Consider a sample of an ideal gas confined within a rigid container at a fixed volume. The gas is initially at a temperature of 300 K and exhibits a pressure of 2 atm. A heat source is applied to the container, causing the gas temperature to rise to 600 K. Assuming that no gas escapes and the volume remains constant, what will be the final pressure of the gas?
Use the ideal gas law, expressed as P V = n R T, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin.