Molar Mass of Gas given Average Speed of Gas Calculator

✖The Temperature of Gas A is a measure of the average kinetic energy of the gas particles, influencing their behavior and interactions in thermodynamic processes.ⓘ Temperature of Gas A [T_ga]			+10% -10%
✖The Average Speed of Gas is the typical velocity at which gas molecules move, influencing various thermodynamic properties and behaviors in different conditions.ⓘ Average Speed of Gas [V_avg]			+10% -10%

✖The Molar Mass is the mass of one mole of a substance, reflecting the amount of matter in a given volume and essential for understanding chemical reactions.ⓘ Molar Mass of Gas given Average Speed of Gas [M_molar]

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Molar Mass of Gas given Average Speed of Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
M_molar = (8*[R]*T_ga)/(pi*V_avg^2)
This formula uses 2 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Molar Mass - (Measured in Kilogram Per Mole) - The Molar Mass is the mass of one mole of a substance, reflecting the amount of matter in a given volume and essential for understanding chemical reactions.
Temperature of Gas A - (Measured in Kelvin) - The Temperature of Gas A is a measure of the average kinetic energy of the gas particles, influencing their behavior and interactions in thermodynamic processes.
Average Speed of Gas - (Measured in Meter per Second) - The Average Speed of Gas is the typical velocity at which gas molecules move, influencing various thermodynamic properties and behaviors in different conditions.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas A: 45 Kelvin --> 45 Kelvin No Conversion Required
Average Speed of Gas: 147.1356 Meter per Second --> 147.1356 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_molar = (8*[R]*T_ga)/(pi*V_avg^2) --> (8*[R]*45)/(pi*147.1356^2)

Evaluating ... ...

M_molar = 0.0440099914262204

STEP 3: Convert Result to Output's Unit

0.0440099914262204 Kilogram Per Mole -->44.0099914262204 Gram Per Mole (Check conversion here)

FINAL ANSWER

44.0099914262204 ≈ 44.00999 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 Average Speed of Gas Formula

LaTeX Go

Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
M_molar = (8*[R]*T_ga)/(pi*V_avg^2)

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 Molar Mass of Gas given Average Speed of Gas?

Molar Mass of Gas given Average Speed of Gas calculator uses Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2) to calculate the Molar Mass, Molar Mass of Gas given Average Speed of Gas formula is defined as a relationship that connects the molar mass of a gas to its average speed, temperature, and the ideal gas constant, illustrating the behavior of gases in thermodynamic contexts. Molar Mass is denoted by M_molar symbol.

How to calculate Molar Mass of Gas given Average Speed of Gas using this online calculator? To use this online calculator for Molar Mass of Gas given Average Speed of Gas, enter Temperature of Gas A (T_ga) & Average Speed of Gas (V_avg) and hit the calculate button. Here is how the Molar Mass of Gas given Average Speed of Gas calculation can be explained with given input values -> 3811.069 = (8*[R]*45)/(pi*147.1356^2).

FAQ

What is Molar Mass of Gas given Average Speed of Gas?

Molar Mass of Gas given Average Speed of Gas formula is defined as a relationship that connects the molar mass of a gas to its average speed, temperature, and the ideal gas constant, illustrating the behavior of gases in thermodynamic contexts and is represented as M_molar = (8*[R]*T_ga)/(pi*V_avg^2) or Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2). The Temperature of Gas A is a measure of the average kinetic energy of the gas particles, influencing their behavior and interactions in thermodynamic processes & The Average Speed of Gas is the typical velocity at which gas molecules move, influencing various thermodynamic properties and behaviors in different conditions.

How to calculate Molar Mass of Gas given Average Speed of Gas?

Molar Mass of Gas given Average Speed of Gas formula is defined as a relationship that connects the molar mass of a gas to its average speed, temperature, and the ideal gas constant, illustrating the behavior of gases in thermodynamic contexts is calculated using Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2). To calculate Molar Mass of Gas given Average Speed of Gas, you need Temperature of Gas A (T_ga) & Average Speed of Gas (V_avg). With our tool, you need to enter the respective value for Temperature of Gas A & Average Speed of Gas 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 & Average Speed of Gas. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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