1. Applying the Ideal Gas Law

A cylinder with a valve at the bottom contains an ideal gas. The valve is opened and some of the gas escapes slowly. The valve is then closed, after which the piston is observed to be at a lower positions Assume that the system is in thermal equilibrium with the surroundings at all times and that the piston is free to move without friction. Ideal gas a. Make a complete and properly labeled force diagram for the piston at two instants: i. one for an instant before the valve is open and ii. one foran instant afterward (but before the valve is closed) b. Is the nal pressure of the gas in the cylindergreater than, less than, or equal to the initial pressure? Explains c. In this process, which of the quantities P, V, n, and T are held constant and which are allowed to change? d. Consider the following incorrect student statement. "RT "In the ideal gas law, P : V v so the pressure is inversely proportional to the volumes If you decrease the volume, the pressure has to go up." What is the aw in the student's reasoning? e. Explain why it is not possible to use the ideal gas law to determine whether the pressure changed in this process