4) [38] A gas is inside a piston-cylinder assembly equipped with a spring. The gas goes through the following processes: AB: heat transfer into the gas occurs, causing the piston to rise from X to XB BC: heat transfer into the gas continues to occur, and the piston continues to rise, moving from XB to xc. Make the following assumptions, and use the following values: Process A B C is very slow (implying that it is quasistatic). Room pressure is Pamb = 1 bar The spring is idea, and the value of the spring constant is k There is no friction The thickness of the piston can be neglected Quantity Piston mass Spring constant Room (ambient) pressure Piston surface area (in contact with gas) Value Units 7.00 kg 950 N/cm 1.00 bar 4.00 cm 5.00 cm 7.00 cm 10.00 cm^2 a) Perform a vertical force balance on the piston to find the pressure inside the cylinder during process A B. b) Perform a vertical force balance on the piston to find the pressure inside the cylinder during process B C. In this case, this will be an algebraic equation for pressure as a function of piston height x, for XB