A gas is to be filled from a tank of capacity 10,000 litres into cylinders each having capacity of 10 litres. The condition of the gas in the tank is as follows:
Pressure inside the tank is 800 mm Hg.
Temperature inside the tank is `-3^@C`.
When the cylinder is filled, the pressure gauge reads 400 mm of Hg and the temperature is 270 K. Find the number of cylinders required to fill the gas.

Explanation

To solve the problem, we will use the ideal gas law, which states that \( \frac{PV}{T} \) is constant for a given amount of gas. We will apply this principle to find the volume of gas that can be filled in the cylinders.

### Step-by-Step Solution:

1. **Identify Given Data:**
- Capacity of the tank, \( V_{tank} = 10,000 \) liters
- Capacity of each cylinder, \( V_{cylinder} = 10 \) liters
- Pressure in the tank, \( P_{tank} = 800 \) mm Hg
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