The cubical coefficient of expansion (each given as per degree C) of three common fluids are:Water, 0.000 45Petrol, 0.002 17Air, 0.003 65Example. The cooling system of an engine contains exactly 9 litres of water. Before starting the engine, the temperature of the water is 15 deg C; after a run the temperature of the water is found to be 85 deg C. Calculate the volume of water lost by expansion through the overflow pipe (cubical expansion of water is 0.000 45 per 1 degree C).Expansion of water = Volume of water x coefficient of expansion x temperature rise (water lost) = 9 x 0.000 45 x (85 – 15) litres = 0.2834 litresWORKSHEET1.By how much is the diameter of an aluminium piston increased when its temperature is raised from 4 deg C to 204 deg C? The diameter at 4 deg C is 75 mm. Coefficient of expansion for aluminium is 0.000 022 1 per degree C.2.By how much is the length of a steel rod, 3048 mm, increased when its temperature is raised from 4 deg C to 38 deg C? The coefficient of linear expansion is 0.000 011 9.3.a) A steel rod 2500 mm long lengthens 1.75 mm when its temperature is raised by 55 deg C. What is the coefficient of expansion of steel?b) By how much will a steel rod shortens when its temperature falls from 120 deg C to 10 deg C? Its original length is 3048 mm.4.The coefficient of linear expansion of iron is 0.000 012 and that of aluminium 0.000 023. A rod of iron and a rod of aluminium are both 305 mm long at 100 deg C. What will be the difference in their length at 20 deg C?5.A brass rod measures 900 mm at 0 deg C and increases in length by 1.65 mm when heated to 100 deg C. What is the coefficient of linear expansion of brass per degree C?6.A copper pipe in a heating system is 9145 mm long at the normal temperature of 15 deg C; find its length when water at a temperature of 85 deg C flows through it. Co...
