Equal masses of air are sealed in two vessels, one of volume `V_(0)` and the other of volume `2V_(0)`. If the first vessel is maintained at a temperature `300K` and the other at `600K`, find the ratio of the pressures in the two vessels.

Explanation

To find the ratio of the pressures in the two vessels, we can use the ideal gas law, which states that for a given mass of gas, the relationship between pressure (P), volume (V), and temperature (T) is given by the equation:

\[ PV = nRT \]

Where:
- \( P \) = Pressure
- \( V \) = Volume
- \( n \) = Number of moles of gas
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