A gas has the density 2500g/cm³ diffuse with a rate of 30mL/min. Calculate the rate of the gas with density 3600g/cm³ in the same cylinder under same condition of temperature and pressure.
25
250
150
75
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Answer:
Rate of diffusion of hydrogen, R
1
=28.7cm
3
s
−1
Rate of diffusion of another gas, R
2
=7.2cm
3
s
−1
According to Graham’s Law of diffusion, we have:
R
2
R
1
=
M
1
M
2
where,
M
1
is the molecular mass of hydrogen =2.020g.
M
2
is the molecular mass of the unknown gas.
∴M
2
=M
1
(
R
2
R
1
)
2
=2.02(
7.2
28.7
)
2
=32.09g
32 g is the molecular mass of oxygen. Hence, the unknown gas is oxygen.
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