A one-litre vessel containing 0.015 moles of `N_(2(g))` and 0.02 moles of `PCl_(5(g))` are heated at `227^@C` , where the total pressure was found to be 1.843 atm. Assuming nitrogen to be inert, determine `K_p` for the following decomposition reaction:
`PCl_(5(g)) hArr PCl_(3(g)) + Cl_(2(g))`
(Put your answer by multiplying with 100)

Answer

41

Explanation

`n_("Total") = (PV)/(RT)= (1.843 xx1)/(0.082xx500)= 0.045`
`n_(N_2)=0.015implies n(PCl_(5)+PCl_(3)+Cl_2)`
= 0.03
`underset(0.02-x)(PCl_(5(g)))hArrunderset(x)(PCl_(3(g)))+underset(x)(Cl_(2(g)))`
`0.02 + x = 0.03 :. x = 0.01` mole
`X_(PCl_3)=(0.01)/(0.045_((n_("Total"))))=2/9 =X_(Cl_2)`