A piston/cylinder has two chambers and includes a spring as illustrated below. The righthand side contains air at 20°C and 0.2 MPa. The spring exerts a force to the right of F = 5500x N where x is the distance indicated in the diagram, and xⁱ = 0.3 m. The piston has a cross-sectional area of 0.1 m². Assume that the piston/cylinder materials do not conduct heat, and that the piston/cylinder and spring do not change temperature. After oscillations cease, what is the temperature of the air in the right chamber and the final position of the piston, x f, for the cases listed below? Use a temperature-independent heat capacity for air, C_P = 7R/ 2.

(a) The left chamber is evacuated and the plug remains in place.

(b) The plug is removed so that the left-side pressure stays at 0.1 MPa throughout the process.

Transcribed Image Text:

Plug Spring Stop Air X