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Calculate the total pressure developed i...

Calculate the total pressure developed in a vessel containing a mixture of three parts `H_(2)` and one part of `N_(2)` to give a mixture containing `10%` ammonia (by moles) at equilibrium at `450^(@)C`.
`K_(p)` for `N_(2)+3H_(2)rarr 2NH_(3)` is `1.6xx10^(-4) atm` units at `450^(@)C`

Text Solution

Verified by Experts

`{:(N_(2),+,3H_(2),hArr,2NH_(3)),(1-x,,3-3x,,2x):}`
Total "moles" `=4-2x`
`[NH_(3)]=(2x)/(4-2x)=10/100,rArr x=0.2/0.1=2/11`
`p_(N_(2))=((1-x))/(4-2x)P=(0.9P)/(4), p_(H_(2))=(3-3xP)/(4-2x)=(2.7P)/(4)`
`p_(NH_(3))=(2x)/(4-2x)P=0.1 P`
`:. K_(p)=((0.1 P)^(2))/((0.9P//4)(2.7P//4)^(3))rArr P^(2)~~903`,
`rArr P=30.03 "atm"`
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