What does a negative sign mean in a reaction rate? What does a positive sign mean?

You usually see these expressed as

rate = -delta(A)/delta T or delta (A)/delta T.

The - means change in A vs T is decreasing; + sign means it is increasing. .

Thank you!

In the context of a reaction rate, a negative sign indicates that the reactant concentration is decreasing over time, while a positive sign means that the product concentration is increasing over time.

To understand this concept more deeply, let's start by discussing the reaction rate. The reaction rate is a measure of how quickly a chemical reaction proceeds. It can be determined by observing the change in concentration of reactants or products over a specific period of time.

Now, when we write a chemical reaction using a balanced equation, we often include coefficients in front of each reactant and product to indicate the stoichiometric ratio. These coefficients reveal the relative molar amounts of each substance involved in the reaction.

The reaction rate can be expressed by using the rate of change in concentration of a reactant or product per unit of time. It is conventionally defined as the rate of disappearance of a reactant or appearance of a product.

Considering this definition, a negative sign in the reaction rate means that the concentration of a reactant is decreasing. This is because, for a reactant, its concentration is decreasing as it is being consumed during the reaction. The negative sign indicates a decrease in concentration over time.

On the other hand, a positive sign in the reaction rate signifies that the concentration of a product is increasing over time. This makes sense since the product is being formed as the reaction progresses, resulting in an increase in its concentration.

To determine the sign of the reaction rate experimentally, you would measure the changes in the concentrations of reactants or products over time. By comparing the initial and final concentrations, you can calculate the difference and the corresponding sign.