Specific Heat Capacity at Constant Pressure Calculator

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✖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.ⓘ Molar Specific Heat Capacity at Constant Volume [C_{v molar}]

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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.ⓘ Specific Heat Capacity at Constant Pressure [C_{p molar}]

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Formula

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Specific Heat Capacity at Constant Pressure

Formula

`"C"_{"p molar"} = "[R]"+"C"_{"v molar"}`

Example

`"111.3145J/K*mol"="[R]"+"103J/K*mol"`

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Specific Heat Capacity at Constant Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume
C_{p molar} = [R]+C_{v molar}
This formula uses 1 Constants, 2 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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

STEP 1: Convert Input(s) to Base Unit

Molar Specific Heat Capacity at Constant Volume: 103 Joule Per Kelvin Per Mole --> 103 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_{p molar} = [R]+C_{v molar} --> [R]+103

Evaluating ... ...

C_{p molar} = 111.314462618153

STEP 3: Convert Result to Output's Unit

111.314462618153 Joule Per Kelvin Per Mole --> No Conversion Required

FINAL ANSWER

111.314462618153 ≈ 111.3145 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Pressure

(Calculation completed in 00.004 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< 3 Pressure Calculators

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Pressure given Density and Height

Go Pressure = Density*Acceleration due to Gravity*Height of Crack

Pressure given Force and Area

Go Pressure = Force/Area

< 20 Ideal Gas Calculators

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume

Go Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Final Temperature in Adiabatic Process (using pressure)

Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Final Pressure of System/Initial Pressure of System)^(1-1/(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))

Final Temperature in Adiabatic Process (using volume)

Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Work Done in Isothermal Process (using volume)

Go Work done in Thermodynamic Process = Number of Moles of Ideal Gas* [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)

Heat Transferred in Isothermal Process (using Pressure)

Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)

Heat Transferred in Isothermal Process (using Volume)

Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Final Volume of System/Initial Volume of System)

Work done in Isothermal Process (using Pressure)

Go Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)

Relative Humidity

Go Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)

Heat Transfer in Isobaric Process

Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference

Heat Transfer in Isochoric Process

Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference

Change in Internal Energy of System

Go Change in Internal Energy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference

Enthalpy of System

Go System Enthalpy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference

Ideal Gas Law for Calculating Volume

Go Ideal Gas Law for Calculating Volume = [R]*Temperature of Gas/Total Pressure of Ideal Gas

Ideal Gas Law for Calculating Pressure

Go Ideal Gas Law for calculating Pressure = [R]*(Temperature of Gas)/Total Volume of System

Adiabatic Index

Go Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Volume

Go Molar Specific Heat Capacity at Constant Volume = Molar Specific Heat Capacity at Constant Pressure-[R]

Henry Law Constant using Mole Fraction and Partial Pressure of Gas

Go Henry Law Constant = Partial Pressure/Mole Fraction of Component in Liquid Phase

Mole Fraction of Dissolved Gas using Henry Law

Go Mole Fraction of Component in Liquid Phase = Partial Pressure/Henry Law Constant

Partial Pressure using Henry Law

Go Partial Pressure = Henry Law Constant*Mole Fraction of Component in Liquid Phase

< 11 Basics Calculators

Entropy Change in Isobaric Processin Terms of Volume

Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Volume of System/Initial Volume of System)

Entropy Change for Isochoric Process given Pressures

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Pressure of System/Initial Pressure of System)

Entropy Change in Isobaric Process given Temperature

Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Temperature/Initial Temperature)

Entropy Change for Isochoric Process given Temperature

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Temperature/Initial Temperature)

Work Done in Adiabatic Process given Adiabatic Index

Go Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1)

Entropy Change for Isothermal Process given Volumes

Go Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System)

Heat Transfer at Constant Pressure

Go Heat Transfer = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*(Final Temperature-Initial Temperature)

Isobaric Work for given Mass and Temperatures

Go Isobaric Work = Amount of Gaseous Substance in Moles*[R]*(Final Temperature-Initial Temperature)

Isobaric Work for given Pressure and Volumes

Go Isobaric Work = Absolute Pressure*(Final Volume of System-Initial Volume of System)

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Mass Flow Rate in Steady Flow

