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Determination of Entropy using Sackur-Tetrode Equation Formula

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Standard Entropy (S°) is the absolute entropy of a pure material at 25°C (298 K) and 1 atm pressure. Check FAQs

S° m = R \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (A r) + (\frac{5}{2}) \cdot \ln (T) - \ln (\frac{p}{p°}))

S°_m - Standard Entropy?R - Universal Gas Constant?A_r - Relative Atomic Mass?T - Temperature?p - Pressure?p° - Standard Pressure?

Determination of Entropy using Sackur-Tetrode Equation Example

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Here is how the Determination of Entropy using Sackur-Tetrode Equation equation looks like with Values.

Here is how the Determination of Entropy using Sackur-Tetrode Equation equation looks like with Units.

Here is how the Determination of Entropy using Sackur-Tetrode Equation equation looks like.

125.2828 = 8.314 \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (4) + (\frac{5}{2}) \cdot \ln (300) - \ln (\frac{1.123}{1}))

125.2828J/K = 8.314 \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (4) + (\frac{5}{2}) \cdot \ln (300K) - \ln (\frac{1.123at}{1at}))

125.2828 = 8.314 \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (4) + (\frac{5}{2}) \cdot \ln (300) - \ln (\frac{1.123}{1}))

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Determination of Entropy using Sackur-Tetrode Equation Solution

Follow our step by step solution on how to calculate Determination of Entropy using Sackur-Tetrode Equation?

FIRST Step Consider the formula

S° m = R \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (A r) + (\frac{5}{2}) \cdot \ln (T) - \ln (\frac{p}{p°}))

Next Step Substitute values of Variables

∴

S° m = 8.314 \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (4) + (\frac{5}{2}) \cdot \ln (300K) - \ln (\frac{1.123at}{1at}))

Next Step Convert Units

∴

S° m = 8.314 \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (4) + (\frac{5}{2}) \cdot \ln (300K) - \ln (\frac{110128.6795Pa}{98066.5001Pa}))

Next Step Prepare to Evaluate

∴

S° m = 8.314 \cdot (- 1.154 + (\frac{3}{2}) \cdot \ln (4) + (\frac{5}{2}) \cdot \ln (300) - \ln (\frac{110128.6795}{98066.5001}))

Next Step Evaluate

∴

S° m = 125.282785161331J/K

LAST Step Rounding Answer

∴

S° m = 125.2828J/K

Determination of Entropy using Sackur-Tetrode Equation Formula Elements

Variables

Functions

Standard Entropy

Standard Entropy (S°) is the absolute entropy of a pure material at 25°C (298 K) and 1 atm pressure.

Symbol: S°_m

Measurement: EntropyUnit: J/K

Note: Value can be positive or negative.

Formulas to find Standard Entropy

Universal Gas Constant

Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Universal Gas Constant

Relative Atomic Mass

Relative Atomic Mass, is a dimensionless physical quantity defined as the ratio of the average mass of atoms of a chemical element in a given sample to the atomic mass constant.

Symbol: A_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Relative Atomic Mass

Temperature

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius or Kelvin.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: at

Note: Value can be positive or negative.

Formulas to find Pressure

Standard Pressure

Standard Pressure is equal to 1 atm (101.325 kilopascals).

Symbol: p°

Measurement: PressureUnit: at

Note: Value can be positive or negative.

Formulas to find Standard Pressure

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Distinguishable Particles category

Go Total Number of Microstates in All Distributions

W tot = \frac{(N' + E - 1)!}{(N' - 1)! \cdot (E!)}

Go Translational Partition Function

q trans = V \cdot {(\frac{2 \cdot π \cdot m \cdot [BoltZ] \cdot T}{{[hP]}^{2}})}^{\frac{3}{2}}

Go Translational Partition Function using Thermal de Broglie Wavelength

q trans = \frac{V}{{(Λ)}^{3}}

Go Determination of Helmholtz Free Energy using Sackur-Tetrode Equation

A = - R \cdot T \cdot (\ln (\frac{[BoltZ] \cdot T}{p} \cdot {(\frac{2 \cdot π \cdot m \cdot [BoltZ] \cdot T}{{[hP]}^{2}})}^{\frac{3}{2}}) + 1)

How to Evaluate Determination of Entropy using Sackur-Tetrode Equation?

Determination of Entropy using Sackur-Tetrode Equation evaluator uses Standard Entropy = Universal Gas Constant*(-1.154+(3/2)*ln(Relative Atomic Mass)+(5/2)*ln(Temperature)-ln(Pressure/Standard Pressure)) to evaluate the Standard Entropy, The Determination of Entropy using Sackur-Tetrode Equation formula is defined as an expression for the entropy of a mono atomic ideal gas. Standard Entropy is denoted by S°_m symbol.

How to evaluate Determination of Entropy using Sackur-Tetrode Equation using this online evaluator? To use this online evaluator for Determination of Entropy using Sackur-Tetrode Equation, enter Universal Gas Constant (R), Relative Atomic Mass (A_r), Temperature (T), Pressure (p) & Standard Pressure (p°) and hit the calculate button.

FAQs on Determination of Entropy using Sackur-Tetrode Equation

What is the formula to find Determination of Entropy using Sackur-Tetrode Equation?

The formula of Determination of Entropy using Sackur-Tetrode Equation is expressed as Standard Entropy = Universal Gas Constant*(-1.154+(3/2)*ln(Relative Atomic Mass)+(5/2)*ln(Temperature)-ln(Pressure/Standard Pressure)). Here is an example- 150.3074 = 8.314*(-1.154+(3/2)*ln(4)+(5/2)*ln(300)-ln(110128.6795/98066.5000980665)).

How to calculate Determination of Entropy using Sackur-Tetrode Equation?

With Universal Gas Constant (R), Relative Atomic Mass (A_r), Temperature (T), Pressure (p) & Standard Pressure (p°) we can find Determination of Entropy using Sackur-Tetrode Equation using the formula - Standard Entropy = Universal Gas Constant*(-1.154+(3/2)*ln(Relative Atomic Mass)+(5/2)*ln(Temperature)-ln(Pressure/Standard Pressure)). This formula also uses Natural Logarithm (ln) function(s).

Can the Determination of Entropy using Sackur-Tetrode Equation be negative?

Yes, the Determination of Entropy using Sackur-Tetrode Equation, measured in Entropy can be negative.

Which unit is used to measure Determination of Entropy using Sackur-Tetrode Equation?

Determination of Entropy using Sackur-Tetrode Equation is usually measured using the Joule per Kelvin[J/K] for Entropy. Joule per Kilokelvin[J/K], Joule per Fahrenheit[J/K], Joule per Celsius[J/K] are the few other units in which Determination of Entropy using Sackur-Tetrode Equation can be measured.

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Determination of Entropy using Sackur-Tetrode Equation Formula

Determination of Entropy using Sackur-Tetrode Equation Example

Determination of Entropy using Sackur-Tetrode Equation Solution

Determination of Entropy using Sackur-Tetrode Equation Formula Elements

Other formulas in Distinguishable Particles category

How to Evaluate Determination of Entropy using Sackur-Tetrode Equation?

FAQs on Determination of Entropy using Sackur-Tetrode Equation

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