Question

By how much does the volume of an aluminum cube 5.00 cm on an edge increase when the cube is heated from 10.0C to 60.0C?

Answer 1

Volume expansion Delta V/V = 3 alpha Delta T for aluminium alpha = 24 times 10^- 6 c^0 - 1 each side framing a = 5 times 10^- 2 m then volume of cube v = a^3 = (5 times 10^- 2)^3 = 1.25 times 10^- 4 therefore Delta V = v(3 alpha Delta T) = (1.25 times 10^- 4)(3 times(24 times 10^- 6)(60 - 10)) = 4.5 times 10^- 7 m^3 therefore volume of cube at 60 degree is = (1.25 times 10^- 4) + (4.5 times 10^- 7) = 1.25445 times 10^- 4 m^3