Specific Heat Capacity at Constant Volume Calculator

✖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 Pressure [C_{p molar}]

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

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Formula

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Specific Heat Capacity at Constant Volume

Formula

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

Example

`"113.6855J/K*mol"="122J/K*mol"-"[R]"`

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Specific Heat Capacity at Constant Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_{v molar} = C_{p molar}-[R] --> 122-[R]

Evaluating ... ...

C_{v molar} = 113.685537381847

STEP 3: Convert Result to Output's Unit

113.685537381847 Joule Per Kelvin Per Mole --> No Conversion Required

FINAL ANSWER

113.685537381847 ≈ 113.6855 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Volume

(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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< 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

Specific Heat Capacity at Constant Volume Formula

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

What is Specific Heat Capacity at Constant Volume?

If the heat transfer to the sample is done when the volume of the sample is held constant, then the specific heat obtained using such a method is called Molar Specific Heat Capacity at Constant Volume.

How to Calculate Specific Heat Capacity at Constant Volume?

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

How to calculate Specific Heat Capacity at Constant Volume using this online calculator? To use this online calculator for Specific Heat Capacity at Constant Volume, enter Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) and hit the calculate button. Here is how the Specific Heat Capacity at Constant Volume calculation can be explained with given input values -> 113.6855 = 122-[R].

FAQ

What is Specific Heat Capacity at Constant Volume?

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

How to calculate Specific Heat Capacity at Constant Volume?

The Specific Heat Capacity at Constant Volume is given by Mayer's relation when we know the Specific Heat Capacity at Constant pressure is calculated using Molar Specific Heat Capacity at Constant Volume = Molar Specific Heat Capacity at Constant Pressure-[R]. To calculate Specific Heat Capacity at Constant Volume, you need Molar Specific Heat Capacity at Constant Pressure (C_{p molar}). With our tool, you need to enter the respective value for Molar Specific Heat Capacity at Constant Pressure 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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