(a) With the assistance of a diagram, define the following terms: (i) gauge pressure, (ii) vacuum pressure, and (iii) absolute pressure. (5 marks) (b) A hydraulic lift as shown in FIGURE Q1(b) is to be used to lift a 2500kg weight by putting a weight of 25kg on a piston with a diameter of 10cm. Determine the diameter of the piston on which the weight is to be placed. (10 marks) (c) Two phases fluid inside a tank as shown in FIGURE Q1(c) are well mixed between saturated liquid and saturated vapour, forming a homogeneous mixture with average properties. If the volume occupied by saturated liquid is Vf, and the volume occupied by saturated vapour is Vg. The total volume, V is the sum of the two: V=Vf+Vg From the above equation, derive that the average specific volume, vavg is equal to: vavg=vf+xvfg Where; x is a ratio of the vapor mass to the total mass of the fluid, and vfg=vgvf FIGUKE UI(D) FIGURE Q1(c)