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Chemistry Term 1  STPM

                  6   1  (× 10 )/K –1  2.86  1.97     1.82        9  (a)  (i)  pV = nRT  pV
                           –3
                      T                                                    ∴ For an ideal gas: —––— = 1
                     ln K           1.22     7.60     8.70                               nRT
                        c                                                               pV
                                                                           When a graph of  —––— is plotted against p, a
                      In K c                                                            nRT
                                                                           straight line parallel to the p axis will be obtained
                                                                           and it cuts the y-axis at 1.0
                      9
                                                                       (ii)  Positive deviation occurs when carbon dioxide
                      8                                                    is under high pressure. The molecules are
                                                                           pushed so close to one another that the
                      7                   4.6
                                 Gradient =                                molecules repel one another and make the gas
                                        0.64 × 10 –3
                      6                                                    less compressible.
                                       = –7187.5
                      5                                                    [NOTE: In this case, the volume decrease less
                                                                           than expected and the product of pV becomes
                      4
                                                                                             pV
                      3                                                    greater than nRT causing —––— > 1]
                                                                                             nRT
                      2
                                                                    (b)  (i)
                      1                                                     d
                      1.8  2.0   2.2  2.4   2.6  2.8                        p
                                 1  (× 10 )/K –1
                                     –3
                                 T
                        Gradient   = – 7187.5 K
                                  –∆H
                         – 7187.5   =
                                   R
                            ∆H   = +59 728 J or
                                = +59.73 kJ                                                    p
                                                                                     M
                                                                                    
                  7  (a)           2SO  + O 2   2SO 3                      Given:  d = p —––– 
                                      2
                        Initial/mol:  2  1       0                                   RT
                        Final/mol:  0.2  0.1     1.8                           d    M
                                                                                p 
                                                                           ∴   —  =  —––– 
                                         1.8                                        RT
                        Partial pressure of SO  =    × 5 = 4.29 atm
                                       3  2.1                                                  M
                                                                                              
                                                                                                  
                                         0.2                               At constant temperature,  —–––  = constant.
                                                                                               RT
                        Partial pressure of SO  =    × 5 = 0.48 atm
                                       2  2.1                                           d
                                                                           Hence, a plot of  — against  p would give a
                                                                                        p
                        Partial pressure of O  = 5 – 4.29 – 0.48 = 0.23
                                      2
                              4.29 2                                       straight line parallel to the p axis.
                        K  =         = 347.3 atm –1                                            M
                                                                                             
                         p  (0.48) (0.23)                              (ii)  Using the expression: d = p —––– 
                                2
                    (b)  (i)  Increasing temperature favours the reverse                       RT
                                                                                               M
                                                                                           
                           reaction which is endothermic. The yield of SO          0.57 = (101 × 10 ) ————––––– 
                                                                                         –3
                                                           3
                           decreases.                                                    –2  8.31 × 308
                                                                                               –1
                        (ii)  Increasing temperature increases both the      Or,   M = 1.44 × 10  kg mol
                                                                                          –1
                                                                                  = 14.4 g mol
                           forward and reverse reactions. As a result, the      The relative molecular mass of the gas = 14.4
                           rate of attainment of equilibrium increases.
                                                                  10  (a)  (i)  The magnitude of the equilibrium constant
                  8  (a)  The pressure of a gas in a mixture of gases is the   decreases when the temperature increases. This
                        pressure that will be exerted by that gas if it alone   shows that, the equilibrium  shifts  to  the left-
                        occupies the same volume at the same temperature.
                                                                           hand side when heat is supplied. Therefore,
                              p(Z)
                    (b)  K  =                                              the  reverse  reaction  is  endothermic  and  the
                                2
                         p  p(X)p (Y)                                      forward reaction is exothermic.
                              1.2                                      (ii)  Using the expression:
                    (c)  K  =                                                    K
                                                                                      ∆H
                                                                                              1
                                                                                          1
                                                                                         
                         p  (0.4)(0.9) 2                                       ln —–– = —––– —– – —– 
                                                                                   2
                           = 3.7                                                 K 1   R  T 1  T 2
                                                                                           1
                                                                                 1.6
                                                                                                 1
                                                                                      ∆H
                                                                                         
                    (d)  The volume occupied by the mixture will increase in   ln —–– = —––– ——––– – ——––– 
                                                                                       R
                        order to maintain the original pressure. This amounts    2.4  ∆H  1 000  1 300
                        to decreasing the pressure on the original equilibrium         –0.41 = —–––(2.31 × 10 )
                                                                                                –4
                                                                                      8.31
                        mixture. As a result, the equilibrium will shift to the             4   –1
                        left-hand side to increase the number of moles of gas.   ∆H = 1.48 × 10  J mol
                                                                           Or,       = –14.8 kJ mol
                                                                                              –1
                                                                                                        373
         12 Answers.indd   373                                                                          3/26/18   4:06 PM
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