# The graph of viscosity coefficient ( η ) and absolute temperature ( T ) is: A. Straight line passing through origin B. Straight line parallel to temperature axis C. Straight line with positive slope D. Exponential graph

## Question

The graph of viscosity coefficient ( $$\eta$$ ) and absolute temperature ( $$T$$ ) is:

A. Straight line passing through origin

B. Straight line parallel to temperature axis

C. Straight line with positive slope

D. Exponential graph

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## Answer

To determine the correct graph representing the relationship between the viscosity coefficient ($$\eta$$) and absolute temperature ($$T$$), let's first understand some key concepts.

### Viscosity and Its Coefficient

**Viscosity** is a measure of a fluid's resistance to flow. For example, honey has higher viscosity compared to water. When considering the layers of a liquid in motion, friction between these layers resists flow, which is characterized by viscosity.

### Relationship between Viscosity and Temperature

The **viscosity coefficient** ($$\eta$$) is a measure of this resistance. Importantly, the viscosity coefficient is **inversely proportional** to the absolute temperature ($$T$$):

$$ \eta \propto \frac{1}{T} $$

When the temperature increases, the **intermolecular attractions** within the fluid decrease, leading to a decrease in viscosity.

### Graph Explanation

Given that $$\eta$$ and $$T$$ have an inverse relationship, the graph of $$\eta$$ versus $$T$$ will not be linear. Instead, it will show an **exponential decay** as temperature increases.

### Conclusion

Therefore, the graph of the viscosity coefficient ($$\eta$$) versus absolute temperature ($$T$$) is an **exponential graph**.

**Answer: D. Exponential graph**

Here’s the correct option highlighted:

**Correct Answer: D. Exponential graph**

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