Paragraph According to Maxwell distribution law, the probability distribution function is given as below: F(v)=4 π( M 2 π R T )^ 3 / 2 v^2 ^ -M v^2 / 2 R ~T M-molar mass of gas, v-speed, R-gas constant, T-Absolute

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JEE Advanced · Chemistry · States of Matter

Paragraph According to Maxwell distribution law, the probability...

Paragraph According to Maxwell distribution law, the probability distribution function is given as below:

\mathbf{F}(\mathrm{v})=4 \pi\left(\frac{\mathrm{M}}{2 \pi \mathbf{R T}}\right)^{3 / 2} \mathrm{v}^2 \mathrme^{-M \mathrm{v}^2 / 2 R \mathrm{~T}}

M-molar mass of gas, v-speed, R-gas constant, T-Absolute temperature Fraction of molecule in the range of

v_1

v_2=\int_{v_1}^{v_2} f(v) d v

Question Select the incorrect statement about a gas following Maxwell distribution law.

AExponential term implies that the fraction of molecules with very high speed will be very small
B $\frac{\mathrm{M}}{2 R T}$ in exponent implies that heavy molecules are unlikely to be found with very high speed
C $\mathbf{v}^2$ in pre-exponential term implies very slow molecules will be very small
D $\frac{\mathrm{M}}{2 \mathrm{RT}}$ in pre-exponential term implies that heavy molecules are unlikely to be found with very high speeds

D. $\frac{\mathrm{M}}{2 \mathrm{RT}}$ in pre-exponential term implies that heavy molecules are unlikely to be found with very high speeds

Remaining part of the function will make the overall fraction

=1