Molar Mass Formula:
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Definition: This calculator determines the molar mass of a gas based on its pressure, volume, and the root mean square speed of its molecules.
Purpose: It helps in understanding gas properties and is useful in chemistry and physics for kinetic theory calculations.
The calculator uses the formula:
Where:
Explanation: The formula derives from the kinetic theory of gases, relating macroscopic properties (pressure, volume) to microscopic properties (molecular speed).
Details: Knowing a gas's molar mass helps identify the gas, predict its behavior, and perform stoichiometric calculations.
Tips: Enter the gas pressure in Pascals, volume in cubic meters, and root mean square speed in m/s. All values must be > 0.
Q1: What is root mean square speed?
A: It's the square root of the average of the squares of the speeds of all gas molecules.
Q2: What units should I use?
A: Use Pascals for pressure, cubic meters for volume, meters/second for speed, and results will be in kg/mol.
Q3: Does this work for all gases?
A: Yes, for ideal gases under the assumptions of kinetic theory.
Q4: How do I measure root mean square speed?
A: It can be calculated from temperature and molar mass, or measured experimentally.
Q5: Why is the formula proportional to pressure and volume?
A: Higher pressure or volume means more gas molecules, increasing the molar mass calculation.