Question

For a reaction of the type \(aA + bB \rightarrow\) Products, the \(-d[A]/dt\) is equal to

• A. \(-d[B]/dt\)
• B. \(-(1/b)d[B]/dt\)
• C. \(-(a/b)d[B]/dt\)
• D. \(-(b/a)d[B]/dt\)

Hint:

Rate is equal for all species divided by stoichiometric coefficients.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Rate = \(-\frac{1}{a}\frac{d[A]}{dt} = -\frac{1}{b}\frac{d[B]}{dt}\).
Step 2: Detailed Explanation:
\(-\frac{1}{a}\frac{d[A]}{dt} = -\frac{1}{b}\frac{d[B]}{dt}\)
Multiply by \(a\): \(-\frac{d[A]}{dt} = -\frac{a}{b}\frac{d[B]}{dt}\)
Step 3: Final Answer:
\(-\frac{d[A]}{dt} = -\frac{a}{b}\frac{d[B]}{dt}\).