Use the following data to determine the rate law for the reactionbetween nitroge

Question

Use the following data to determine the rate law for the reactionbetween nitrogen oxide and chlorine to form nitrosyl chloride.

Order with respect to [NO] = 2

Order with respect to [Cl2] = 1

Value of k =

Units of k = M^(-2)/sM^(-1)*s^(-1)M/sM^(-1)*s^(-2)M^2/s

Rate = M/s

[NO]initial [Cl2]initial Intial Rate of Reaction (M/s) 0.10 0.10 0.117 0.20 0.10 0.468 0.30 0.10 1.054 0.30 0.20 2.107 0.30 0.30 3.161 Use the following data to determine the rate law for the reactionbetween nitrogen oxide and chlorine to form nitrosyl chloride. [NO]initial [Cl2]initial Intial Rate of Reaction (M/s) 0.10 0.10 0.117 0.20 0.10 0.468 0.30 0.10 1.054 0.30 0.20 2.107 0.30 0.30 3.161 Order with respect to [NO] = 2 Order with respect to [Cl2] = 1 Value of k = Units of k = What is the initial instantaneous rate of the reaction when theinitial NO and Cl2 concentrations are both 0.58M. Rate = M/s

Explanation / Answer

        2NO(g)   + Cl2(g) 2NOCl(g)         let the ratelaw be , rate = k[NO]m[Cl2]n          1.      0.117 M/s   =k [0.10M]m [0.10M]n    ----------------- 1         2.        0.468 M/s   = k [0.20M]m[0.1M]n      --------------- 2          dividing the equation 1 by equation 2                    0.25 = ( 0.1 / 0.2)m                              = (0.5)m                m =2           order with respect to NO = 2             orderwith respect to Cl2 = 1              rate = k[NO]2 [Cl2]            from the experiment 1 ,   0.117 M/s   = k[0.1M]2 [0.1M]                             k = 117 M-2s-1           when [NO] = [Cl2] = 0.58 M             rate = 117 M-2 s-1 * (0.58 M)2(0.58M)                    = 22.8 M /s                                                               = (0.5)m                m =2           order with respect to NO = 2             orderwith respect to Cl2 = 1              rate = k[NO]2 [Cl2]            from the experiment 1 ,   0.117 M/s   = k[0.1M]2 [0.1M]                             k = 117 M-2s-1           when [NO] = [Cl2] = 0.58 M             rate = 117 M-2 s-1 * (0.58 M)2(0.58M)                    = 22.8 M /s                                                                      

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