A spherical hand-held pump with a radius r is used to pump air into a cube with a length L. The pump and cube are connected together by rubber tubing. Express the pressure stored in the box as a function of the number of times the pump is fully squeezed. Imagine the situation as that of a sphygomanometer without the cuff and the gauge replaced by a cube box. I used Pcube*Vcube=Ppump*VpumpTherefore: Pcube = (Ppump*Vpump) / VcubeThe Attempt at a SolutionI am assuming the cube and pump are at the same temperature and that the pump holds 1 atm pressure when it is not compressed. My expression is the following:P(x) = ((4/3)(pi)(r^3) * (1 atm) * (x)) / (L^3)where x is the number of times the pump is squeezed. I am not confident in my assumption that the initial pump pressure is 1 atm. Anyone know how to express this situation? 65.1 KB Views: 251