Most Probable Speed Calculator

✖The temperature of Gas A is the measure of hotness or coldness of gas A.ⓘ Temperature of Gas A [T_ga]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%

✖Most probable speed is the speed at the top of Maxwell-Boltzmann Distribution curve because the largest number of molecules have that speed.ⓘ Most Probable Speed [V_p]

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Formula

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Most Probable Speed

Formula

`"V"_{"p"} = sqrt((2*"[R]"*"T"_{"ga"})/"M"_{"molar"})`

Example

`"130.3955m/s"=sqrt((2*"[R]"*"45K")/"44.01g/mol")`

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Most Probable Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass)
V_p = sqrt((2*[R]*T_ga)/M_molar)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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

Most Probable Speed - (Measured in Meter per Second) - Most probable speed is the speed at the top of Maxwell-Boltzmann Distribution curve because the largest number of molecules have that speed.
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

V_p = sqrt((2*[R]*T_ga)/M_molar) --> sqrt((2*[R]*45)/0.04401)

Evaluating ... ...

V_p = 130.395517711186

STEP 3: Convert Result to Output's Unit

130.395517711186 Meter per Second --> No Conversion Required

FINAL ANSWER

130.395517711186 ≈ 130.3955 Meter per Second <-- Most Probable Speed

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 13 Factors of Thermodynamics Calculators

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)

RMS Speed

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

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

Specific Gas Constant

Go Specific Gas Constant = [R]/Molar Mass

Absolute Humidity

Go Absolute Humidity = Weight/Volume of Gas

Most Probable Speed Formula

Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass)
V_p = sqrt((2*[R]*T_ga)/M_molar)

What is most probable speed of gases?

The most probable speed of gas molecules described by the Maxwell-Boltzmann distribution is the speed at which distribution graph reaches its peak point.

How to Calculate Most Probable Speed?

Most Probable Speed calculator uses Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass) to calculate the Most Probable Speed, Most probable speed is the speed at the top of Maxwell-Boltzmann Distribution curve because the largest number of molecules have that speed. Most Probable Speed is denoted by V_p symbol.

How to calculate Most Probable Speed using this online calculator? To use this online calculator for Most Probable Speed, enter Temperature of Gas A (T_ga) & Molar Mass (M_molar) and hit the calculate button. Here is how the Most Probable Speed calculation can be explained with given input values -> 130.3955 = sqrt((2*[R]*45)/0.04401).

FAQ

What is Most Probable Speed?

Most probable speed is the speed at the top of Maxwell-Boltzmann Distribution curve because the largest number of molecules have that speed and is represented as V_p = sqrt((2*[R]*T_ga)/M_molar) or Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/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 Most Probable Speed?

Most probable speed is the speed at the top of Maxwell-Boltzmann Distribution curve because the largest number of molecules have that speed is calculated using Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass). To calculate Most Probable Speed, you need Temperature of Gas A (T_ga) & Molar Mass (M_molar). 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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