Final answer:
By analyzing the provided data, the reaction order for reactant A is determined to be 2, and for reactant B, it is 1, for the reaction 4A(g) + 3B(g) → 2C(g).
Step-by-step explanation:
To determine the reaction order with respect to each reactant for the reaction 4A(g) + 3B(g) → 2C(g), we can analyze the given experimental data. Comparing experiments 1 and 2, where the concentration of B is constant, we notice that tripling the concentration of A increases the rate by a factor of 9 (from 5 to 45). This indicates that the reaction order for A is 2, because the rate change is proportional to the concentration change squared.
When comparing experiments 1 and 3, where the concentration of A is kept constant, doubling the concentration of B doubles the rate (from 5 to 10), suggesting that the reaction order for B is 1. Therefore, the reaction order for A is 2, and the reaction order for B is 1.