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A given volume of methane diffuses in 20 seconds. How lon...

A given volume of methane diffuses in 20 seconds. How long will it take the same volume of sulphur (IV) oxide to diffuse under the same conditions? [CH4 = 16; SO2 = 64]

A.

5 seconds

B.

20 seconds

C.

40 seconds

D.

60 seconds

E.

80 seconds

View answer & explanation

Correct answer is C

Applying the Graham's law defination; i.e,

$\frac{R(SO_2)}{R(CH_4)} = \sqrt{\frac{M(CH_4)}{M(SO_2)}} = \frac{t(CH_4)}{t(SO_2)}$

Where t(SO $_2$ ) = ?, M(SO $_2$ ) = 64

t(Ch $_4$ ) = 20 sec, M(Ch $_4$ ) = 16

therefore, $\frac{t(SO_2)}{20}$ = $\sqrt{\frac{64}{16}}$

$\frac{t(SO_2)}{20}$ = $\frac{8}{4}$

t(SO $_2$ ) = 8 x $\frac{20}{4}$

= 40 sec.

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