A reaction in which A, B, and C react to form products is zeroorder in A, one-ha

Question

A reaction in which A, B, and C react to form products is zeroorder in A, one-half order in B, and second order in C

Rate = k[B]1/2[C]2

By what factordoes the reaction rate change if [A] is doubled (and the otherreactant concentrations are held constant)?

By what factordoes the reaction rate change if [B] is doubled (and the otherreactant concentrations are held constant)?

By what factordoes the reaction rate change if [C] is doubled (and the otherreactant concentrations are held constant)?

By what factordoes the reaction rate change if the concentrations of all threereactants are doubled?

Explanation / Answer

Rate = k[B]1/2 [C]2 By what factor does the reaction rate change if [A] is doubled (andthe other reactant concentrations are held constant)? Since rate of the reaction does not depend on the concentration ofthe A,it will not effect the rate of the reaction.
By what factor does the reaction rate change if [B] is doubled (andthe other reactant concentrations are held constant)? Rate = k[B]1/2 [C]2 rate of the reaction after [B] is doubled is rate = k [2B ]1/2 [C]2                                                                     = 2 { k[B]1/2 [C]2 } So, the rate is 2 times the initial rate. By what factor does the reaction rate change if [C] is doubled (andthe other reactant concentrations are held constant)? rate of the reaction after [C] is doubled is rate = k [B ]1/2 [2C] 2                                                                     = 4{ k[B]1/2 [C]2 } So, the rate is 4 times the initial rate. By what factor does the reaction rate change if the concentrationsof all three reactants are doubled? rate of the reaction after all the reactants are doubled israte = k [2B ] 1/2 [2C] 2                                                                                          = 42 { k[B]1/2 [C]2 }                                                                                          = 5.656 { k[B]1/2 [C]2 } So, the rate is 5.656 times the initial rate. By what factor does the reaction rate change if [A] is doubled (andthe other reactant concentrations are held constant)? Since rate of the reaction does not depend on the concentration ofthe A,it will not effect the rate of the reaction.
By what factor does the reaction rate change if [B] is doubled (andthe other reactant concentrations are held constant)? Rate = k[B]1/2 [C]2 rate of the reaction after [B] is doubled is rate = k [2B ]1/2 [C]2                                                                     = 2 { k[B]1/2 [C]2 } So, the rate is 2 times the initial rate. By what factor does the reaction rate change if [C] is doubled (andthe other reactant concentrations are held constant)? rate of the reaction after [C] is doubled is rate = k [B ]1/2 [2C] 2                                                                     = 4{ k[B]1/2 [C]2 } So, the rate is 4 times the initial rate. rate of the reaction after [C] is doubled is rate = k [B ]1/2 [2C] 2                                                                     = 4{ k[B]1/2 [C]2 } So, the rate is 4 times the initial rate. By what factor does the reaction rate change if the concentrationsof all three reactants are doubled? rate of the reaction after all the reactants are doubled israte = k [2B ] 1/2 [2C] 2                                                                                          = 42 { k[B]1/2 [C]2 }                                                                                          = 5.656 { k[B]1/2 [C]2 } So, the rate is 5.656 times the initial rate. rate of the reaction after all the reactants are doubled israte = k [2B ] 1/2 [2C] 2                                                                                          = 42 { k[B]1/2 [C]2 }                                                                                          = 5.656 { k[B]1/2 [C]2 } So, the rate is 5.656 times the initial rate.

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