If Instantaneous rate of reaction is stated as - 1 2 ~d [x] dt =- d [ y ] dt = 1 2 ~d [ z ] dt , identify the reaction.

Step-by-step solution

The instantaneous rate expression provides direct insight into the reaction stoichiometry. For a general reaction aA + bB cC + dD , the rate is defined as Rate = - 1 a d[A] dt = - 1 b d[B] dt = + 1 c d[C] dt = + 1 d d[D] dt . Given the rate expression - 1 2 d[x] dt = - d[y] dt = 1 2 d[z] dt , the stoichiometric coefficients are determined by the denominators. The negative terms indicate reactants, while the positive term indicates a product. The balanced reaction must be 2x + y 2z , which corresponds to option B .