1. The problem statement, all variables and given/known data There are two opposing cylinders, C1 and C2. Each cylinder is sealed. Each cylinder has a movable piston at one end. The pistons of each cylinder face each other. The pistons are connected to each other by a straight Shaft. C1 is connected to an air supply with an initial air pressure of 150 psi. Over time, the air pressure in the air supply, and thus C1, is increased to 157 psi. The dimensions of C1 is .5" radius and 5" length. the initial air pressure in C2 is 150 psi. What are the dimensions of C2 (Length and Radius), to allow the Shaft to move 4" in the direction of C2 as the pressure increases 7 psi in C1, with a minimum of volume? 2. Relevant equations I have used Boyle's law for two cylinders: P1V1=P2V2 3. The attempt at a solution As the pressure increases in C1, the shaft begins to move right, decreasing the volume, and increasing the pressure in C2. When the shaft moves 4", the pressure in C1 and C2 are equalized and the shaft movement stops. P1V1=P2V2 Inserting V=π * r12 * h1, I get P1(π * r12 * h1)=P2(π * r22 * h2) Where P1=157, r1=.5", h1=5, P2=150, r2=.4, I solve for h2. Thus, h2=8.1. So, I would need C2 to be 8.1" long and .4" radius to allow 4" of shaft movement with a change of 7 psi in C1?