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At room temperature, ammonia gas at 1 at...

At room temperature, ammonia gas at 1 atm pressure and HCl gas at pressure P atm are allowed to effuse through idential pin holes from opposite ends of a glass tube of 1 meter length and of uniform area of cross-section. `NH_(4)Cl` is first formed at a distance of 60 cm from the end through which HCl gas was sent in. Calculate the value of P.

Text Solution

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Since pressure of gases are different, and the temperature is constant, the rate of diffusion of gases is directly proportional to their pressure.
`(r_(1))/(r_(2))=(p_(1))/(p_(2))=sqrt((M_(1))/(M_(2)))`
For ammonia : `p_(1)=1` atm
`M_(1)=17`
For hydrogen chloride : `p_(2)=P`
`M_(2)=36.5`
`r_(1)=(40)/(t), r_(2)=(60)/(t)`
`((40)/(t))/((60)/(t))=(1)/(P)sqrt((36.5)/(17))`
`P=(60)/(40)sqrt((36.5)/(17))`
`=2.198atm`
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