Temperature of Gas given RMS Velocity of Gas Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R])
Tg = Vrms^2*Mmolar/(3*[R])
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Root Mean Square Velocity - (Measured in Meter per Second) - 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.
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
Root Mean Square Velocity: 300 Meter per Second --> 300 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
Tg = Vrms^2*Mmolar/(3*[R]) --> 300^2*0.04401/(3*[R])
Evaluating ... ...
Tg = 158.795590362911
STEP 3: Convert Result to Output's Unit
158.795590362911 Kelvin --> No Conversion Required
FINAL ANSWER
158.795590362911 158.7956 Kelvin <-- Temperature of Gas
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

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 RMS Velocity of Gas Formula

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

What is the use of rms speed?

The root-mean-square speed takes into account both molecular weight and temperature, two factors that directly affect the kinetic energy of a material.By squaring the velocities and taking the square root, we overcome the “directional” component of velocity and simultaneously acquire the particles’ average velocity. Since the value excludes the particles’ direction, we now refer to the value as the average speed. The root-mean-square speed is the measure of the speed of particles in a gas, defined as the square root of the average velocity-squared of the molecules in a gas.

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

Temperature of Gas given RMS Velocity of Gas calculator uses Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R]) to calculate 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 Tg symbol.

How to calculate Temperature of Gas given RMS Velocity of Gas using this online calculator? To use this online calculator for Temperature of Gas given RMS Velocity of Gas, enter Root Mean Square Velocity (Vrms) & Molar Mass (Mmolar) and hit the calculate button. Here is how the Temperature of Gas given RMS Velocity of Gas calculation can be explained with given input values -> 158.7956 = 300^2*0.04401/(3*[R]).

FAQ

What is Temperature of Gas given RMS Velocity of Gas?
The Temperature of Gas given RMS Velocity of Gas formula is a measure of the average translational kinetic energy of the molecules and is represented as Tg = Vrms^2*Mmolar/(3*[R]) or Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R]). 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 & Molar Mass is the mass of a given substance divided by the amount of substance.
How to calculate Temperature of Gas given RMS Velocity of Gas?
The Temperature of Gas given RMS Velocity of Gas formula is a measure of the average translational kinetic energy of the molecules is calculated using Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R]). To calculate Temperature of Gas given RMS Velocity of Gas, you need Root Mean Square Velocity (Vrms) & Molar Mass (Mmolar). With our tool, you need to enter the respective value for Root Mean Square Velocity & 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 Root Mean Square Velocity & Molar Mass. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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])
  • Temperature of Gas = 2*Equipartition Energy/(Degree of Freedom*[BoltZ])
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!