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Molar Heat Capacity at Constant Pressure given Compressibility Formula

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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. Check FAQs

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

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

Molar Heat Capacity at Constant Pressure given Compressibility Example

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

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

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

110.3571 = (\frac{75}{70}) \cdot 103

110.3571J/K*mol = (\frac{75m²/N}{70m²/N}) \cdot 103J/K*mol

110.3571 = (\frac{75}{70}) \cdot 103

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Molar Heat Capacity at Constant Pressure given Compressibility Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C p = (\frac{75m²/N}{70m²/N}) \cdot 103J/K*mol

Next Step Prepare to Evaluate

∴

C p = (\frac{75}{70}) \cdot 103

Next Step Evaluate

∴

C p = 110.357142857143J/K*mol

LAST Step Rounding Answer

∴

C p = 110.3571J/K*mol

Molar Heat Capacity at Constant Pressure given Compressibility Formula Elements

Variables

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

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

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

Other formulas in Molar Heat Capacity category

Go Average Thermal Energy of Non-linear polyatomic Gas Molecule given Atomicity

Q atomicity = ((6 \cdot N) - 6) \cdot (0.5 \cdot [BoltZ] \cdot T)

Go Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity

Q atomicity = ((6 \cdot N) - 5) \cdot (0.5 \cdot [BoltZ] \cdot T)

Go Internal Molar Energy of Linear Molecule given Atomicity

U molar = ((6 \cdot N) - 5) \cdot (0.5 \cdot [R] \cdot T)

Go Internal Molar Energy of Non-Linear Molecule given Atomicity

U molar = ((6 \cdot N) - 6) \cdot (0.5 \cdot [R] \cdot T)

How to Evaluate Molar Heat Capacity at Constant Pressure given Compressibility?

Molar Heat Capacity at Constant Pressure given Compressibility evaluator uses Molar Specific Heat Capacity at Constant Pressure = (Isothermal Compressibility/Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Volume to evaluate the Molar Specific Heat Capacity at Constant Pressure, The Molar Heat Capacity at constant Pressure given Compressibility is the amount of heat required to raise the temperature of 1 mole of the gas by 1 °C at the constant pressure. Molar Specific Heat Capacity at Constant Pressure is denoted by C_p symbol.

How to evaluate Molar Heat Capacity at Constant Pressure given Compressibility using this online evaluator? To use this online evaluator for Molar Heat Capacity at Constant Pressure given Compressibility, enter Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Molar Specific Heat Capacity at Constant Volume (C_v) and hit the calculate button.

FAQs on Molar Heat Capacity at Constant Pressure given Compressibility

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

The formula of Molar Heat Capacity at Constant Pressure given Compressibility is expressed as Molar Specific Heat Capacity at Constant Pressure = (Isothermal Compressibility/Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Volume. Here is an example- 110.3571 = (75/70)*103.

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

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

Can the Molar Heat Capacity at Constant Pressure given Compressibility be negative?

No, the Molar Heat Capacity at Constant Pressure given Compressibility, measured in Molar Specific Heat Capacity at Constant Pressure cannot be negative.

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

Molar Heat Capacity at Constant Pressure given Compressibility is usually measured using the Joule Per Kelvin Per Mole[J/K*mol] for Molar Specific Heat Capacity at Constant Pressure. Joule Per Fahrenheit Per Mole[J/K*mol], Joule Per Celsius Per Mole[J/K*mol], Joule Per Reaumur Per Mole[J/K*mol] are the few other units in which Molar Heat Capacity at Constant Pressure given Compressibility can be measured.

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