Final answer:
In responding to the question about engine bleed air valve regulation, the focus is on the properties of gases and their behavior under changes in temperature and pressure. Using Gay-Lussac's Law and the ideal gas law, calculations can be made to determine the change in pressure resulting from cooling the gas cylinder to dry ice temperature, and if any gas is lost.
Step-by-step explanation:
The student's question relates to the properties of gases, specifically changes in temperature and pressure in a high-pressure gas cylinder scenario. When the cylinder containing toxic gas at 25.0°C is cooled to dry ice temperature without leaking significant amounts of gas or changing phase, Gay-Lussac's Law can be applied to determine the final pressure, as the volume stays constant and only temperature and pressure change. This law formulates that the pressure of a gas is directly proportional to its absolute temperature when its volume is held constant.
For question 34(a), we calculate the final pressure using the initial conditions and the final temperature:
P1 / T1 = P2 / T2
Where P1 is the initial pressure, T1 is the initial absolute temperature in Kelvins, P2 is the final pressure, and T2 is the final absolute temperature. After substituting in the values, we solve for P2 to find the final pressure in the tank.
If one-tenth of the gas escapes as stated in question 34(b), we must account for the loss of gas in addition to the temperature change. We would calculate the final pressure by adjusting the initial pressure according to the amount of gas remaining (90%) and then apply the temperature change to find the new final pressure.
In question 34(c), to find the temperature at which the pressure reduces to 1.00 atm, we rearrange the ideal gas law to solve for the final temperature.
Finally, the practicality of cooling the tank (question 34(d)) can be assessed by considering the cost-effectiveness and safety of the method. Cooling proves to be a practical solution if it sufficiently reduces the pressure to allow for safe repairs without introducing other risks or excessive costs.