Question

Experiments were performed for the reaction: D + 2 G → L. Use the data to determine the orders of each of the reactants.

Experiment initial conc of D initial conc of G initial rate
1 0.025 3.50 0.00480
2 0.050 3.50 0.0192
3 1.50 0.020 0.0986
4 1.50 0.080 0.394
Based on these data the order with respect to the concentration of D is and the order with respect to the concentration of G i

Answer 1

The order of the reaction with respect to D is 2, and the order with respect to G is 1.

Step-by-step explanation:

To determine the order of a reaction with respect to each reactant, we look at how changing the concentration of a reactant changes the rate of the reaction.

Looking at the initial concentrations and rates for D in experiments 1 and 2, when the concentration of D is doubled (from 0.025 to 0.050), the rate of reaction quadruples (from 0.00480 to 0.0192). This indicates that the order of the reaction with respect to D is 2, because the rate of reaction changes by the square of the change in concentration.

Next, we look at the initial concentrations and rates for G in experiments 3 and 4. In these experiments, when the concentration of G is quadrupled (from 0.020 to 0.080), the rate of the reaction also quadruples (from 0.0986 to 0.394). This indicates that the order of the reaction with respect to G is 1, because the rate of reaction changes directly with the change in concentration.

So, the order of the reaction with respect to D is 2, and the order with respect to G is 1.