Specific Heat at Constant Volume Calculator

✖Heat change is defined as the change in enthalpy of the reaction.ⓘ Heat Change [ΔQ]			+10% -10%
✖Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.ⓘ Number of Moles [N_moles]			+10% -10%
✖Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.ⓘ Temperature Change [ΔT]			+10% -10%

✖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 at Constant Volume [C_{v molar}]

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Formula

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Specific Heat at Constant Volume

Formula

`"C"_{"v molar"} = "ΔQ"/("N"_{"moles"}*"ΔT")`

Example

`"2.547619J/K*mol"="107J"/("2"*"21K")`

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Specific Heat at Constant Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Specific Heat Capacity at Constant Volume = Heat Change/(Number of Moles*Temperature Change)
C_{v molar} = ΔQ/(N_moles*ΔT)
This formula uses 4 Variables

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.
Heat Change - (Measured in Joule) - Heat change is defined as the change in enthalpy of the reaction.
Number of Moles - Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.
Temperature Change - (Measured in Kelvin) - Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.

STEP 1: Convert Input(s) to Base Unit

Heat Change: 107 Joule --> 107 Joule No Conversion Required
Number of Moles: 2 --> No Conversion Required
Temperature Change: 21 Kelvin --> 21 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_{v molar} = ΔQ/(N_moles*ΔT) --> 107/(2*21)

Evaluating ... ...

C_{v molar} = 2.54761904761905

STEP 3: Convert Result to Output's Unit

2.54761904761905 Joule Per Kelvin Per Mole --> No Conversion Required

FINAL ANSWER

2.54761904761905 ≈ 2.547619 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Volume

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Pragati Jaju

College Of Engineering (COEP), Pune

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< 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 at Constant Volume Formula

Molar Specific Heat Capacity at Constant Volume = Heat Change/(Number of Moles*Temperature Change)
C_{v molar} = ΔQ/(N_moles*ΔT)

Define specific heat?

The specific heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius. The relationship between heat and temperature change is usually expressed in the form Q=mcΔt, where c is the specific heat. The relationship does not apply if a phase change is encountered, because the heat added or removed during a phase change does not change the temperature.

How to Calculate Specific Heat at Constant Volume?

Specific Heat at Constant Volume calculator uses Molar Specific Heat Capacity at Constant Volume = Heat Change/(Number of Moles*Temperature Change) to calculate the Molar Specific Heat Capacity at Constant Volume, Specific heat at constant volume means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant volume. Molar Specific Heat Capacity at Constant Volume is denoted by C_{v molar} symbol.

How to calculate Specific Heat at Constant Volume using this online calculator? To use this online calculator for Specific Heat at Constant Volume, enter Heat Change (ΔQ), Number of Moles (N_moles) & Temperature Change (ΔT) and hit the calculate button. Here is how the Specific Heat at Constant Volume calculation can be explained with given input values -> 2.547619 = 107/(2*21).

FAQ

What is Specific Heat at Constant Volume?

Specific heat at constant volume means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant volume and is represented as C_{v molar} = ΔQ/(N_moles*ΔT) or Molar Specific Heat Capacity at Constant Volume = Heat Change/(Number of Moles*Temperature Change). Heat change is defined as the change in enthalpy of the reaction, Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight & Temperature Change is a process whereby the degree of hotness of a body (or medium) changes.

How to calculate Specific Heat at Constant Volume?

Specific heat at constant volume means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant volume is calculated using Molar Specific Heat Capacity at Constant Volume = Heat Change/(Number of Moles*Temperature Change). To calculate Specific Heat at Constant Volume, you need Heat Change (ΔQ), Number of Moles (N_moles) & Temperature Change (ΔT). With our tool, you need to enter the respective value for Heat Change, Number of Moles & Temperature Change 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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