Observe the graph in the given figure and answer the following questions:
(a) Predict the order of reaction.
(b) What is the slope of the curve?
(a) Predict the order of reaction.
(b) What is the slope of the curve?
Show Hint
Solution and Explanation
(a) Predict the Order of Reaction
The graph shows a linear relationship between log |R₀| and time. This suggests a first-order reaction.
In a first-order reaction, the concentration of the reactant decreases exponentially over time. This means:
\[ \ln [R] = \ln [R_0] - kt \]
Taking the logarithm (base 10) of both sides also gives a linear equation, which justifies that a plot of \(\log [R]\) versus time is a straight line.
(b) What is the Slope of the Curve?
For a first-order reaction, the slope of the \(\log [R]\) vs time graph is equal to \(-k\), where \(k\) is the rate constant.
So, the slope \(m\) of the graph is:
\[ \text{slope} = -k \]
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