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In a classroom, there are 13 rows of stu...

In a classroom, there are 13 rows of students. A teacher releases laughing gas `(N_(2)O)` from the front and tear gas (molar mass 176) from the rear of the classroom simultaneously. Students of which row from the front will have a tendency to weep and smile simultaneously?

Text Solution

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The correct Answer is:
`9` th row
Molar mass of `C_(6)H_(11)Obr = 6 xx 12 + 1 xx 11 + 16 + 80 = 179 g"mol"^(-1)`
Molar mass of `N_(2)O = 2 xx 14 + 16 = 44 g "mol"^(-1)`
By applying Graham's Law of duffsion,
`(rN_(2)O)/(rC_(6)H_(11)OBr) = sqrt((M_(C_(6)Hl_(11)OBr))/(M_(N_(2)O)))=sqrt((179)/(44))`
Let x be the row at which the student start smetting both the gaseous simultaneously.
`(x)/(13-x) = sqrt((179)/(44)) = 2.0169` or `x = 8.691 ~~ 9`.
This means that at the 9th row, the student will start smelling both the gases.
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