A large irregularly-shaped closed tank is first evacuated and then connected to a 50-litre cylinder containing compressed nitrogen gas. The gas pressure in the cylinder, originally at 21.5 atm, falls to 1.55 atm after it is connected to the evacuated tank. Calculate the volume of the tank.

Explanation

To solve the problem, we will use the ideal gas law and the concept of conservation of gas. The initial state of the gas in the cylinder and the final state after connecting to the tank can be analyzed using the formula for pressure and volume.

### Step-by-Step Solution:

1. **Identify Initial Conditions:**
- The initial pressure in the cylinder (P1) = 21.5 atm
- The initial volume of the cylinder (V1) = 50 L
- The final pressure after connecting to the tank (P2) = 1.55 atm
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