Question

The rate of the reaction, 2A + B given by the rate expression, rate = k[A]^1.5[B]^0.5. If [A] is 2 molar and [B] is 100 molar, then the order of reaction will be-------- options: (1) 2 (3) 1.5 (2) 0.5 (4) 1.0

The correct option is 1.5 but how?​

Answer 1

The order of the reaction can be determined by the exponents in the rate expression. In this case, the order of reaction is 2. The correct answer is option: (1) 2

Step-by-step explanation:

• The rate of a reaction can be determined by the rate expression and the values of the concentrations of the reactants. In this case, the rate expression is given as: rate = k[A]^1.5[B]^0.5.
• The order of the reaction can be determined by looking at the exponents of the concentration terms in the rate expression.
• Since the rate expression has an exponent of 1.5 for [A] and 0.5 for [B], the order of the reaction with respect to [A] is 1.5 and the order of the reaction with respect to [B] is 0.5.
• To find the overall order of the reaction, we add the individual orders together: 1.5 + 0.5 = 2.
• Therefore, the overall order of the reaction is 2.