FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Temperature of Gas given RMS Velocity of Gas Formula

GoTemperature of Gas given Average Speed of Gas Formula

GoTemperature of Gas given Equipartition energy Formula

Fx Copy

LaTeX Copy

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

T g = {V rms}^{2} \cdot \frac{M molar}{3 \cdot [R]}

T_g - Temperature of Gas?V_rms - Root Mean Square Velocity?M_molar - Molar Mass?[R] - Universal gas constant?

Temperature of Gas given RMS Velocity of Gas Example

With values

With units

Only example

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

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

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

158.7956 = 300^{2} \cdot \frac{44.01}{3 \cdot 8.3145}

158.7956K = {300m/s}^{2} \cdot \frac{44.01g/mol}{3 \cdot 8.3145}

158.7956 = 300^{2} \cdot \frac{44.01}{3 \cdot 8.3145}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Thermodynamics » fx Temperature of Gas given RMS Velocity of Gas

Temperature of Gas given RMS Velocity of Gas Solution

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

FIRST Step Consider the formula

T g = {V rms}^{2} \cdot \frac{M molar}{3 \cdot [R]}

Next Step Substitute values of Variables

∴

T g = {300m/s}^{2} \cdot \frac{44.01g/mol}{3 \cdot [R]}

Next Step Substitute values of Constants

∴

T g = {300m/s}^{2} \cdot \frac{44.01g/mol}{3 \cdot 8.3145}

Next Step Convert Units

∴

T g = {300m/s}^{2} \cdot \frac{0.044kg/mol}{3 \cdot 8.3145}

Next Step Prepare to Evaluate

∴

T g = 300^{2} \cdot \frac{0.044}{3 \cdot 8.3145}

Next Step Evaluate

∴

T g = 158.795590362911K

LAST Step Rounding Answer

∴

T g = 158.7956K

Temperature of Gas given RMS Velocity of Gas 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

Root Mean Square Velocity

The Root Mean Square Velocity is the square root of the average of the square of the velocity. As such, it has units of velocity.

Symbol: V_rms

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Root Mean Square Velocity

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

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 Speed of Gas

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

Go Temperature of Gas given Equipartition energy

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

Go Temperature of Gas given Most Probable Speed of Gas

T g = {V p}^{2} \cdot \frac{M molar}{2 \cdot [R]}

Go Temperature of Gas using Equipartition Energy for Molecule

T g = 2 \cdot \frac{K}{F \cdot [BoltZ]}

Other formulas in Temperature category

Go Absolute Temperature

T abs = \frac{Q l}{Q h}

Go Reduced Temperature

T r = \frac{T}{T c}

Go Temperature after given Time

T = T s + (T s - T i) \cdot e^{- k' \cdot time}

Go Bypass Factor

BPF = \frac{T ìnt - T f}{T ìnt - T i}

How to Evaluate Temperature of Gas given RMS Velocity of Gas?

Temperature of Gas given RMS Velocity of Gas evaluator uses Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R]) to evaluate the Temperature of Gas, The Temperature of Gas given RMS Velocity of Gas formula is a measure of the average translational kinetic energy of the molecules. Temperature of Gas is denoted by T_g symbol.

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

FAQs on Temperature of Gas given RMS Velocity of Gas

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

The formula of Temperature of Gas given RMS Velocity of Gas is expressed as Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R]). Here is an example- 158.7956 = 300^2*0.04401/(3*[R]).

How to calculate Temperature of Gas given RMS Velocity of Gas?

With Root Mean Square Velocity (V_rms) & Molar Mass (M_molar) we can find Temperature of Gas given RMS Velocity of Gas using the formula - Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R]). 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=(Average Speed of Gas^2)*pi*Molar Mass/(8*[R])
Temperature of Gas=Equipartition Energy*2/[BoltZ]
Temperature of Gas=Most Probable Speed^2*Molar Mass/(2*[R])

Can the Temperature of Gas given RMS Velocity of Gas be negative?

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

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

Temperature of Gas given RMS Velocity of Gas 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 RMS Velocity of Gas can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Temperature of Gas given RMS Velocity of Gas Formula

​GoTemperature of Gas given Average Speed of Gas Formula

​GoTemperature of Gas given Equipartition energy Formula

Temperature of Gas given RMS Velocity of Gas Example

Temperature of Gas given RMS Velocity of Gas Solution

Temperature of Gas given RMS Velocity of Gas Formula Elements

Other Formulas to find Temperature of Gas

Other formulas in Temperature category

How to Evaluate Temperature of Gas given RMS Velocity of Gas?

FAQs on Temperature of Gas given RMS Velocity of Gas

Variable Name

GoTemperature of Gas given Average Speed of Gas Formula

GoTemperature of Gas given Equipartition energy Formula