If f₁, f₂ and f₃ are the fractions of oxygen molecules at 27°C having speeds 100ms^–1, 200ms^–1 and 300ms^–1, respectively, then

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f₁ > f₂ > f₃

f₁ > f₃ > f₂

f₂ > f₁ > f₃

f₁ < f₂ < f₃

answer is B.

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Detailed Solution

The order of the fractions of oxygen molecules at 27°C having speeds 100m/s, 200m/s, and 300m/s is: f₁ < f₂ < f₃
This means that the fraction of molecules with a speed of 100m/s is the smallest, followed by the fraction with a speed of 200m/s, and the largest fraction of molecules has a speed of 300m/s.
This is because the distribution of molecular speeds in a gas is described by the Maxwell-Boltzmann distribution, which shows that the fraction of molecules with higher speeds increases as the temperature of the gas increases.
At a constant temperature of 27°C, the molecules with a speed of 300m/s have higher kinetic energy and are therefore more likely to be present in the gas compared to the molecules with lower speeds.

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