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Calculate the most probable speed of an ozone molecule in the stratosphere, where the temperature is 270 k.

User Quillion
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Answer:

Step-by-step explanation:

The most probable speed of a molecule in a gas can be calculated using the Maxwell-Boltzmann distribution. The formula for the most probable speed is given by:

v_mp = (2kT/m)^(1/2)

Where v_mp is the most probable speed, k is the Boltzmann constant (1.38 x 10^-23 J/K), T is the temperature (270 K), and m is the mass of the ozone molecule (48 g/mol, or 48 x 10^-3 kg).

v_mp = (2 * 1.38 x 10^-23 * 270 / 48 x 10^-3)^(1/2)

v_mp = (2.68 x 10^-21 * 270 / 48 x 10^-3)^(1/2)

v_mp = (6.71 x 10^-20 / 48 x 10^-3)^(1/2)

v_mp = (6.71 x 10^-17)^(1/2)

v_mp = 2.59 x 10^-8 m/s

So the most probable speed of an ozone molecule in the stratosphere, where the temperature is 270 K, is approximately 2.59 x 10^-8 m/s.

User Vikram Pathania
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