Question:medium
For a first-order reaction R \(\rightarrow\) P at a given temperature, \(k\) is the rate constant. For this reaction, at the given temperature, the concentrations of R and P at a time \(t\) are [R] and [P], respectively. The correct graphical representation(s) for this reaction is(are)
For a first-order reaction R \(\rightarrow\) P at a given temperature, \(k\) is the rate constant. For this reaction, at the given temperature, the concentrations of R and P at a time \(t\) are [R] and [P], respectively. The correct graphical representation(s) for this reaction is(are)
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Remember the characteristic shapes for first-order reactions:
- Reactant [R] vs t: Exponential decay (concave up).
- ln[R] vs t: Linear with negative slope.
- Product [P] vs t: Exponential increase, approaching max (concave down).
- Rate vs t: Exponential decay (concave up).
- Rate vs [R]: Linear with positive slope.
- Reactant [R] vs t: Exponential decay (concave up).
- ln[R] vs t: Linear with negative slope.
- Product [P] vs t: Exponential increase, approaching max (concave down).
- Rate vs t: Exponential decay (concave up).
- Rate vs [R]: Linear with positive slope.
Updated On: May 20, 2026
- [P] vs t (increasing curve)
- d[R]/dt vs [R] (increasing straight line)
- d[P]/dt vs t (decreasing curve)
- k vs t (horizontal line)
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The Correct Option is C
Solution and Explanation
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