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Temperature of Gas given Kinetic Energy 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}{3}) \cdot (\frac{KE}{[R] \cdot N moles})

T_g - Temperature of Gas?KE - Kinetic Energy?N_moles - Number of Moles?[R] - Universal gas constant?

Temperature of Gas given Kinetic Energy Example

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Here is how the Temperature of Gas given Kinetic Energy equation looks like with Values.

Here is how the Temperature of Gas given Kinetic Energy equation looks like with Units.

Here is how the Temperature of Gas given Kinetic Energy equation looks like.

1.6036 = (\frac{2}{3}) \cdot (\frac{40}{8.3145 \cdot 2})

1.6036K = (\frac{2}{3}) \cdot (\frac{40J}{8.3145 \cdot 2})

1.6036 = (\frac{2}{3}) \cdot (\frac{40}{8.3145 \cdot 2})

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Temperature of Gas » fx Temperature of Gas given Kinetic Energy

Temperature of Gas given Kinetic Energy Solution

Follow our step by step solution on how to calculate Temperature of Gas given Kinetic Energy?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T g = (\frac{2}{3}) \cdot (\frac{40J}{[R] \cdot 2})

Next Step Substitute values of Constants

∴

T g = (\frac{2}{3}) \cdot (\frac{40J}{8.3145 \cdot 2})

Next Step Prepare to Evaluate

∴

T g = (\frac{2}{3}) \cdot (\frac{40}{8.3145 \cdot 2})

Next Step Evaluate

∴

T g = 1.60363140056968K

LAST Step Rounding Answer

∴

T g = 1.6036K

Temperature of Gas given Kinetic Energy 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

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.

Symbol: N_moles

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Moles

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

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 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 Kinetic Energy?

Temperature of Gas given Kinetic Energy evaluator uses Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles)) to evaluate the Temperature of Gas, The Temperature of Gas given Kinetic Energy formula is defined as the two-third ratio of the kinetic energy to the product of gas constant and number of moles. Temperature of Gas is denoted by T_g symbol.

How to evaluate Temperature of Gas given Kinetic Energy using this online evaluator? To use this online evaluator for Temperature of Gas given Kinetic Energy, enter Kinetic Energy (KE) & Number of Moles (N_moles) and hit the calculate button.

FAQs on Temperature of Gas given Kinetic Energy

What is the formula to find Temperature of Gas given Kinetic Energy?

The formula of Temperature of Gas given Kinetic Energy is expressed as Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles)). Here is an example- 1.603631 = (2/3)*(40/([R]*2)).

How to calculate Temperature of Gas given Kinetic Energy?

With Kinetic Energy (KE) & Number of Moles (N_moles) we can find Temperature of Gas given Kinetic Energy using the formula - Temperature of Gas = (2/3)*(Kinetic Energy/([R]*Number of Moles)). This formula also uses Universal gas 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=((Root Mean Square Speed)^2)*Molar Mass/(3*[R])

Can the Temperature of Gas given Kinetic Energy be negative?

Yes, the Temperature of Gas given Kinetic Energy, measured in Temperature can be negative.

Which unit is used to measure Temperature of Gas given Kinetic Energy?

Temperature of Gas given Kinetic Energy 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 Kinetic Energy can be measured.

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