Q1. An aluminium cup of 180 cm3 capacities is totally filled with glycerin at 18° C. How much glycerin (in cubic cm) would spill out of the cup if temperature of both the cup and glycerin is increased to 33° C? (The linear expansion coefficient of aluminium is 23 x 10-6 /C°. The coefficient of volume expansion of glycerin is 5.1 × 10-4/C°.)
Q2. The supersonic aircraft Concorde has a length of 63.0 meters when sitting on the ground on a typical day when the temperature is 12.0 Celsius. The Concorde is primarily made of aluminium. In flight at twice the speed of sound, friction with the air warms Concorde's skin and causes the aircraft to lengthen by 25.0 cm.