Question

the coefficient of linear expansion of aluminum is 24.0 * 10^-6K^-1 and th density of aluminum at ) C is 2.7 *10^3kg/m^3. what is the density of aluminum at 300 C

Answer 1

The density at 300 C is
`2641.68 kg/m^3`.

Step-by-step explanation:

density at 0 degree, d = 2700 kg/m3

coefficient of linear expansion, = 24 x 10^{-6} /K

Let the density at 300 C is d'.

Use the formula of the cubical expansion

`d'= d (1-3\alpha \Delta T)\\\\d'= 2700(1- 3 * 24* 10^(-6)* 300)\\\\d' = 2641.68 kg/m^3`