Final answer:
The rate constant for the first-order decomposition of hydrogen peroxide at a concentration of 0.150 M and a decomposition rate of 4.83 × 10⁻⁶ M•s⁻¹ is calculated to be 3.22 × 10⁻⁵ s⁻¹.
Step-by-step explanation:
The rate of decomposition of hydrogen peroxide, which is first-order in H2O2, can be described using the rate law equation: rate = k [H2O2], where k is the rate constant, and [H2O2] is the concentration of hydrogen peroxide. Given that the rate of decomposition is 4.83 × 10⁻⁶ M•s⁻¹ at a concentration of 0.150 M, we can calculate the rate constant k by rearranging the rate law to k = rate / [H2O2]. Plugging in the numbers, k = (4.83 × 10⁻⁶ M•s⁻¹) / (0.150 M), which equals 3.22 × 10⁻⁵ s⁻¹.