A pipe of length 10.0 m increases in length by 1.5 cm when its temperature is increased by 72°F.What is its coefficient of linear expansion? A)38 × 10−⁶/°C B)75 × 10−⁶/°C C)68 × 10−⁶/°C D)28 × 10−⁶/°C E)47 × 10−⁶/°C

Question

Quizplus · Accepted Answer

First, we need to convert the increase in length from centimeters to meters:

1.5 cm = 0.015 m

Next, we can use the formula for linear expansion:

ΔL = α L ΔT

where ΔL is the change in length, α is the coefficient of linear expansion, L is the original length, and ΔT is the change in temperature.

Plugging in the given values, we get:

0.015 m = α (10.0 m) (72°F)

We need to convert the temperature change to Celsius:

72°F = 40°C

So, we can rearrange the equation and solve for α:

α = 0.015 m / (10.0 m * 40°C)

α ≈ 38 × 10^-6 / °C

Therefore, the correct answer is choice A.

A Pipe of Length 10