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A teacher enters a classroom from front ...

A teacher enters a classroom from front door while a student from back door. There are 13 equidistant rows of benches in the classroom. The teacher releases `N_(2)O`, the laughing gas, from the first bench while the student releases the weeping gas `(C_(6)H_(11)OBr)` from the last bench. At which row will the students starts laughing and weeping simultaneously?

A

`9^(th)` row

B

`12^(th)` row

C

`7^(th)` row

D

`10^(th)` row

Text Solution

Verified by Experts

The correct Answer is:
A
`(r_("gas"))/(r_(N_(2)O)) = sqrt((M_(N_(2)O))/(M_("gas")))` (assume m in `g p_(N_(2)O) = P_("gas")`)
`rArr (Ax//t)/(A (1-x)//t) = sqrt((44)/(176) = (1)/(2) rArr (x)/(1-x) = (1)/(2)`
`rArr 2x =1 -x rArr 3x = 1 = 13`
`x = (13)/(3) = 4.33 rArr 1-x = 13 - 4.33 = 8.66 rArr 9^(th)` row from front.
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