Final answer:
To find the instantaneous rate of decomposition of acetaldehyde in a second order reaction, square the concentration and multiply it by the rate constant. The rate will be expressed in molarity per second (M/s).
Step-by-step explanation:
The question asks for the instantaneous rate of decomposition of acetaldehyde, which is a second order reaction. The rate constant provided is 4.71 × 10^-8 L mol^-1 s^-1, and the concentration of acetaldehyde is 5.55 × 10^-4 M. For a second order reaction, the rate can be found using the formula rate = k[A]^2, where k is the rate constant and [A] is the concentration of the reactant. In this case, substituting the provided values into the formula yields the rate:
rate = (4.71 × 10^-8 L mol^-1 s^-1) * (5.55 × 10^-4 M)^2
Thus, to calculate the rate, square the concentration of acetaldehyde and multiply it by the rate constant. The resulting rate will be in units of molarity per second (M/s), as that is the appropriate unit for the rate of a chemical reaction.