Molar Mass of Gas given RMS Velocity 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 Root Mean Square Velocity is the measure of the average speed of particles in a gas, reflecting their kinetic energy and temperature.ⓘ Root Mean Square Velocity [V_rms]			+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 RMS Velocity of Gas [M_molar]

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Molar Mass of Gas given RMS Velocity of Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
M_molar = (3*[R]*T_ga)/V_rms^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) - 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.
Root Mean Square Velocity - (Measured in Meter per Second) - The Root Mean Square Velocity is the measure of the average speed of particles in a gas, reflecting their kinetic energy and temperature.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas A: 45 Kelvin --> 45 Kelvin No Conversion Required
Root Mean Square Velocity: 159.8786 Meter per Second --> 159.8786 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_molar = (3*[R]*T_ga)/V_rms^2 --> (3*[R]*45)/159.8786^2

Evaluating ... ...

M_molar = 0.0439124107658111

STEP 3: Convert Result to Output's Unit

0.0439124107658111 Kilogram Per Mole -->43.9124107658111 Gram Per Mole (Check conversion here)

FINAL ANSWER

43.9124107658111 ≈ 43.91241 Gram Per Mole <-- Molar Mass

(Calculation completed in 00.006 seconds)

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Osmania University (OU), Hyderabad

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Molar Mass of Gas given RMS Velocity of Gas Formula

LaTeX Go

Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
M_molar = (3*[R]*T_ga)/V_rms^2

Define RMS velocity?

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 Molar Mass of Gas given RMS Velocity of Gas?

Molar Mass of Gas given RMS Velocity of Gas calculator uses Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2 to calculate the Molar Mass, Molar Mass of Gas given RMS Velocity of Gas formula is defined as a relationship that connects the molar mass of a gas to its root mean square velocity, temperature, and the universal gas constant, providing insights into gas behavior. Molar Mass is denoted by M_molar symbol.

How to calculate Molar Mass of Gas given RMS Velocity of Gas using this online calculator? To use this online calculator for Molar Mass of Gas given RMS Velocity of Gas, enter Temperature of Gas A (T_ga) & Root Mean Square Velocity (V_rms) and hit the calculate button. Here is how the Molar Mass of Gas given RMS Velocity of Gas calculation can be explained with given input values -> 12471.69 = (3*[R]*45)/159.8786^2.

FAQ

What is Molar Mass of Gas given RMS Velocity of Gas?

Molar Mass of Gas given RMS Velocity of Gas formula is defined as a relationship that connects the molar mass of a gas to its root mean square velocity, temperature, and the universal gas constant, providing insights into gas behavior and is represented as M_molar = (3*[R]*T_ga)/V_rms^2 or Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^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 Root Mean Square Velocity is the measure of the average speed of particles in a gas, reflecting their kinetic energy and temperature.

How to calculate Molar Mass of Gas given RMS Velocity of Gas?

Molar Mass of Gas given RMS Velocity of Gas formula is defined as a relationship that connects the molar mass of a gas to its root mean square velocity, temperature, and the universal gas constant, providing insights into gas behavior is calculated using Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2. To calculate Molar Mass of Gas given RMS Velocity of Gas, you need Temperature of Gas A (T_ga) & Root Mean Square Velocity (V_rms). With our tool, you need to enter the respective value for Temperature of Gas A & Root Mean Square Velocity 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 & Root Mean Square Velocity. 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 = (2*[R]*Temperature of Gas A)/Most Probable Speed^2

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