Question

25cm^3 volume cylinder is filled with one mole of oxygen gas at room temperature 300 Kelvin. The molecular diameter of O2​ and its root mean square speed are found to be: ________

Answer 1

The root mean square speed of oxygen gas at room temperature can be calculated using the equation Urms = √(3RT/M). Substituting the given values, the root mean square speed is approximately 482.60 m/s.

Step-by-step explanation:

The root mean square (rms) speed of oxygen gas can be calculated using the equation:

Urms = √(3RT/M)

Where:

• Urms is the root mean square speed
• R is the ideal gas constant (8.31 J/(mol·K))
• T is the temperature in Kelvin (300 K in this case)
• M is the molar mass of oxygen (32.0 g/mol)

Substituting the values into the equation, we get:

Urms = √(3 * 8.31 * 300 / 32.0) ≈ 482.60 m/s

Therefore, the root mean square speed of the oxygen gas is approximately 482.60 m/s.