A gas expands in such a manner that its pressure and volume comply with the condition `"PV"^2` = constant. Will the gas cool or get heated on expansion?

Explanation

To determine whether the gas cools or heats upon expansion given the condition \( PV^2 = \text{constant} \), we can follow these steps:

### Step 1: Understand the given condition
We start with the condition \( PV^2 = K \), where \( K \) is a constant. This implies a relationship between pressure (P) and volume (V) during the expansion of the gas.

**Hint:** Recognize that the relationship between pressure and volume is key to understanding the behavior of the gas.

### Step 2: Use the Ideal Gas Law
...