Question
The coefficient of linear expansion ofcopper is 17 × 10-6 K-1. A block ofcopper 30 cm wide, 45 cm long, and 10 cm thick is heated from0°C to 100°C What is the change in the volume of theblock?
2.3 ×10-5 m3 13.8 ×10-5 m3 4.6 ×10-5 m3 5.2 ×10-5 m3 6.9 ×10-5 m3 The coefficient of linear expansion ofcopper is 17 x 10^-6 K^-1. A block ofcopper 30 cm wide, 45 cm long, and 10 cm thick is heated from0 degree C to 100 degree C What is the change in the volume of theblock? 2.3 x10^-5 m^3 13.8 x10^-5 m^3 4.6 x10^-5 m^3 5.2 x10^-5 m^3 6.9 x10^-5 m^3
Explanation / Answer
The coefficient oflinear expansion of copper = 17 ×10-6 K-1 Initial volume V= 30 cm * 45 cm * 10 cm = 135 00 cm ^ 3 = 13500 * 10 ^ -6 m ^ 3 temp difference dt = 100°C change involume dV = V ( 3 ) dt = 68.85 * 10 ^ -6 m ^ 3 ~ 6.9 * 10 ^ -5 m ^ 3 Initial volume V= 30 cm * 45 cm * 10 cm = 135 00 cm ^ 3 = 13500 * 10 ^ -6 m ^ 3 temp difference dt = 100°C change involume dV = V ( 3 ) dt = 68.85 * 10 ^ -6 m ^ 3 ~ 6.9 * 10 ^ -5 m ^ 3