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Temperature of One Gas Molecule given Boltzmann Constant Formula

GoTemperature of Gas given Average Velocity Formula

GoTemperature of Gas given Average Velocity in 2D Formula

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The temperature of Gas is the measure of hotness or coldness of a gas. Check FAQs

T g = \frac{2 \cdot KE}{3 \cdot [BoltZ]}

T_g - Temperature of Gas?KE - Kinetic Energy?[BoltZ] - Boltzmann constant?

Temperature of One Gas Molecule given Boltzmann Constant Example

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Here is how the Temperature of One Gas Molecule given Boltzmann Constant equation looks like with Values.

Here is how the Temperature of One Gas Molecule given Boltzmann Constant equation looks like with Units.

Here is how the Temperature of One Gas Molecule given Boltzmann Constant equation looks like.

1.9E+24 = \frac{2 \cdot 40}{3 \cdot 1.4E-23}

1.9E+24K = \frac{2 \cdot 40J}{3 \cdot 1.4E-23J/K}

1.9E+24 = \frac{2 \cdot 40}{3 \cdot 1.4E-23}

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Temperature of One Gas Molecule given Boltzmann Constant Solution

Follow our step by step solution on how to calculate Temperature of One Gas Molecule given Boltzmann Constant?

FIRST Step Consider the formula

T g = \frac{2 \cdot KE}{3 \cdot [BoltZ]}

Next Step Substitute values of Variables

∴

T g = \frac{2 \cdot 40J}{3 \cdot [BoltZ]}

Next Step Substitute values of Constants

∴

T g = \frac{2 \cdot 40J}{3 \cdot 1.4E-23J/K}

Next Step Prepare to Evaluate

∴

T g = \frac{2 \cdot 40}{3 \cdot 1.4E-23}

Next Step Evaluate

∴

T g = 1.93145947577351E+24K

LAST Step Rounding Answer

∴

T g = 1.9E+24K

Temperature of One Gas Molecule given Boltzmann Constant Formula Elements

Variables

Constants

Temperature of Gas

The temperature of Gas is the measure of hotness or coldness of a gas.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Kinetic Energy

Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Other Formulas to find Temperature of Gas

Go Temperature of Gas given Average Velocity

T g = \frac{M molar \cdot π \cdot ({(C av)}^{2})}{8 \cdot [R]}

Go Temperature of Gas given Average Velocity in 2D

T g = \frac{M molar \cdot 2 \cdot ({(C av)}^{2})}{π \cdot [R]}

Go Temperature of Gas given Kinetic Energy

T g = (\frac{2}{3}) \cdot (\frac{KE}{[R] \cdot N moles})

Go Temperature of Gas given Root Mean Square Speed and Molar Mass

T g = ({(C RMS)}^{2}) \cdot \frac{M molar}{3 \cdot [R]}

Other formulas in Temperature of Gas category

Go Temperature of Gas 1 given Kinetic Energy of both Gases

T 1 = T 2 \cdot (\frac{KE 1}{KE 2}) \cdot (\frac{n 2}{n 1})

Go Temperature of Gas 2 given Kinetic Energy of both Gases

T 2 = T 1 \cdot (\frac{n 1}{n 2}) \cdot (\frac{KE 2}{KE 1})

How to Evaluate Temperature of One Gas Molecule given Boltzmann Constant?

Temperature of One Gas Molecule given Boltzmann Constant evaluator uses Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ]) to evaluate the Temperature of Gas, The Temperature of One Gas Molecule given Boltzmann Constant formula is defined as a two-thirds ratio of the kinetic energy of the gas molecule to the Boltzmann constant. Temperature of Gas is denoted by T_g symbol.

How to evaluate Temperature of One Gas Molecule given Boltzmann Constant using this online evaluator? To use this online evaluator for Temperature of One Gas Molecule given Boltzmann Constant, enter Kinetic Energy (KE) and hit the calculate button.

FAQs on Temperature of One Gas Molecule given Boltzmann Constant

What is the formula to find Temperature of One Gas Molecule given Boltzmann Constant?

The formula of Temperature of One Gas Molecule given Boltzmann Constant is expressed as Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ]). Here is an example- 1.9E+24 = (2*40)/(3*[BoltZ]).

How to calculate Temperature of One Gas Molecule given Boltzmann Constant?

With Kinetic Energy (KE) we can find Temperature of One Gas Molecule given Boltzmann Constant using the formula - Temperature of Gas = (2*Kinetic Energy)/(3*[BoltZ]). This formula also uses Boltzmann constant .

What are the other ways to Calculate Temperature of Gas?

Here are the different ways to Calculate Temperature of Gas-

Temperature of Gas=(Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R])
Temperature of Gas=(Molar Mass*2*((Average Velocity of Gas)^2))/(pi*[R])
Temperature of Gas=(2/3)*(Kinetic Energy/([R]*Number of Moles))

Can the Temperature of One Gas Molecule given Boltzmann Constant be negative?

Yes, the Temperature of One Gas Molecule given Boltzmann Constant, measured in Temperature can be negative.

Which unit is used to measure Temperature of One Gas Molecule given Boltzmann Constant?

Temperature of One Gas Molecule given Boltzmann Constant is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature of One Gas Molecule given Boltzmann Constant can be measured.

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