What formula can be used to calculate the average speed of oxygen gas at a temperature of 300 K with a molar mass of 32 g/mol?
The average speed of oxygen gas at a temperature of 300 K is approximately 484.47 m/s.
Calculation of Average Speed:
The average speed of a gas particle can be calculated using the root mean square (RMS) speed formula:
RMS speed = √(3RT/M)
Where:
- R is the gas constant,
- T is the temperature in Kelvin, and
- M is the molar mass of the gas.
In the case of oxygen gas:
- Molar mass of oxygen gas (O2) = 32 g/mol
- Temperature (T) = 300 K
Plugging in these values into the formula, we get:
RMS speed = √(3 * 8.314 J/mol·K * 300 K / 32 g/mol)
Simplifying the equation gives us:
RMS speed ≈ 484.47 m/s
Therefore, the average speed of oxygen gas at a temperature of 300 K is approximately 484.47 m/s.