Suppose mary would like to design an emergency overheating alarm using one of these materials. in her design, at room temperature (23.0 ∘c)(23.0 ∘c) , a 6.01 cm6.01 cm long cylinder of the material will sit with one end against a wall and the other just barely touching a button. once the heat causes the cylinder to lengthen by 0.0273 cm0.0273 cm , the button will be activated, turning on the alarm. a) at what temperature will the alarm be triggered if the cylinder is made out of polycarbonate? degrees c
b) at what temperature will the alarm be triggered if the cylinder is made out of cast iron? degrees c

A. 92.88 °C

B. 401.535 °C

Explanation:

So, the overheating system is going to be based on the principle of thermal linear expansion. The behavior of this principle is ruled by the equation:

∆L= L_i * ∆T * α  

Where α is a coefficient of linear expansion. For a cylinder made from polycarbonate α = 70,2*10^(-6)  °C^(-1) and for a cylinder made from cast iron α = 12*10^(-6)  °C^(-1). If we isolate the term of the temperature’s difference, we have:

∆L/(L_i * α) = ∆T → T_f = T_i + ∆L/(L_i * α)

Replacing the values, for the case of the Polycarbonate we have:

T_f = T_i + ∆L/(L_i * α) = 23°C+0,0273cm/(6,01cm *70,2 * 10^(-6)°C^(-1) ) = 92,88 °C

Replacing the values, for the case of the Cast Iron we have:

T_f = T_i +∆L/(L_i * α) = 23°C + 0,0273cm/(6,01cm * 12 * 10^(-6) °C^(-1) ) = 401,535 °C

As we see, is way better to use the polycarbonate in this application.

Have a nice day. Let me know if I can help you with anything else. :D

the answer is d. 4

hope this

also the more points you give the faster your questions get answered

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.