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the rate of rxn is first order with respect to M and second order with respect to N
the rate of the rxn is
R = k [ M] ¹ [N ] ²
now the concentration of M is halfed and N is doubled
R ' = k [ M/2] ¹ [2N ] ²
R '= k [ M/2] ¹ [4N ] ²
R ' = k 4/2[ M] ¹ [N ] ²
R '=k 2 [ M] ¹ [N ] ²
R ' = 2 R
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