In: Chemistry
at 200 oC Kc = 1.4 x 10-10 for the reaction N2O(g) + NO2(g) <-> 3NO(g). If 300 ml of NO measured at 800 torr and 25 oC is placed in a 4.00 L container. what will be the N2O and NO molar concentrations at equilibrium? What will be the total pressure of the mixture (in torr) at equilibrium at 25 oC?
14.98 Jespersen 7th Ed.
Moles of No can be calculated from ideal gas law equation from
PV= nRT, n= PV/RT, P= 800Torr= 800/760 atm =1.052 atm, V= 300ml= 300/1000L=0.3L, T= 25+273= 298K, R= 0.0821 L.atm/mole.K, n= 1.052*0.3/(0.0821*298)=0.0129 moles
Molar concentration of NO= 0.0129/4=0.003225M
The reaction is 3NOßà N2O+ NO2, Kc’= 1/KC= 1010/1.4= 7.14*109
since there is neither N2O nor NO2, the reaction begins only with the decomposition of NO.
Let x= concentration of N2O at equilibrium.
Hence at equilibrium [N2O]= [NO2]=x and [NO]= 0.003225-3x
Hence KC’ = 7.14*109 = x2/(0.003225-3x)3
When solved using excel, x= 0.0010731855
At Equilibrium [N2O]= [NO2] =0.0010731855 and [NO] =5.4435*10-6 M
Moles at equilibrium
[N2O]= 4*0.0010731855 = [N2O] = 0.00429272
[NO]= 4*5.4435*10-6 =2.1774*10-5 moles
Total moles= 2*0.00429272+2.1774*10-5 = 0.00861moles
From gas law, P= nRT/V= 0.00861*0.0821*298/4= 0.053 atm =0.053*760 torr= 40.28 torr