The volume of an ideal diatomic gas with `gamma` = 1.5 is changed adiabatically from 16 litre to 12 litre. Find the ratio of the final and initial pressures and temperatures.

Explanation

To solve the problem step by step, we will use the principles of thermodynamics related to adiabatic processes for an ideal diatomic gas.

### Step 1: Understanding the Adiabatic Process
In an adiabatic process, the relationship between pressure (P), volume (V), and the adiabatic constant (γ) is given by:
\[ P V^\gamma = \text{constant} \]
Where γ (gamma) for a diatomic gas is given as 1.5.

### Step 2: Finding the Pressure Ratio
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