A plot between time and the amount of reactant consumed is found to be a straight line passing through origin for a reaction. The order of the reaction is

Options

A. 0
B. 1
C. 2
D. 3

Answer

To determine the order of the reaction based on the information given in the question, we can follow these steps:

### Step 1: Understand the Graph
The question states that there is a plot between time (t) and the amount of reactant consumed (X) that forms a straight line passing through the origin.

**Hint:** A straight line passing through the origin indicates a linear relationship between the two variables.

### Step 2: Identify the Relationship
In chemical kinetics, the relationship between the amount of reactant consumed and time can be described by the rate laws for different orders of reactions. For a zero-order reaction, the amount of reactant consumed (X) is directly proportional to time (t).

**Hint:** Recall the general form of the zero-order reaction: \( X = k \cdot t \), where \( k \) is the rate constant.

### Step 3: Analyze the Zero-Order Reaction
For a zero-order reaction, the equation \( X = k \cdot t \) indicates that if you plot the amount of reactant consumed (X) against time (t), you will get a straight line with a slope equal to the rate constant \( k \). Since the plot in the question is a straight line through the origin, it confirms that the reaction follows zero-order kinetics.

**Hint:** A straight line in a graph indicates a linear relationship, which is characteristic of zero-order reactions.

### Step 4: Conclusion
Since the plot of the amount of reactant consumed versus time is a straight line passing through the origin, we conclude that the order of the reaction is zero.

**Final Answer:** The order of the reaction is **zero**.