1.

For the reaction : 2 NH_(3) (g) rarr N_(2) (g) + 3H_(2) (g). What is the % of NH_(3) converted if the mixture diffuses twice as fast as that SO_(2) under similar conditions.

Answer»

3.125
6.25
12.5
None of these

Solution :`{:(,2NH_(3) (g),rarr,N_(2) (g),+,3H_(2) (g),),("Initially",1,,,,,),("After",1 - 2x,,x,,3x,):}`
decomposition
`(r_("mix"))/(r_(SO_(2))) = 2 = SQRT((M_(SO_(2)))/(M_("Mix")))`
`M_("mix") = (64)/(4) = 16 = M_("avg")`
`M_(avg) = (1 xx 17)/(1 + 2x) = 16`
`17 = 16 + 32 x`
1 = 32 x
`x = (1)/(32)`
`% NH_(3) = (2x)/(1) xx 100`
`= (1)/(16) xx 100 = 6.25 %`


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