A one-litre vessel containing 0.015 moles of N 2( g ) and 0.02 moles of PCI 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 ) leftharpoons PCl 3( g )+ Cl 2( g ) (Put your answer by multiplying with 100 )

Question

A one-litre vessel containing 0.015 moles of N 2( g ) and 0.02 moles of PCI 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 ) leftharpoons PCl 3( g )+ Cl 2( g ) (Put your answer by multiplying with 100 ) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

n text Total =( PV / RT )=(1.843 × 1/0.082 × 500)=0.045 n N 2=0.015 ⇒ n ( PCl 5+ PCl 3+ Cl 2)=0.03 beginarrayccc PCl 5( g ) leftharpoons PCl 3( g ) + Cl 2( g ) 0 ⋅ 02- x x x endarray 0.02+x=0.03 ∴ x=0.01 mole X PCl 3=(0.01/0.045( n text Total ))=(2/9)= X Cl 2

nTotal ​=RTPV​=0.082×5001.843×1​=0.045 nN2​​=0.015⇒n(PCl5​+PCl3​+Cl2​)=0.03 PCl5(g)​0⋅02−x​⇌PCl3(g)​x​+Cl2(g)​x​ 0.02+x=0.03∴x=0.01 mole XPCl3​​=0.045(nTotal ​)0.01​=92​=XCl2​​