Aconstruction worker uses a steel tape to measure the length of an aluminum support column. if the measured length is 17.700 m when the temperature is 21.2°c, what is the measured length when the temperature rises to 29.4°c? (note: don't neglect the expansion of the steel tape. give your answer to three decimal places.)

To solve this problem it is necessary to apply the concepts related to the thermodynamic linear expansion of bodies. Said expansion can be mathematically encompassed through the expression

Where,

Change in Length

Initial Length

Change in Temperature

Thermal coefficient of linear expansion

Our values are given as

Replacing the values we have that

Therefore the final length will be

Because liquids flow freely, they take the shape of the container they are in, but have a definite volume. Like liquids, the shape of a gas changes with the container. This is because the atoms in a gas move rapidly and freely to fill any available space. Unlike liquids, the volume of a gas changes depending on the container it is in.

Hoped that help :)