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Ch.14 - Chemical Kinetics
Chapter 14, Problem 28

For the reaction A(g) + 1/2 B(g) → 2 C(g): b. When C is increasing at a rate of 0.025 M/s, how fast is B decreasing? How fast is A decreasing? a. Determine the expression for the rate of the reaction in terms of the change in concentration of each of the reactants and products.

Verified step by step guidance
1
insert step 1> Start by writing the general rate expression for the reaction: Rate=1aΔ[A]Δt=1bΔ[B]Δt=1cΔ[C]Δt, where a,b, and c are the stoichiometric coefficients of A, B, and C respectively.
insert step 2> For the given reaction A(g)+12B(g)2C(g), identify the stoichiometric coefficients: a=1, b=12, and c=2.
insert step 3> Substitute the stoichiometric coefficients into the rate expression: Rate=11Δ[A]Δt=112Δ[B]Δt=12Δ[C]Δt.
insert step 4> Given that Δ[C]Δt=0.025 M/s, use the rate expression 12Δ[C]Δt=112Δ[B]Δt to find the rate at which B is decreasing.
insert step 5> Similarly, use the rate expression 12Δ[C]Δt=11Δ[A]Δt to find the rate at which A is decreasing.