Question

In this system of two reactions, \( A \to 2B \) and \( B \to 2C \), which of the following statements is/are TRUE at steady-state?

• A. The rate of consumption of A is four times the rate of production of C
• B. The rate of consumption of B is twice the rate of production of C
• C. The rate of production of B is the same as the rate of consumption of B
• D. The rate of production of C is four times the rate of consumption of A

Hint:

In steady-state kinetics, the rates of production and consumption are balanced. In this case, the rates of B and C are directly proportional based on their stoichiometry.

Answer 1

The Correct Option is C, D

Step 1: Understanding the reactions.
In the steady state, the rates of consumption and production of each species must be balanced. The rate of production of B from A is equal to the rate of consumption of B to form C.
Step 2: Analyzing the Options.
- (A) Incorrect. The rate of consumption of A is equal to the rate of production of B, not four times the rate of production of C.
- (B) Correct. The rate of consumption of B is twice the rate of production of C since two B molecules are consumed for every C molecule produced.
- (C) Incorrect. The rate of production of B is not the same as the rate of consumption of B, as B is both produced and consumed in different reactions.
- (D) Incorrect. The rate of production of C is equal to the rate of consumption of B, not four times the rate of consumption of A.
Step 3: Conclusion.
Thus, the correct answer is (B).