Use of hot air ballons in sports and meteorological observations in an application of

Options

A. Boyle’s law
B. Gay-Lusaac’s law
C. Kelvin’s law
D. Charle’s law

Answer

**Step-by-Step Solution:**

1. **Understanding Hot Air Balloons:**
- A hot air balloon consists of a large balloon (envelope) that is filled with hot air and a compartment (basket) where passengers sit.

2. **Principle of Operation:**
- The operation of a hot air balloon is based on the principle of buoyancy, which states that an object will rise in a fluid if it is less dense than the fluid.

3. **Application of Charles's Law:**
- Charles's Law states that at constant pressure, the volume of a gas is directly proportional to its temperature (in Kelvin).
- Mathematically, it can be expressed as:
\[ V \propto T \quad (P \text{ is constant}) \]
- This means that if the temperature of the gas inside the balloon increases, the volume of the gas will also increase.

4. **Heating the Air:**
- In a hot air balloon, a burner heats the air inside the balloon. As the air heats up, its temperature increases, leading to an increase in volume.

5. **Resulting Buoyancy:**
- As the volume of the hot air increases, the density of the air inside the balloon decreases compared to the cooler air outside.
- This difference in density creates an upward buoyant force, causing the balloon to rise.

6. **Applications in Sports and Meteorology:**
- Hot air balloons are used in sports, such as ballooning competitions, where participants navigate their balloons through the air.
- In meteorology, hot air balloons are used for observations and data collection at various altitudes, providing valuable information about atmospheric conditions.