Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure))
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 Molar Heat Capacity at Constant Pressure and Volume be negative?

Yes, the Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume, measured in Compressibility can be negative.

Which unit is used to measure Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume?

Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume 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 Molar Heat Capacity at Constant Pressure and Volume can be measured.

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