One mole of `SO_(2)` at `298K` and `1atm` pressure is heated in a closed vessel so that its temperature is `475K` and pressure is `4atm`. It is then cooled so that temperature becomes `298K` and pressure is `1atm`. What is that change in the internal energy of the gas?

Explanation

To find the change in internal energy of the gas, we can follow these steps:

### Step 1: Understand the concept of internal energy
Internal energy (U) is a state function, meaning it depends only on the initial and final states of the system, not on the path taken to get there.

### Step 2: Identify the initial and final states
- Initial state (A): 1 mole of SO₂ at 298 K and 1 atm.
- Final state (B): After heating, the gas reaches 475 K and 4 atm.
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