Skip to main content
Ch.14 - Chemical Kinetics
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 14th EditionCh.14 - Chemical Kinetics문제 27c
14장, 문제 27c

A reaction A + B → C obeys the following rate law: Rate = k[B]2. (c) What are the units of the rate constant?

검증된 단계별 안내
1
Identify the rate law given in the problem: Rate = k[B]^2. This indicates that the rate of the reaction depends on the concentration of B squared.
Recall that the rate of a reaction is typically expressed in units of concentration per unit time, such as mol/L/s.
The concentration of B is expressed in mol/L. Since the rate law is Rate = k[B]^2, the concentration term [B]^2 will have units of (mol/L)^2 or mol^2/L^2.
To find the units of the rate constant k, rearrange the rate law to solve for k: k = Rate / [B]^2.
Substitute the units into the rearranged equation: k = (mol/L/s) / (mol^2/L^2). Simplify this expression to determine the units of k.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m

주요 개념

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

Rate of Reaction

The rate of a chemical reaction quantifies how quickly reactants are converted into products. It is typically expressed in terms of concentration change over time, such as moles per liter per second (mol/L/s). Understanding the rate is crucial for determining how the concentration of reactants affects the speed of the reaction.
추천 영상:
가이드 코스
02:03
Average Rate of Reaction

Rate Law

A rate law is an equation that relates the rate of a reaction to the concentration of its reactants, each raised to a power corresponding to their reaction order. In the given rate law, Rate = k[B]<sup>2</sup>, the reaction is second-order with respect to B, indicating that the rate is proportional to the square of the concentration of B. This relationship is essential for calculating the units of the rate constant.
추천 영상:
가이드 코스
01:52
Rate Law Fundamentals

Units of the Rate Constant (k)

The units of the rate constant (k) depend on the overall order of the reaction. For a second-order reaction, like the one described, the units of k are derived from the rate equation. Since the rate has units of mol/L/s and the concentration of B is in mol/L, the units of k must be L/(mol·s) to ensure that the equation is dimensionally consistent.
추천 영상:
가이드 코스
01:14
Equilibrium Constant K
관련 실천
교과서 질문

A reaction A + B → C obeys the following rate law: Rate = k[B]2. (a) If [A] is doubled, how will the rate change? Will the rate constant change?

1323
views
교과서 질문

Consider a hypothetical reaction between A, B, and C that is first order in A, zero order in B, and second order in C. (b) How does the rate change when [A] is doubled and the other reactant concentrations are held constant? (c) How does the rate change when [B] is tripled and the other reactant concentrations are held constant? (d) How does the rate change when [C] is tripled and the other reactant concentrations are held constant? (f) By what factor does the rate change when the concentrations of all three reactants are cut in half?

교과서 질문

Consider a hypothetical reaction between A, B, and C that is first order in A, zero order in B, and second order in C. (a) Write the rate law for the reaction.

1557
views
교과서 질문

A reaction A + B → C obeys the following rate law: Rate = k[B]2. (b) What are the reaction orders for A and B? What is the overall reaction order?

522
views
교과서 질문

Consider a hypothetical reaction between A, B, and C that is first order in A, zero order in B, and second order in C. (e) By what factor does the rate change when the concentrations of all three reactants are tripled?

1050
views