It is desired to fill a cylinder of `1 L` capacity at `82 atm` and `27^(@)C` with hydrogen. What will be the volume of hydrogen under standard conditions of temperature and pressure?

Explanation

To solve the problem of finding the volume of hydrogen under standard conditions of temperature and pressure (STP) when it is desired to fill a cylinder of 1 L capacity at 82 atm and 27°C, we can use the Ideal Gas Law. Here’s a step-by-step solution:

### Step 1: Identify the Given Values
- **Initial Volume (V1)** = 1 L
- **Initial Pressure (P1)** = 82 atm
- **Initial Temperature (T1)** = 27°C = 27 + 273 = 300 K
- **Final Pressure (P2)** = 1 atm (standard pressure)
- **Final Temperature (T2)** = 0°C = 0 + 273 = 273 K
...