A partition separates an ideal gas (PV = mRT) into two chambers A and B inside a rigid and insulated tank of total volume 1 m. At the initial state, the gas volumes in chambers A and B are equal; VAI = 10 m/kg and VBI = 50 m/kg. The partition moves during a process such that TAI = TA2 and TBI = TB2. At the final state, VA2 = 15 m/kg and VB2= 25 m/kg. (a) Determine the volume in each chamber at the final state, in m. (b) Calculate the ratio of final and initial pressures in each chamber. (ii) A piston-cylinder system contains a gas as shown. Mass of the piston is 40 kg and the area of the piston is 0.01 m. Assume the atmospheric pressure is 0.1 MPa and acceleration due to gravity is 10 m/s. (a) Calculate the pressure of the gas inside the cylinder at equilibrium, in kPa. (b) If the gas is heated and the gas volume doubles, does the gas pressure inside the cylinder increase, decrease, or remain the same? Explain. I (iii) A body initially at rest is accelerated to a velocity of 200 m/s along a surface inclined at 30 relative to the horizontal. The body travels a distance of 10 m along the inclined surface. The work required to overcome the changes in kinetic and potential energy during this process is equal to 200 kJ. Assume acceleration due to gravity is 9.81 m/s. Determine mass of the body, in kg.