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In a reaction, aA+bBrarrcC+dD rate =...

In a reaction,
`aA+bBrarrcC+dD`
rate `=-1/a(d[A])/(dt)` , the - ve sign in it represents

A

The rate of reaction increases with time

B

The rate is negative for the reaction

C

The concentration of the reactant 'A' decreases during the reaction

D

The concentration of reactant 'A' increases in the reaction

Text Solution

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The correct Answer is:
To solve the question regarding the negative sign in the rate expression for the reaction \( aA + bB \rightarrow cC + dD \), we will go through the following steps: ### Step-by-Step Solution: 1. **Understanding the Rate Expression**: The rate of the reaction is given as: \[ \text{rate} = -\frac{1}{a} \frac{d[A]}{dt} \] Here, \([A]\) represents the concentration of reactant A, and \(t\) represents time. 2. **Identifying the Meaning of the Negative Sign**: The negative sign in the rate expression indicates that the concentration of reactant A is decreasing over time as the reaction proceeds. This is because reactants are consumed during the reaction to form products. 3. **Graphical Representation**: If we were to plot a concentration vs. time graph, we would see that: - The concentration of reactants (like A) decreases over time. - Conversely, the concentration of products (like C and D) increases over time. 4. **Rate of Disappearance vs. Rate of Formation**: - The rate of disappearance of reactants is expressed with a negative sign to reflect that their concentration is decreasing. - In contrast, the rate of formation of products is expressed positively, as their concentration is increasing. 5. **Conclusion**: Thus, the negative sign in the rate expression signifies that the concentration of reactant A decreases as the reaction progresses. ### Final Answer: The negative sign in the rate expression represents that the concentration of reactant A decreases during the reaction.
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