Molar Mass of Gas given Most Probable Speed of Gas Calculator

✖The temperature of Gas A is the measure of hotness or coldness of gas A.ⓘ Temperature of Gas A [T_ga]			+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]			+10% -10%

✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass of Gas given Most Probable Speed of Gas [M_molar]

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Molar Mass of Gas given Most Probable Speed of Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Temperature of Gas A - (Measured in Kelvin) - The temperature of Gas A is the measure of hotness or coldness of gas A.
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.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas A: 45 Kelvin --> 45 Kelvin No Conversion Required
Most Probable Speed: 600 Meter per Second --> 600 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_molar = (2*[R]*T_ga)/V_p^2 --> (2*[R]*45)/600^2

Evaluating ... ...

M_molar = 0.00207861565453831

STEP 3: Convert Result to Output's Unit

0.00207861565453831 Kilogram Per Mole -->2.07861565453831 Gram Per Mole (Check conversion here)

FINAL ANSWER

2.07861565453831 ≈ 2.078616 Gram Per Mole <-- Molar Mass

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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Molar Mass of Gas given Most Probable Speed of Gas Formula

LaTeX Go

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

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 Molar Mass of Gas given Most Probable Speed of Gas?

Molar Mass of Gas given Most Probable Speed of Gas calculator uses Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2 to calculate the Molar Mass, The Molar Mass of Gas given Most Probable Speed of Gas formula is defined as the mass of one particle of that gas multiplied by Avogadro's number (6.02 x 1023). Knowing the molar mass of an element or compound can help us stoichiometrically balance a reaction equation. Molar Mass is denoted by M_molar symbol.

How to calculate Molar Mass of Gas given Most Probable Speed of Gas using this online calculator? To use this online calculator for Molar Mass of Gas given Most Probable Speed of Gas, enter Temperature of Gas A (T_ga) & Most Probable Speed (V_p) and hit the calculate button. Here is how the Molar Mass of Gas given Most Probable Speed of Gas calculation can be explained with given input values -> 2078.616 = (2*[R]*45)/600^2.

FAQ

What is Molar Mass of Gas given Most Probable Speed of Gas?

The Molar Mass of Gas given Most Probable Speed of Gas formula is defined as the mass of one particle of that gas multiplied by Avogadro's number (6.02 x 1023). Knowing the molar mass of an element or compound can help us stoichiometrically balance a reaction equation and is represented as M_molar = (2*[R]*T_ga)/V_p^2 or Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2. The temperature of Gas A is the measure of hotness or coldness of gas A & Most probable speed is the speed at the top of Maxwell-Boltzmann Distribution curve because the largest number of molecules have that speed.

How to calculate Molar Mass of Gas given Most Probable Speed of Gas?

The Molar Mass of Gas given Most Probable Speed of Gas formula is defined as the mass of one particle of that gas multiplied by Avogadro's number (6.02 x 1023). Knowing the molar mass of an element or compound can help us stoichiometrically balance a reaction equation is calculated using Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2. To calculate Molar Mass of Gas given Most Probable Speed of Gas, you need Temperature of Gas A (T_ga) & Most Probable Speed (V_p). With our tool, you need to enter the respective value for Temperature of Gas A & Most Probable Speed 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 Molar Mass?

In this formula, Molar Mass uses Temperature of Gas A & Most Probable Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2

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