Question

At 300 Kelvin the number of molecules processing most probable velocity are hundred at 400 Kelvin the number of molecules possessing most probable velocity are

Answer 1

number of molecules possessing most probable velocity are 65

explanation : from Maxwell Boltzmann's distribution,

$f(c)=4\pi c^2\left(\frac{m}{2\pi k_BT}\right)^{3/2}e^{-\frac{mc^2}{2k_BT}}$

here, f(c) is the form of function defines the distribution of the gas molecules moving at different speeds.

so, no of particle at 400K moving with most probable speed /no of particle at 300K moving with most probable speed = (300/400)^(3/2)

or, no of particle at 400K moving with most probable speed = (300/400)^(3/2) × 100 = 64.95 ≈ 65

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Answer 2

Answer:

number of molecules possessing most probable velocity are 65

explanation : from Maxwell Boltzmann's distribution,

f(c)=4\pi c^2\left(\frac{m}{2\pi k_BT}\right)^{3/2}e^{-\frac{mc^2}{2k_BT}}f(c)=4πc2(2πkBTm)3/2e−2kBTmc2

here, f(c) is the form of function defines the distribution of the gas molecules moving at different speeds.

so, no of particle at 400K moving with most probable speed /no of particle at 300K moving with most probable speed = (300/400)^(3/2)

or, no of particle at 400K moving with most probable speed = (300/400)^(3/2) × 100 = 64.95 ≈ 65

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