Show graphically the temperature variation with time associated with a colling hot body.

Answer

To show graphically the temperature variation with time associated with a cooling hot body, we can follow these steps:

### Step 1: Understand the Concept of Cooling
Cooling of a hot body occurs when it loses heat to its surroundings. According to Newton's Law of Cooling, the rate of heat loss of a body is directly proportional to the difference in temperature between the body and its surroundings.

### Step 2: Set Up the Axes
On a graph, we will represent:
- The x-axis as time (t)
- The y-axis as temperature (T)

### Step 3: Initial Temperature
Assume the initial temperature of the hot body is T0 (for example, 60°C). At time t = 0, the temperature is at its maximum.

### Step 4: Cooling Curve
As time progresses, the temperature of the body decreases. The cooling curve will not be linear; instead, it will be a curve that starts steep and gradually flattens out.

- For the first interval (0 to 10 minutes), the temperature might drop from 60°C to 50°C.
- For the next interval (10 to 20 minutes), it might drop from 50°C to around 43°C.
- Continuing this pattern, the temperature will keep decreasing but at a slower rate.

### Step 5: Saturation Point
Eventually, the temperature will approach the ambient temperature (room temperature), which we can denote as T_room (for example, 20°C). The curve will flatten out as it gets closer to this temperature, indicating that the rate of cooling decreases significantly.

### Step 6: Draw the Graph
Now, we can sketch the graph:
- Start at the point (0, T0) on the graph.
- Draw a curve that decreases steeply at first and then gradually flattens out as it approaches T_room.
- Mark the points where the temperature is at 60°C, 50°C, 43°C, and finally approaching 20°C.

### Final Graph
The final graph will show a downward curve starting from the initial temperature and approaching the ambient temperature, illustrating the cooling process over time.