Molar Mass of Gas given Root Mean Square Speed and Temperature in 2D Calculator

Molar Mass Formula:

\[ M = \frac{2 \cdot R \cdot T}{(V_{rms})^2} \]

Molar Mass of Gas:

kg/mol

Definition: This calculator determines the molar mass of a gas based on its root mean square speed and temperature.

Purpose: It helps in understanding gas properties and is useful in chemistry and physics applications.

The calculator uses the formula:

\[ M = \frac{2 \cdot R \cdot T}{(V_{rms})^2} \]

Where:

Explanation: The formula relates the kinetic energy of gas molecules to their molar mass and temperature.

Details: Knowing the molar mass helps identify unknown gases, predict gas behavior, and calculate other thermodynamic properties.

Tips: Enter the gas temperature in Kelvin and root mean square speed in m/s. Both values must be positive.

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: Why is temperature in Kelvin?
A: The Kelvin scale is an absolute temperature scale required for gas law calculations.

Q3: What's the range of typical molar masses?
A: Common gases range from about 0.002 kg/mol (H₂) to 0.044 kg/mol (CO₂).

Q4: How accurate is this calculation?
A: It's accurate for ideal gases at moderate temperatures and pressures.

Q5: Can I use this for gas mixtures?
A: This calculates the apparent molar mass for a gas mixture, not individual components.