The RMS speed of a sample of ozone is 'v' m/s at 27°C. When the temperature is increased to 327°C, all the ozone molecules are dissociated into oxygen molecules. What is the RMS speed of new gas sampl

Question

The RMS speed of a sample of ozone is 'v' m/s at 27°C. When the temperature is increased to 327°C, all the ozone molecules are dissociated into oxygen molecules. What is the RMS speed of new gas sample?

Prashant Kotian · Accepted Answer

Correct answer: D. ozone (m1 = 48) at t1 = 300 k has rms speed v = √(3r × 300 / 48). oxygen molecules (m2 = 32) at t2 = 600 k have rms speed u2 = √(3r × 600 / 32). ratio: u2 / v = √(600 / 300 × 48 / 32) = √(2 × 1.5) = √3. thus, u2 = √3 v.

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