Temperature of Gas given Average Speed of Gas Calculator

✖Average Speed of Gas is the collective speed of a collection of gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages.ⓘ Average Speed of Gas [V_avg]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%

✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas given Average Speed of Gas [T_g]

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Formula

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Temperature of Gas given Average Speed of Gas

Formula

`"T"_{"g"} = ("V"_{"avg"}^2)*pi*"M"_{"molar"}/(8*"[R]")`

Example

`"519.6574K"=(("500m/s")^2)*pi*"44.01g/mol"/(8*"[R]")`

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Temperature of Gas given Average Speed of Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = (Average Speed of Gas^2)*pi*Molar Mass/(8*[R])
T_g = (V_avg^2)*pi*M_molar/(8*[R])
This formula uses 2 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Average Speed of Gas - (Measured in Meter per Second) - Average Speed of Gas is the collective speed of a collection of gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.

STEP 1: Convert Input(s) to Base Unit

Average Speed of Gas: 500 Meter per Second --> 500 Meter per Second No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = (V_avg^2)*pi*M_molar/(8*[R]) --> (500^2)*pi*0.04401/(8*[R])

Evaluating ... ...

T_g = 519.657354277683

STEP 3: Convert Result to Output's Unit

519.657354277683 Kelvin --> No Conversion Required

FINAL ANSWER

519.657354277683 ≈ 519.6574 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 11 Temperature Calculators

Temperature after given Time

Go Temperature = Surrounding Temperature+(Surrounding Temperature-Initial Temperature)*e^(-Temperature constant*Time)

Bypass Factor

Go By Pass Factor = (Intermediate Temperature-Final Temperature)/ (Intermediate Temperature-Initial Temperature)

Temperature of Gas given Average Speed of Gas

Go Temperature of Gas = (Average Speed of Gas^2)*pi*Molar Mass/(8*[R])

Equipartition Energy for Molecule having n Degrees of Freedom

Go Equipartition Energy = (Degree of Freedom*[BoltZ]*Temperature of Gas)/2

Temperature of Gas using Equipartition Energy for Molecule

Go Temperature of Gas = 2*Equipartition Energy/(Degree of Freedom*[BoltZ])

Temperature of Gas given RMS Velocity of Gas

Go Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R])

Absolute Temperature

Go Absolute Temperature = Heat from Low Temperature Reservoir/Heat from High Temperature Reservoir

Temperature of Gas given Most Probable Speed of Gas

Go Temperature of Gas = Most Probable Speed^2*Molar Mass/(2*[R])

Equipartition Energy

Go Equipartition Energy = ([BoltZ]*Temperature of Gas)/2

Reduced Temperature

Go Reduced Temperature = Temperature/Critical Temperature

Temperature of Gas given Equipartition energy

Go Temperature of Gas = Equipartition Energy*2/[BoltZ]

Temperature of Gas given Average Speed of Gas Formula

Temperature of Gas = (Average Speed of Gas^2)*pi*Molar Mass/(8*[R])
T_g = (V_avg^2)*pi*M_molar/(8*[R])

What is average speed?

The Maxwell-Boltzmann Distribution describes the average speeds of a collection gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages.

How to Calculate Temperature of Gas given Average Speed of Gas?

Temperature of Gas given Average Speed of Gas calculator uses Temperature of Gas = (Average Speed of Gas^2)*pi*Molar Mass/(8*[R]) to calculate the Temperature of Gas, The Temperature of Gas given Average Speed of Gas formula is defined as the measure of the average translational kinetic energy of the molecules. Temperature of Gas is denoted by T_g symbol.

How to calculate Temperature of Gas given Average Speed of Gas using this online calculator? To use this online calculator for Temperature of Gas given Average Speed of Gas, enter Average Speed of Gas (V_avg) & Molar Mass (M_molar) and hit the calculate button. Here is how the Temperature of Gas given Average Speed of Gas calculation can be explained with given input values -> 519.6574 = (500^2)*pi*0.04401/(8*[R]).

FAQ

What is Temperature of Gas given Average Speed of Gas?

The Temperature of Gas given Average Speed of Gas formula is defined as the measure of the average translational kinetic energy of the molecules and is represented as T_g = (V_avg^2)*pi*M_molar/(8*[R]) or Temperature of Gas = (Average Speed of Gas^2)*pi*Molar Mass/(8*[R]). Average Speed of Gas is the collective speed of a collection of gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages & Molar Mass is the mass of a given substance divided by the amount of substance.

How to calculate Temperature of Gas given Average Speed of Gas?

The Temperature of Gas given Average Speed of Gas formula is defined as the measure of the average translational kinetic energy of the molecules is calculated using Temperature of Gas = (Average Speed of Gas^2)*pi*Molar Mass/(8*[R]). To calculate Temperature of Gas given Average Speed of Gas, you need Average Speed of Gas (V_avg) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Average Speed of Gas & Molar Mass and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Temperature of Gas?

In this formula, Temperature of Gas uses Average Speed of Gas & Molar Mass. We can use 4 other way(s) to calculate the same, which is/are as follows -

Temperature of Gas = Equipartition Energy*2/[BoltZ]
Temperature of Gas = Most Probable Speed^2*Molar Mass/(2*[R])
Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R])
Temperature of Gas = 2*Equipartition Energy/(Degree of Freedom*[BoltZ])

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