Molar Mass Formula:
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Definition: This calculator determines the molar mass of a gas based on its pressure, volume, and root mean square speed.
Purpose: It helps in understanding gas properties and behavior in physics and chemistry applications.
The calculator uses the formula:
Where:
Explanation: The formula relates the macroscopic properties of a gas (pressure and volume) to the microscopic property (molecular speed) through kinetic theory.
Details: Knowing the molar mass helps identify gases, predict their behavior under different conditions, and is fundamental in gas law 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 individual velocities of gas molecules.
Q2: What units should I use for inputs?
A: Pressure in Pascals (Pa), volume in cubic meters (m³), and speed in meters per second (m/s).
Q3: How accurate is this calculation?
A: It's accurate for ideal gases under standard conditions. Real gases may show deviations.
Q4: Can I use this for gas mixtures?
A: The result will give the average molar mass of the mixture.
Q5: What's a typical range for molar mass of gases?
A: Common gases range from 0.002 kg/mol (H₂) to about 0.044 kg/mol (CO₂).