An aluminum rod 17.400 cm long at 20°C is heated to 100°C.What is its new length? Aluminum has a linear expansion coefficient of 25 × 10^-6 K^-1.

Question

Quizplus · Accepted Answer

Using the formula ΔL = αLΔT where ΔL is the change in length, α is the linear expansion coefficient, L is the original length, and ΔT is the change in temperature, we can calculate the change in length as follows: ΔL = (25 × 10^-6 /°C)(17.400 cm)(100°C - 20°C) = 0.3495 cm. The new length is therefore 17.400 cm + 0.3495 cm = 17.435 cm, which is closest to option A.

An Aluminum Rod 17