Final answer:
The 8.8 m copper pipe will expand approximately 19.656 mm when heated from 37°C to 173°C, calculated using the coefficient of linear expansion for copper.
Step-by-step explanation:
To calculate how much an 8.8 m copper pipe will expand when heated from 37°C to 173°C, we use the formula for linear thermal expansion, ΔL = αLΔ0ΔT, where ΔL is the change in length, α is the coefficient of linear expansion for copper, LΔ0 is the original length, and ΔT is the change in temperature.
The coefficient of linear expansion for copper is approximately 16.5 x 10^-6 /°C. The change in temperature (ΔT) is 173°C - 37°C = 136°C. Applying the values to the formula:
ΔL = 16.5 x 10^-6 /°C * 8.8 m * 136°C
ΔL = 0.019656 m or 19.656 mm
Therefore, the copper pipe will expand by approximately 19.656 mm when heated from 37°C to 173°C.