Average Speed of Gases Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))
Vavg = sqrt((8*[R]*Tga)/(pi*Mmolar))
This formula uses 2 Constants, 1 Functions, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
Temperature of Gas A - (Measured in Kelvin) - The temperature of Gas A is the measure of hotness or coldness of gas A.
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
Temperature of Gas A: 45 Kelvin --> 45 Kelvin 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
Vavg = sqrt((8*[R]*Tga)/(pi*Mmolar)) --> sqrt((8*[R]*45)/(pi*0.04401))
Evaluating ... ...
Vavg = 147.135585667936
STEP 3: Convert Result to Output's Unit
147.135585667936 Meter per Second --> No Conversion Required
FINAL ANSWER
147.135585667936 147.1356 Meter per Second <-- Average Speed of Gas
(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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15 Basics of Thermodynamics Calculators

Density of Two Liquids
Go Density of Two Liquids = (Mass of Liquid A+Mass of Liquid B)/(Mass of Liquid A/Density of Liquid A+Mass of Liquid B/Density of Liquid B)
Van der Waals Equation
Go Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2
Average Speed of Gases
Go Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))
Molar Mass of Gas given Average Speed of Gas
Go Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
Most Probable Speed
Go Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass)
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Change in Momentum
Go Change in Momentum = Mass of Body*(Initial Velocity at Point 2-Initial Velocity at Point 1)
Input Power to Turbine or Power given to Turbine
Go Power = Density*Acceleration due to Gravity*Discharge*Head
Degree of Freedom given Equipartition Energy
Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)
Molar Mass of Gas given RMS Velocity of Gas
Go Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
Molar Mass of Gas given Most Probable Speed of Gas
Go Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2
Refrigerator Work
Go Refrigerator Work = Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir
Stefan Boltzmann Law
Go Black-Body Radiant Emittance = [Stefan-BoltZ]*Temperature^(4)
Specific Gas Constant
Go Specific Gas Constant = [R]/Molar Mass
Absolute Humidity
Go Absolute Humidity = Weight/Volume of Gas

Average Speed of Gases Formula

Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))
Vavg = sqrt((8*[R]*Tga)/(pi*Mmolar))

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 Average Speed of Gases?

Average Speed of Gases calculator uses Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)) to calculate the Average Speed of Gas, Average speed of gases is 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 is denoted by Vavg symbol.

How to calculate Average Speed of Gases using this online calculator? To use this online calculator for Average Speed of Gases, enter Temperature of Gas A (Tga) & Molar Mass (Mmolar) and hit the calculate button. Here is how the Average Speed of Gases calculation can be explained with given input values -> 147.1356 = sqrt((8*[R]*45)/(pi*0.04401)).

FAQ

What is Average Speed of Gases?
Average speed of gases is a collection of gaseous particles at a given temperature.Average velocities of gases are often expressed as root-mean-square averages and is represented as Vavg = sqrt((8*[R]*Tga)/(pi*Mmolar)) or Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)). The temperature of Gas A is the measure of hotness or coldness of gas A & Molar Mass is the mass of a given substance divided by the amount of substance.
How to calculate Average Speed of Gases?
Average speed of gases is a collection of gaseous particles at a given temperature.Average velocities of gases are often expressed as root-mean-square averages is calculated using Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)). To calculate Average Speed of Gases, you need Temperature of Gas A (Tga) & Molar Mass (Mmolar). With our tool, you need to enter the respective value for Temperature of Gas A & Molar Mass and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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