For the reaction 2 A(g) + B(g) → 3 C(g), b. when A is decreasing at a rate of 0.100 M/s, how fast is B decreasing? How fast is C increasing?

검증된 단계별 안내

Identify the stoichiometric ratios from the balanced chemical equation. For every 2 moles of A consumed, 1 mole of B is consumed and 3 moles of C are produced.

Set up the rate expressions based on the stoichiometry. If the rate of disappearance of A is given as 0.100 M/s, use the stoichiometric ratios to find the rates of B and C. The rate of disappearance of B is half the rate of disappearance of A, and the rate of appearance of C is 1.5 times the rate of disappearance of A.

Calculate the rate of disappearance of B by dividing the rate of disappearance of A by 2.

Calculate the rate of appearance of C by multiplying the rate of disappearance of A by 1.5.

Summarize the findings: B is decreasing at half the rate that A is decreasing, and C is increasing at a rate 1.5 times that of A's decrease.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Stoichiometry

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. It allows us to determine how the amounts of substances change during the reaction based on their coefficients in the balanced equation. In this case, the coefficients indicate that for every 2 moles of A consumed, 1 mole of B is consumed and 3 moles of C are produced.

Rate of Reaction

The rate of reaction refers to the speed at which reactants are converted into products. It can be expressed in terms of the change in concentration of a reactant or product over time. Understanding the rates of change for each substance in the reaction is essential for determining how fast B decreases and C increases when A is decreasing.

Concentration Change

Concentration change describes how the concentration of a substance varies over time during a chemical reaction. In this scenario, knowing the rate at which A is decreasing allows us to calculate the corresponding rates for B and C using the stoichiometric ratios. This concept is crucial for applying the rates of change to find the rates of other substances involved in the reaction.