Question:

Identify the nature of the graph obtained when rate versus initial concentration is plotted for first order reaction.

Show Hint

A first order rate law is linear in concentration, so the graph is a straight line through the origin with slope equal to the rate constant.
Updated On: Nov 12, 2026
  • A straight line passing through the origine having -ve slope.
  • A straight line parallel to X axis.
  • A straight line passing through the origine having +ve slope.
  • A straight line intercepting X and Y axes.
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the Concept
For a first order reaction, Rate \(=k[A]\).

Step 2: Compare with a straight line
This has the form \(y=mx\), with rate on the y-axis, \([A]\) on the x-axis and slope \(m=k\).
Since \(k>0\), the slope is positive and there is no intercept.

Step 3: Compare the options
A straight line through the origin with positive slope matches the third option.

Final Answer:
The graph is a straight line through the origin with positive slope. \[ \boxed{\text{(C) }\text{A straight line passing through the origin having +ve slope}} \]
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