Question

how much does a standard 100 pvc conduit expand when subjected to a temperature change of 55°f? a. 1.8\ b. 2.2\ c. 2.6\ d. 3.4\

Explanation:

To determine the expansion of PVC conduit, we use the coefficient of linear expansion for PVC. The formula for linear expansion is $\Delta L = \alpha \times L_0 \times \Delta T$, where $\alpha$ (coefficient of linear expansion for PVC) is approximately $3.3\times10^{-5}\,^\circ\text{F}^{-1}$, $L_0 = 100\,\text{ft} = 1200\,\text{in}$, and $\Delta T = 55^\circ\text{F}$.

First, convert the length to inches: $100\,\text{ft} \times 12\,\text{in/ft} = 1200\,\text{in}$. Then calculate the expansion: $\Delta L = 3.3\times10^{-5} \times 1200 \times 55$.

Calculating: $3.3\times10^{-5} \times 1200 = 0.0396$; then $0.0396 \times 55 = 2.178 \approx 2.2\,\text{in}$. This matches option B.

Answer:

B. 2.2"