Final answer:
The rate of decomposition when the concentration of NOCl is 0.20 M is 3.2×10−9mol L−1h−1.
Step-by-step explanation:
The rate of decomposition when the concentration of NOCl is 0.20 M can be determined using the rate law equation. According to the given information, the rate law for the decomposition of NOCl is rate = k[NOCl]², where k is the rate constant. Therefore, the rate of decomposition can be calculated using the given rate constant and the concentration of NOCl:
rate = k[NOCl]² = (8.0 × 10-8 L/mol/h)(0.20 M)2 = 3.2 × 10-9mol L-1h-1
Therefore, the rate of decomposition when the concentration of NOCl is 0.20 M is 3.2×10−9mol L−1h−1 (Option a).