Total Pressure Calculation in Gas Mixture

A sealed container holds a mixture of two gases: Nitrogen (N₂) and Oxygen (O₂). The container volume is fixed at 10.0 L and is maintained at a temperature of 298 K. The partial pressure of N₂ in the container is measured to be 0.80 atm, while the partial pressure of O₂ is 0.20 atm. Based on the ideal gas law, calculate the total pressure within the container when the amounts of gases are allowed to change while keeping the volume and temperature constant. Additionally, derive the mole fractions of the gases and identify how the total pressure is affected if the number of moles of N₂ is doubled without adding O₂.