Q 25 equilibrium

Q25. In a 7.0 l, evacuated chamber, 0.50 mol H2 and 0.50 mol l2 react at 427 ° C.

          H2(g) + l2(g)   2HI (g). At the given temperature, Kc= 49 for the reaction.

       (i) What is the total pressure (atm) in the chamber?

           (A) 83.14                    (B) 831.4                  (C) 8.21                   (D) None

       (ii) What is the value of Kp?

            (A) 7                          (B) 49                      (C) 24.5                    (D) None

       (iii) How many moles of the iodine remain unreacted at equilibrium ?

             (A) 0.388                  (B) 0.112                 (C) 0.25                     (D) 0.125


       (iv) What is the partial pressure (atm ) of Hl in the equilibrium mixture ?

            (A) 6.385                    (B) 12.77                (C) 40.768                 (D) 646.58

           

Dear Student,

The computation are as expressed below,
Q.no:25(i) P=nRTV=(0.5+0.5)(0.0821)(427+273)7=8.21 atm(ii) Kp=Kc(RT)n Kp=Kc  {n = 2-(1+10 =0}     Kp=49(iii)   H2   +    I2         2HI         0.5        0.5              0         -x        -x            2x       0.5-x     0.5-x       2xK=[HI]2[H2][I2]49=(2x)2(0.5-x)(0.5-x)=(2x)2(0.5-x)2taking square root we get,49=(2x)2(0.5-x)27 = 2x0.5-x3.5-7x = 2x3.5=9xx = 0.39so moles of unreacted I2remained at equilibrium = 0.5-0.39=0.11 mol(iv) pH2=mol of H2Total mol×total pressure=0.11×8.211=0.9031 atm      pH2=pI2=0.9031 atm      pHI=Total pressure -(pH2+pI2) =8.21-(0.9031+0.9031)              = 6.4038 atm

Answers 
(i) Option (C) 8.21
(ii) Option (B) 49
(iii) Option (A) 0.388
(iv) Option (A) 6.385

Regards.

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