A chemical reaction is observed to convert Molecule A into Molecule B. The accompanying graph plots the change in concentration for both molecules against the change in time. Use this graph to determine the stoichiometry of this equation, if it is written as: A → xB[Fill in the blank]

Question

BlackTom AI · Accepted Answer

Begin by restating the given information from the graph: A is consumed over time while B is formed, and the stoichiometry is written as A → x B. 
Option a (x = 3): If x were 3, then for every 1 mole of A consumed, 3 moles of B should be produced. Checking the graph, the amount of A decreases by about 0.55 M while B increases by only about 0.28 M, which would correspond to a much larger B production than observed. Therefore, x = 3 overestimates the B formed per A consumed. 
Option b (x = 2): With x = 2, we would expect twice as much B formed per A consumed as in the actual data. The graph shows B rising roughly half as fast as A falls, not double, so this option misreads the relative stoichiometry. 
Option c (x = 1/2): Here, for each 1 A consumed, 0.5 B is produced. Translating the graph data, A decreases by about 0.55 M while B increases by about 0.28 M, and 0.28 is very close to 0.55 × 0.5, matching the observed ratio of product to reactant formation. This aligns with the idea that B is produced at about half the rate of A consumption. 
Option d (x = 1): If x were 1, A and B would be produced/consumed at the same rate. The graph shows A is consumed more rapidly than B is formed, so x = 1 would overpredict B formation relative to A consumption. 
Across all options, the key check is the proportional change: compare the decrease in A to the increase in B over the same time interval. The observed data indicate B forms roughly in a 0.5-to-1 ratio with A consumed, not 1-to-1, 2-to-1, or 3-to-1. 
In summary, the correct interpretation of the slope relationship from the graph is that B is produced at about half the amount of A consumed, which corresponds to x ≈ 1/2.

A chemical reaction is observed to convert Molecule A into Molecule B. The accompanying graph plots the change in concentration for both molecules against the change in time. Use this graph to determine the stoichiometry of this equation, if it is written as: A → xB[Fill in the blank]

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