A Steel Railroad Expands and Contracts According to the Formula $\alpha = 6.5 \times 10 ^ { - 6 } / { } ^ { 0 } \mathrm {~F}$

question 211

Multiple Choice

A steel railroad expands and contracts according to the formula ?l = l??T, where ?l is the change in length, ? is a constant called the coefficient of linear expansion, l is the original length, and ?T is the change in temperature. If a 10 ft steel rail is installed at 0 ^o F how many inches will it expand when the temperature raises to 180 ^o F? $\alpha = 6.5 \times 10 ^ { - 6 } / { } ^ { 0 } \mathrm {~F}$

• A) ?l = 0.01 in.
• B) ?l = 0.54 in.
• C) ?l = 0.14 in.
• D) ?l = 0.24 in.
• E) ?l = 2.14 in.

---

Definitions:

Reaction

A process in which one or more substances, the reactants, are converted to one or more different substances, the products.

Hydroboration-Oxidation

A two-step chemical reaction that converts alkenes into neutral alcohols via the addition of borane followed by oxidation.

Alkenes

Unsaturated hydrocarbons containing at least one carbon-carbon double bond, with the general formula CnH2n.

Stereochemistry

The study of the three-dimensional arrangement of atoms within molecules and the impact of this arrangement on chemical reactions and properties.