Aluminum has a density of 270 gcm3 at room temperature 20 de

Aluminum has a density of 2.70 g/cm^3 at room temperature (20 degree C). Determine its density at 500 degree C.

Solution

Assume a 1 cm3 cube, 1 cm on each side. For alluminium, = 24x(10^-6) mm/mm/°C L2 - L1 = L1 (T2 - T2). L2 = 1.0 + 24(10^-6)(1.0)(650 - 20) = 1.01512 cm (L2 )3 = (1.01512)3 = 1.04605 cm3 Assume weight remains the same; thus at 650°C = 2.70/1.04605 = 2.581 g/cm3