The relationship between the velocity (U) of gas molecules and their relative molecular mass (M) is shown by the equation

a

U = (kM)\(\frac{1}{2}\)

b

U = (kM)2

c

U = \(\sqrt{\frac{k}{m}}\)

d

U = \(\frac{k}{m}\)

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Correct Option
c

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Discussions (8)

Damtexjay14
7 years ago

Pls review the question.i think the ans is D.
Velocity of a gas can also be seen as the rate of diffusion of a gas that is the speed in which the gas diffuses.and rate of diffusion of a gas is inversely proportional to the square root of the molecular mass of the gas i.e r~1/√m removing the prpportionality sign we have
R= k/√m or R =(k/m)½ which is opt D.
Note: Rate of diffusion(R) of gas is the same thing with velocity of the gas(U)

Medic_Triton
4 years ago

The answer is wrong ❌
The rate or speed should be inversely proportional to the density/RMM of that substance (from Graham's law of diffusion)
thus

r = k/√m ... but √m = m^1/2
thus;

r = k.m^-1/2

A is closer to the answer ✔️

MaraeX
9 years ago

please can anybody help me out in eplaining why they choose that answer?

Nelsonsaibu
7 years ago

I got similar answer but was failed

odewenusofiyyah
2 years ago

Yu

Minenoch
1 year ago

Explanation please

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