Final answer:
The rate of appearance of CO2 when the rate of disappearance of O2 is 0.13 M s^-1 is 0.0867 M s^-1, which is not an option provided, so the correct answer is option e) none of these.
Step-by-step explanation:
The student is asking about the rate of appearance of CO2 given the rate of disappearance of O2 during the combustion of ethylene. According to the balanced chemical equation, C2H4(g) + 3 O2(g) → 2 CO2(g) + 2 H2O(g), for every 3 moles of O2 that react, 2 moles of CO2 are produced. Given that the rate of disappearance of O2 is 0.13 M s^-1, the rate of appearance of CO2 is determined by setting up a ratio: rate of CO2 / rate of O2 = 2 moles CO2 / 3 moles O2. Therefore, the answer is (2/3) * 0.13 M s^-1 = 0.0867 M s^-1, which is not one of the options provided in the question, so the correct choice is e) none of these.