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Debye T-cubed Law for Heat Capacity of Crystals Calculator

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✖Constant for Debye T-cubed law is denoted by α= 12π⁴R/5Θ³.ⓘ Constant for Debye T-cubed law [a]			+10% -10%
✖Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius or Kelvin.ⓘ Temperature [T]			+10% -10%

✖Heat Capacity at Constant Volume is defined as the amount of heat energy required to raise the temperature of a given quantity of matter by one degree Celsius.ⓘ Debye T-cubed Law for Heat Capacity of Crystals [C_v]

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Debye T-cubed Law for Heat Capacity of Crystals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Capacity at Constant Volume = Constant for Debye T-cubed law*Temperature^3
C_v = a*T^3
This formula uses 3 Variables

Variables Used

Heat Capacity at Constant Volume - (Measured in Joule per Kelvin) - Heat Capacity at Constant Volume is defined as the amount of heat energy required to raise the temperature of a given quantity of matter by one degree Celsius.
Constant for Debye T-cubed law - Constant for Debye T-cubed law is denoted by α= 12π⁴R/5Θ³.
Temperature - (Measured in Kelvin) - Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius or Kelvin.

STEP 1: Convert Input(s) to Base Unit

Constant for Debye T-cubed law: 1.11E-07 --> No Conversion Required
Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_v = a*T^3 --> 1.11E-07*300^3

Evaluating ... ...

C_v = 2.997

STEP 3: Convert Result to Output's Unit

2.997 Joule per Kelvin --> No Conversion Required

FINAL ANSWER

2.997 Joule per Kelvin <-- Heat Capacity at Constant Volume

(Calculation completed in 00.020 seconds)

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Debye T-cubed Law for Heat Capacity of Crystals Formula

LaTeX Go

Heat Capacity at Constant Volume = Constant for Debye T-cubed law*Temperature^3
C_v = a*T^3

What is Statistical Thermodynamics?

Statistical thermodynamics is a theory that uses molecular properties to predict the behavior of macroscopic quantities of compounds. While the origins of statistical thermodynamics predate the development of quantum mechanics, the modern development of statistical thermodynamics assumes that the quantized energy levels associated with a particular system are known. From these energy-level data, a temperature-dependent quantity called the partition function can be calculated. From the partition function, all of the thermodynamic properties of the system can be calculated. Statistical thermodynamics has also been applied to the general problem of predicting reaction rates. This application is called transition state theory or the theory of absolute reaction rates.

How to Calculate Debye T-cubed Law for Heat Capacity of Crystals?

Debye T-cubed Law for Heat Capacity of Crystals calculator uses Heat Capacity at Constant Volume = Constant for Debye T-cubed law*Temperature^3 to calculate the Heat Capacity at Constant Volume, The Debye T-cubed Law for Heat Capacity of Crystals formula is defined as the specific heat of a substance at extremely low temperatures is proportional to the cube of the fraction of its absolute temperature T and Debye temperature (θD). Heat Capacity at Constant Volume is denoted by C_v symbol.

How to calculate Debye T-cubed Law for Heat Capacity of Crystals using this online calculator? To use this online calculator for Debye T-cubed Law for Heat Capacity of Crystals, enter Constant for Debye T-cubed law (a) & Temperature (T) and hit the calculate button. Here is how the Debye T-cubed Law for Heat Capacity of Crystals calculation can be explained with given input values -> 2.2E+6 = 1.11E-07*300^3.

FAQ

What is Debye T-cubed Law for Heat Capacity of Crystals?

The Debye T-cubed Law for Heat Capacity of Crystals formula is defined as the specific heat of a substance at extremely low temperatures is proportional to the cube of the fraction of its absolute temperature T and Debye temperature (θD) and is represented as C_v = a*T^3 or Heat Capacity at Constant Volume = Constant for Debye T-cubed law*Temperature^3. Constant for Debye T-cubed law is denoted by α= 12π⁴R/5Θ³ & Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius or Kelvin.

How to calculate Debye T-cubed Law for Heat Capacity of Crystals?

The Debye T-cubed Law for Heat Capacity of Crystals formula is defined as the specific heat of a substance at extremely low temperatures is proportional to the cube of the fraction of its absolute temperature T and Debye temperature (θD) is calculated using Heat Capacity at Constant Volume = Constant for Debye T-cubed law*Temperature^3. To calculate Debye T-cubed Law for Heat Capacity of Crystals, you need Constant for Debye T-cubed law (a) & Temperature (T). With our tool, you need to enter the respective value for Constant for Debye T-cubed law & Temperature 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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