Final answer:
To solve the student's question on ideal gas law calculations, various gas laws such as the ideal gas law and Gay-Lussac's law are applied to find the final pressure, number of moles to be released, and partial pressure of Argon in a combined and cooled gas mixture.
Step-by-step explanation:
The student's question pertains to ideal gas law calculations and partial pressures in a gas mixture after a combination and cooling process. To find the final pressure of the gas mixture, we use the ideal gas law before and after the combination, followed by the Gay-Lussac's law to account for the decrease in temperature. The process consists of multiple steps: determining the total number of moles of both gases using the initial conditions and the ideal gas law, finding the final pressure after combining the gases using the combined volume and the total amount of gas, and finally adjusting for the change in temperature using the final number of moles and volume.
To answer part (b), after finding the final pressure of the mixture, we calculate the number of moles to be released to reach a pressure of 1 bar while maintaining the temperature at 12.2 °C. We use the ideal gas law formula where the pressure, volume, and temperature remain constant. For part (c), the partial pressure of Argon is found using Dalton's Law of Partial Pressures, which states that the total pressure of a gas mixture is the sum of the partial pressures of individual gases in the mixture. The partial pressure of Argon is calculated using its mole fraction in the mixture times the new total pressure after some gas has been released.