Water of density 1000 kg/m$^3$ fills a U-shaped tube whose cross-sectional area is constant. Each arm of the U-tube is open to the atmosphere. Fig. 3.1 shows the water at the same level on both sides of the tube. The atmospheric pressure is 1.00 \times 10$^5$ Pa. The left-hand arm is then attached to a gas supply by means of rubber tubing. As a result, the water level on the left-hand side falls by 0.200 m, as shown in Fig. 3.2.
(a)[3]
Calculate the pressure of the gas supply. Give the result to 3 significant figures.
(b(i))[2]
Calculate the resultant force acting on the piston.
(b(ii))[2]
Calculate the work done on the piston by the gas from the supply.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Hydrostatic relation: $p = \rho hg$ (any form)” …