Question

Calculate the rms velocity of ozone kept in a closed vessel

Answer 1

The rms velocity of ozone kept in a closed vessel is 0.3901 m/s

• Formula for calculating the rms velocity
• $V_{rms}=\sqrt{\dfrac{3RT}{M} }$
• Given,
• T=20°C=20+273=293 K
• and
• 82cm Hg
• Now,
• $V_{rms}=\sqrt{\dfrac{3 *8.314 *293}{48*10^{-3}} } \\\\V_{rms}=0.3901m/s$

Answer 2

The root mean square velocity of ozone  is 39000 cm/s

Explanation:

• The root mean square velocity is dependent on the absolute temperature of the container and the molecular mass of the gas.

• The molecular mass of ozone =$3 \times16$ = 48.

• The temperature of the gas = 20°C = 293 K.

• The RMS velocity of the gas = $\sqrt{\frac{3RT} {M}.}$

• So the value =

• $\sqrt{\frac{3\times 8.14 \times 10^7 \times 293}{48} }$

• = 39000 cm /s.

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