Go Mass Flow Rate = Cross Sectional Area*Fluid Velocity/Specific Volume

< 17 Thermal Parameters Calculators

Specific Heat of Gas Mixture

Go Specific Heat of Gas Mixture = (Number of Moles of Gas 1*Specific Heat Capacity of Gas 1 at Constant Volume+Number of Moles of Gas 2*Specific Heat Capacity of Gas 2 at Constant Volume)/(Number of Moles of Gas 1+Number of Moles of Gas 2)

Heat Transfer at Constant Pressure

Go Heat Transfer = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*(Final Temperature-Initial Temperature)

Thermal Stress of Material

Go Thermal Stress = (Coefficient of Linear Thermal Expansion*Young's Modulus*Temperature Change)/(Initial Length)

Change in Potential Energy

Go Change in Potential Energy = Mass*[g]*(Height of Object at Point 2-Height of Object at Point 1)

Saturated Mixture Specific Enthalpy

Go Saturated Mixture Specific Enthalpy = Fluid Specific Enthalpy+Vapour Quality*Latent Heat of Vaporization

Specific Heat at Constant Volume

Go Molar Specific Heat Capacity at Constant Volume = Heat Change/(Number of Moles*Temperature Change)

Thermal Expansion

Go Coefficient of Linear Thermal Expansion = Change in Length/(Initial Length*Temperature Change)

Change in Kinetic Energy

Go Change in Kinetic Energy = 1/2*Mass*(Final Velocity at Point 2^2-Final Velocity at Point 1^2)

Ratio of Specific Heat

Go Specific Heat Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Total Energy of System

Go Total Energy of System = Potential Energy+Kinetic Energy+Internal Energy

Sensible Heat Factor

Go Sensible Heat Factor = Sensible Heat/(Sensible Heat+Latent Heat)

Specific Heat Ratio

Go Specific Heat Ratio Dynamic = Heat Capacity Constant Pressure/Heat Capacity Constant Volume

Specific Heat

Go Specific Heat = Heat*Mass*Temperature Change

Stefan Boltzmann Law

Go Black-Body Radiant Emittance = [Stefan-BoltZ]*Temperature^(4)

Thermal Capacity

Go Thermal Capacity = Mass*Specific Heat

Latent Heat

Go Latent Heat = Heat/Mass

Specific Heat Capacity at Constant Pressure Formula

Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume
C_{p molar} = [R]+C_{v molar}

What is Specific Heat Capacity at Constant Pressure?

If the heat transfer to a system is done when it is held at constant pressure, then the molar specific heat obtained using such a method is called Molar Specific Heat Capacity at Constant Pressure.

How to Calculate Specific Heat Capacity at Constant Pressure?

Specific Heat Capacity at Constant Pressure calculator uses Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume to calculate the Molar Specific Heat Capacity at Constant Pressure, The Specific Heat Capacity at Constant Pressure is given by Mayer's relation when we know the Specific Heat Capacity at Constant volume. Molar Specific Heat Capacity at Constant Pressure is denoted by C_{p molar} symbol.

How to calculate Specific Heat Capacity at Constant Pressure using this online calculator? To use this online calculator for Specific Heat Capacity at Constant Pressure, enter Molar Specific Heat Capacity at Constant Volume (C_{v molar}) and hit the calculate button. Here is how the Specific Heat Capacity at Constant Pressure calculation can be explained with given input values -> 111.3145 = [R]+103.

FAQ

What is Specific Heat Capacity at Constant Pressure?

The Specific Heat Capacity at Constant Pressure is given by Mayer's relation when we know the Specific Heat Capacity at Constant volume and is represented as C_{p molar} = [R]+C_{v molar} or Molar Specific Heat Capacity at Constant Pressure = [R]+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.

How to calculate Specific Heat Capacity at Constant Pressure?

The Specific Heat Capacity at Constant Pressure is given by Mayer's relation when we know the Specific Heat Capacity at Constant volume is calculated using Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume. To calculate Specific Heat Capacity at Constant Pressure, you need Molar Specific Heat Capacity at Constant Volume (C_{v molar}). With our tool, you need to enter the respective value for Molar Specific Heat Capacity at Constant Volume and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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