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Temperature of Gas given Average Velocity Formula

GoTemperature of Gas given Average Velocity in 2D Formula

GoTemperature of Gas given Kinetic Energy Formula

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

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

T_g - Temperature of Gas?M_molar - Molar Mass?C_av - Average Velocity of Gas?[R] - Universal gas constant?π - Archimedes' constant?

Temperature of Gas given Average Velocity Example

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Here is how the Temperature of Gas given Average Velocity equation looks like with Values.

Here is how the Temperature of Gas given Average Velocity equation looks like with Units.

Here is how the Temperature of Gas given Average Velocity equation looks like.

0.052 = \frac{44.01 \cdot 3.1416 \cdot ({(5)}^{2})}{8 \cdot 8.3145}

0.052K = \frac{44.01g/mol \cdot 3.1416 \cdot ({(5m/s)}^{2})}{8 \cdot 8.3145}

0.052 = \frac{44.01 \cdot 3.1416 \cdot ({(5)}^{2})}{8 \cdot 8.3145}

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Temperature of Gas given Average Velocity Solution

Follow our step by step solution on how to calculate Temperature of Gas given Average Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T g = \frac{44.01g/mol \cdot π \cdot ({(5m/s)}^{2})}{8 \cdot [R]}

Next Step Substitute values of Constants

∴

T g = \frac{44.01g/mol \cdot 3.1416 \cdot ({(5m/s)}^{2})}{8 \cdot 8.3145}

Next Step Convert Units

∴

T g = \frac{0.044kg/mol \cdot 3.1416 \cdot ({(5m/s)}^{2})}{8 \cdot 8.3145}

Next Step Prepare to Evaluate

∴

T g = \frac{0.044 \cdot 3.1416 \cdot ({(5)}^{2})}{8 \cdot 8.3145}

Next Step Evaluate

∴

T g = 0.0519657354277683K

LAST Step Rounding Answer

∴

T g = 0.052K

Temperature of Gas given Average Velocity 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

Molar Mass

Molar Mass is the mass of a given substance divided by the amount of substance.

Symbol: M_molar

Measurement: Molar MassUnit: g/mol

Note: Value can be positive or negative.

Formulas to find Molar Mass

Average Velocity of Gas

The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

Symbol: C_av

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Gas

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Temperature of Gas

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]}

Go Temperature of Gas given Root Mean Square Speed and Molar Mass in 1D

T g = ({(C RMS)}^{2}) \cdot \frac{M molar}{[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 Gas given Average Velocity?

Temperature of Gas given Average Velocity evaluator uses Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R]) to evaluate the Temperature of Gas, The Temperature of Gas given Average Velocity formula is defined as the product of the square of the average velocity and molar mass of the gas. Temperature of Gas is denoted by T_g symbol.

How to evaluate Temperature of Gas given Average Velocity using this online evaluator? To use this online evaluator for Temperature of Gas given Average Velocity, enter Molar Mass (M_molar) & Average Velocity of Gas (C_av) and hit the calculate button.

FAQs on Temperature of Gas given Average Velocity

What is the formula to find Temperature of Gas given Average Velocity?

The formula of Temperature of Gas given Average Velocity is expressed as Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R]). Here is an example- 0.051966 = (0.04401*pi*((5)^2))/(8*[R]).

How to calculate Temperature of Gas given Average Velocity?

With Molar Mass (M_molar) & Average Velocity of Gas (C_av) we can find Temperature of Gas given Average Velocity using the formula - Temperature of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*[R]). This formula also uses Universal gas constant, Archimedes' 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*2*((Average Velocity of Gas)^2))/(pi*[R])
Temperature of Gas=(2/3)*(Kinetic Energy/([R]*Number of Moles))
Temperature of Gas=((Root Mean Square Speed)^2)*Molar Mass/(3*[R])

Can the Temperature of Gas given Average Velocity be negative?

Yes, the Temperature of Gas given Average Velocity, measured in Temperature can be negative.

Which unit is used to measure Temperature of Gas given Average Velocity?

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

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