Question

The rate of diffusion of a gas is proportional to:

a)
$\frac{p}{ \sqrt{d} }$
b)
$\frac{p}{d}$
c)
$\sqrt{ \frac{p}{d} }$
d)
$\frac{ \sqrt{p} }{d}$





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Answer 1

Answer:

a is the right answer

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Answer 2

ANSWER:

the rate of diffusion of gas is proportional to $\frac{p}{ \sqrt{d} }$

KEYS:

• p is the pressure of gas
• d is the vapour density
• M is the molecular mass

GRAHAMS LAW OF DIFFUSION:

:

• the rate of diffusion of gases is explained by Graham's law diffusion

• the law states that rate of diffusion is inversely proportional to the square root of molecular mass of gas

RESULTS :

• molecular mass is directly proportional to the vapour density

so rate of diffusion is inversely proportional to square root of vapour density.

ideal gas equation: PV= nRT

where,

• P...... pressure of gas
• V... volume of gas
• n.... number of moles
• R..... gas constant
• T .... temperature

we know that n= m/ M

where,

• m..... given mass
• M... molecular mass

combining the above two equations,

PV=(m/M)RT

from this equation it is clear that pressure is inversely proportional to molecular mass.

so we conclude that rate of diffusion is directly proportional to pressure of gas

so option a is right