Abuilding made with a steel structure is 565 m high on a winter day when the temperature is 0◦f. how much taller is the building when the temperature is 103◦f? the linear expansion coefficient of steel is 1.1 × 10−5 ( ◦c)−1 . answer in units of cm.

To solve this problem we apply the thermodynamic equations of linear expansion in bodies.

Mathematically the change in the length of a body is subject to the mathematical expression

Where,

Initial Length

Thermal expansion coefficient

Change in temperature

Since we have values in different units we proceed to transform the temperature to degrees Celsius so

The coefficient of thermal expansion given is

The initial length would be,

Replacing we have to,

This means that the building will be 35.5cm taller