A ballon weighing `50 kg` is filled with `685kg` of helium at `1atm` pressure and `25^(@)C`. What will be its pay load if it displaced `5108 kg` of air ?

Options

A. 4373 kg
B. 4423 kg
C. 5793 kg
D. none of these

Explanation

To solve the problem, we need to determine the payload of the balloon filled with helium. The payload is defined as the difference between the mass of the air displaced by the balloon and the total mass of the balloon (including the helium inside it).

### Step-by-Step Solution:

1. **Calculate the Total Mass of the Filled Balloon:**
- The total mass of the filled balloon is the sum of the weight of the balloon and the weight of the helium inside it.
- Given:
- Mass of the balloon = 50 kg
- Mass of helium = 685 kg
- Total mass of the filled balloon = Mass of balloon + Mass of helium
\[ \text{Total mass of filled balloon} = 50 \, \text{kg} + 685 \, \text{kg} = 735 \, \text{kg} \]

2. **Identify the Mass of Displaced Air:**
- The mass of air displaced by the balloon is given as 5108 kg.

3. **Calculate the Payload:**
- The payload can be calculated using the formula:
\[ \text{Payload} = \text{Mass of displaced air} - \text{Total mass of filled balloon} \]
- Substituting the values:
\[ \text{Payload} = 5108 \, \text{kg} - 735 \, \text{kg} = 4373 \, \text{kg} \]

4. **Conclusion:**
- The payload of the balloon is 4373 kg.

### Final Answer:
The payload of the balloon is **4373 kg**.