Which one of the following graphs represents variation of specific heat capacity of water with temperature?

Options

A.
B.
C.
D.

Answer

To determine which graph represents the variation of specific heat capacity of water with temperature, we can follow these steps:

### Step 1: Understand the relationship between specific heat capacity and temperature
The specific heat capacity (C) of a substance is defined as the amount of heat required to raise the temperature of a unit mass of the substance by one degree Celsius. For water, this relationship can vary with temperature.

### Step 2: Analyze the behavior of water's density with temperature
- Water has a unique property where its density changes with temperature.
- As the temperature of water increases from 0°C to 4°C, its density increases.
- Beyond 4°C, as the temperature continues to rise, the density of water decreases until it reaches 100°C, where it begins to convert to steam.

### Step 3: Relate density changes to specific heat capacity
- Since specific heat capacity is inversely related to density, we can infer the following:
- From 0°C to 4°C: As the density increases, the specific heat capacity decreases.
- From 4°C to 100°C: As the density decreases, the specific heat capacity increases.

### Step 4: Identify the correct graph
Given the behavior of specific heat capacity with temperature:
- The specific heat capacity should initially decrease as the temperature increases from 0°C to 4°C.
- After reaching 4°C, the specific heat capacity should start to increase as the temperature continues to rise up to 100°C.

### Conclusion
Thus, the graph that represents this behavior is one that shows a decrease in specific heat capacity from 0°C to 4°C, followed by an increase from 4°C to 100°C. This corresponds to **Option A**.