Question

An unknown metal increases in length from 10 cm to 10.24 cm. This change happens when the temperature changes from 20°C to 50°C. What is the coefficient of linear expansion of the metal?

Answer 1

To find the coefficient of linear expansion of the metal, use the equation AL = aLAT, where AL is the change in length, a is the coefficient of linear expansion, L is the initial length, and AT is the change in temperature.

Step-by-step explanation:

To find the coefficient of linear expansion of the metal, we can use the equation AL = aLAT, where AL is the change in length, a is the coefficient of linear expansion, L is the initial length, and AT is the change in temperature.In this case, the change in length is 0.24 cm, the initial length is 10 cm, and the change in temperature is 30°C (50°C - 20°C). Substituting these values into the equation, we get AL = (a)(10 cm)(30°C). Solving for a, we find that the coefficient of linear expansion is a = 0.0008/°C.