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

✖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 is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖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 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.ⓘ Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion [C_p]

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

STEP 0: Pre-Calculation Summary

Formula Used

Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density)
C_p = ((α^2)*T)/((K_T-K_S)*ρ)
This formula uses 6 Variables

Variables Used

Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - 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.
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.
Temperature - (Measured in Kelvin) - Temperature is 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.

STEP 1: Convert Input(s) to Base Unit

Volumetric Coefficient of Thermal Expansion: 25 1 Per Kelvin --> 25 1 Per Kelvin No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = ((α^2)*T)/((K_T-K_S)*ρ) --> ((25^2)*85)/((75-70)*997)

Evaluating ... ...

C_p = 10.6569709127382

STEP 3: Convert Result to Output's Unit

10.6569709127382 Joule Per Kelvin Per Mole --> No Conversion Required

FINAL ANSWER

10.6569709127382 ≈ 10.65697 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Pressure

(Calculation completed in 00.004 seconds)

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

Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion calculator uses Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density) to calculate 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 C_p symbol.

How to calculate Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion using this online calculator? To use this online calculator for Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion, enter Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Density (ρ) and hit the calculate button. Here is how the Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion calculation can be explained with given input values -> 10.65697 = ((25^2)*85)/((75-70)*997).

FAQ

What is Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion?

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 and is represented as C_p = ((α^2)*T)/((K_T-K_S)*ρ) or Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density). Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature, Temperature is the degree or intensity of heat present in a substance or object, 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.

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

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 is calculated using Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density). To calculate Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion, you need Volumetric Coefficient of Thermal Expansion (α), Temperature (T), Isothermal Compressibility (K_T), Isentropic Compressibility (K_S) & Density (ρ). With our tool, you need to enter the respective value for Volumetric Coefficient of Thermal Expansion, Temperature, Isothermal Compressibility, Isentropic Compressibility & Density 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 Molar Specific Heat Capacity at Constant Pressure?

In this formula, Molar Specific Heat Capacity at Constant Pressure uses Volumetric Coefficient of Thermal Expansion, Temperature, Isothermal Compressibility, Isentropic Compressibility & Density. We can use 3 other way(s) to calculate the same, which is/are as follows -

Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]
Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-2.5)*[R])+[R]
Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-3)*[R])+[R]

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