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If helium and methane are allowed to diffuse out of the container under the similar conditions of temperature and pressure, then the ratio of rate of diffusion of helium to methane is .
  • a)
    1.0
  • b)
    0.5
  • c)
    4.0
  • d)
    2.0
Correct answer is option 'D'. Can you explain this answer?
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Diffusion is the process of movement of particles from a region of higher concentration to a region of lower concentration. The rate of diffusion is dependent on various factors such as temperature, pressure, and molecular weight of the particles.

Ratio of rate of diffusion of helium to methane

The rate of diffusion of a gas is given by Graham's law of diffusion which states that the rate of diffusion of a gas is inversely proportional to the square root of its molecular weight.

Mathematically,

Rate of diffusion ∝ 1/ √(Molecular weight)

where molecular weight is the mass of one molecule of the gas.

Therefore, the ratio of the rate of diffusion of two gases is given by

Ratio = (Rate of diffusion of gas A) / (Rate of diffusion of gas B)
= (√Molecular weight of gas B) / (√Molecular weight of gas A)

In this case, the gases are helium (He) and methane (CH4).

The molecular weight of He is 4 and the molecular weight of CH4 is 16. Therefore,

Ratio = (√16) / (√4)
= 4 / 2
= 2

Hence, the ratio of the rate of diffusion of helium to methane is 2:1 or 2.0.

Therefore, option D is the correct answer.
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If helium and methane are allowed to diffuse out of the container under the similar conditions of temperature and pressure, then the ratio of rate of diffusion of helium to methane is .a)1.0b)0.5c)4.0d)2.0Correct answer is option 'D'. Can you explain this answer?
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