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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
Cp=(α2)T(KT-KS)ρ
Cp - Molar Specific Heat Capacity at Constant Pressure?α - Volumetric Coefficient of Thermal Expansion?T - Temperature?KT - Isothermal Compressibility?KS - Isentropic Compressibility?ρ - Density?

Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion Example

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Here is how the Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion equation looks like with Values.

Here is how the Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion equation looks like with Units.

Here is how the Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion equation looks like.

10.657Edit=(25Edit2)85Edit(75Edit-70Edit)997Edit
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Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion Solution

Follow our step by step solution on how to calculate Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion?

FIRST Step Consider the formula
Cp=(α2)T(KT-KS)ρ
Next Step Substitute values of Variables
Cp=(25K⁻¹2)85K(75m²/N-70m²/N)997kg/m³
Next Step Prepare to Evaluate
Cp=(252)85(75-70)997
Next Step Evaluate
Cp=10.6569709127382J/K*mol
LAST Step Rounding Answer
Cp=10.657J/K*mol

Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion 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: Cp
Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol
Note: Value should be greater than 0.
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.
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.
Isothermal Compressibility
The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Symbol: KT
Measurement: CompressibilityUnit: m²/N
Note: Value can be positive or negative.
Isentropic Compressibility
The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.
Symbol: KS
Measurement: CompressibilityUnit: m²/N
Note: Value can be positive or negative.
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.

Other Formulas to find Molar Specific Heat Capacity at Constant Pressure

​Go Molar Heat Capacity at Constant Pressure given Degree of Freedom
Cp=(F[R]2)+[R]
​Go Molar Heat Capacity at Constant Pressure of Linear Molecule
Cp=(((3N)-2.5)[R])+[R]
​Go Molar Heat Capacity at Constant Pressure of Non-Linear Molecule
Cp=(((3N)-3)[R])+[R]
​Go Molar Heat Capacity at Constant Pressure given Compressibility
Cp=(KTKS)Cv

Other formulas in Molar Heat Capacity category

​Go Molar Heat Capacity at Constant Volume given Degree of Freedom
Cv=F[R]2
​Go Molar Heat Capacity at Constant Volume of Linear Molecule
Cv=((3N)-2.5)[R]
​Go Molar Heat Capacity at Constant Volume of Non-Linear Molecule
Cv=((3N)-3)[R]
​Go Molar Heat Capacity at Constant Volume given Compressibility
Cv=(KSKT)Cp

How to Evaluate Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion?

Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion evaluator uses Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density) to evaluate the Molar Specific Heat Capacity at Constant Pressure, The Molar Heat Capacity at constant Pressure given volumetric coefficient of thermal expansion 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 Cp symbol.

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

FAQs on Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion

What is the formula to find Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion?
The formula of Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion is expressed as Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density). Here is an example- 10.65697 = ((25^2)*85)/((75-70)*997).
How to calculate Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion?
With Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Isothermal Compressibility (KT), Isentropic Compressibility (KS) & Density (ρ) we can find Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion using the formula - Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density).
What are the other ways to Calculate Molar Specific Heat Capacity at Constant Pressure?
Here are the different ways to Calculate Molar Specific Heat Capacity at Constant Pressure-
  • Molar Specific Heat Capacity at Constant Pressure=((Degree of Freedom*[R])/2)+[R]OpenImg
  • Molar Specific Heat Capacity at Constant Pressure=(((3*Atomicity)-2.5)*[R])+[R]OpenImg
  • Molar Specific Heat Capacity at Constant Pressure=(((3*Atomicity)-3)*[R])+[R]OpenImg
Can the Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion be negative?
No, the Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion, 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 Volumetric Coefficient of Thermal Expansion?
Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion 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 Volumetric Coefficient of Thermal Expansion can be measured.
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