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What are the units of reaction rate? What is the sign of a reaction rate?

Short Answer

Expert verified
The units of reaction rate are typically moles per liter per second (M/s). The sign of a reaction rate for a reactant is negative, indicating a decrease in concentration, while it is positive for a product, indicating an increase in concentration.

Step by step solution

01

Understanding Units of Reaction Rate

The reaction rate is defined as the rate at which the concentration of a reactant decreases or the concentration of a product increases per unit time. Therefore, the units of reaction rate are concentration divided by time. For concentration in moles per liter (M) and time in seconds (s), the units would be M/s.
02

Determining the Sign of Reaction Rate

The sign of a reaction rate is typically taken to be positive. For a reactant, this implies a decrease in concentration over time, while for a product, it indicates an increase in concentration over time. Therefore, when calculating the reaction rate based on reactant concentration, we take the negative of the rate to reflect a decrease in concentration.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Units of Reaction Rate
When diving into the study of chemical kinetics, one critical concept to grasp is the 'units of reaction rate'. Simply put, the reaction rate quantifies how quickly a reactant is used up or a product is formed during a chemical reaction. It's typically measured by changes in concentration over a specified time period.

Let's break down the units: concentration is often expressed in moles per liter (M), and time can be in seconds (s), minutes (min), or hours (h). Hence, a common unit for reaction rate could be M/s - indicating how many moles of substance change per liter per second. Alternatively, one might see the units M/min or M/h depending on the context of the reaction and the preference of the chemist or researcher. Understanding these units is not only essential for solving problems but also for interpreting results in practical situations, such as industrial chemical processes where reaction rates must be carefully controlled.
Reaction Rate Sign
Another key aspect to consider is the 'reaction rate sign'. Generally, we designate the reaction rate as a positive value because it denotes the speed of a reaction, but there's more to the story. Looking closer, we differentiate between the reactions involving reactants and products.

For reactants, as they are consumed, their concentration decreases over time. While we calculate the reaction rate based on the change in reactants, we take the negative of the actual value. This negative sign is there to indicate the depletion of reactants. Conversely, the concentration of products increases, and so, their reaction rate is reflected with a positive sign. Essentially, the sign conveys the direction of change - a nuance that is vitally important in the precise documentation and understanding of chemical reactions. This distinction aids in preventing confusion and ensures clarity in experimental and theoretical chemistry.
Concentration Over Time
The change in 'concentration over time' is at the heart of understanding chemical kinetics. It's the measure that underpins the calculation of the reaction rate. To delve deeper, picture a graph where concentration is plotted on the vertical axis and time on the horizontal axis.

For a reactant, we typically observe a downward slope, showing that its concentration is falling as time progresses—this is the essence of its reaction rate. If we're watching a product, we'd see an upward slope, an indication of its concentration rising. The steeper these slopes, the greater the rate at which reactants are consumed or products are formed. Thus, chemists can learn not just about the speed of a reaction but also about how factors such as temperature, pressure, or catalysts might be affecting the reaction's progress. By analyzing the slopes, reaction rates, and their associated graphs, students and chemists alike can predict and control the outcome of chemical processes, which is crucial for everything from lab experiments to manufacturing pharmaceuticals.

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Most popular questions from this chapter

Can we use molality instead of molarity in constructing rate laws? Can mole fractions be used?

In the combustion of hexane (a low-boiling component of gasoline),$$2 \mathrm{C}_{6} \mathrm{H}_{14}(g)+19 \mathrm{O}_{2}(g) \longrightarrow 12 \mathrm{CO}_{2}(g)+14 \mathrm{H}_{2} \mathrm{O}(g)$$ it was found that the rate of decrease of \(\mathrm{C}_{6} \mathrm{H}_{14}\) was \(1.20 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}\) (a) What was the rate of reaction with respect to \(\mathrm{O}_{2} ?\) (b) What was the rate of formation of \(\mathrm{CO}_{2}\) ? (c) What was the rate of formation of \(\mathrm{H}_{2} \mathrm{O}\) ?

\(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) decomposes in a first-order process with a half life of \(4.88 \times 10^{3} \mathrm{~s}\). If the original concentration of \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) is \(0.012 \mathrm{M}\), how many seconds will it take for the \(\mathrm{SO}_{2} \mathrm{Cl}_{2}\) to reach \(0.0020 \mathrm{M}\) ?

What is an intermediate in the context of reaction mechanisms?

Cyclopropane, \(\mathrm{C}_{3} \mathrm{H}_{6}\), is a gas used as a general anesthetic. It undergoes a slow molecular rearrangement to propylene. At a certain temperature, the following data were obtained relating concentration and rate: $$\begin{array}{cc}\text { Initial Concentration of } & \text { Initial Rate of Formation } \\\\\text { Cyclopropane }\left(\mathrm{mol} \mathrm{L}^{-1}\right) & \text {of Propylene }\left(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}\right) \\\0.050 & 2.95 \times 10^{-5} \\\0.100 & 5.90 \times 10^{-5} \\\0.150 & 8.85 \times 10^{-5}\end{array}$$ What is the rate law for the reaction? What is the value of the rate constant, with correct units?

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