O 12/10/2015 11:00 PM A 86.8/100 O 12/2/2015, 12:19 PM Gradebook Print Calculato
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O 12/10/2015 11:00 PM A 86.8/100 O 12/2/2015, 12:19 PM Gradebook Print Calculator Periodic Table Question 4 of 17 Map A pling e coefficient of linear expansion for some common materials are listed in Material a (1/ C) ne table to the right. You would like to design an emergency overheating Polycarbonate 7o.2x106 alarm using one of these materials. In your design, at room temperature (23.0°C) a 8.76 cm long cylinder of the material will sit with one end against Aluminum 22.2x106 a wall and the other just barely touching a button. Once the heat causes the cylinder to lengthen by 0.0238 cm, the button will be activated, turning on Brass 18.7x106 the alarm. 16.6x106 Copper At what temperature will the alarm be triggered if the cylinder is made out of aluminum Steel 13.0x106 Cast Iron 10.4x10-6 Number Titanium 8.60x10-6 5.92x106 Glass At what temperature will the alarm be triggered if the cylinder is made out of steel? Number Tools 10 Hint O Previous 8 Give Up & View solution Check Answer Next ExtExplanation / Answer
Use equation,
L = L**T
L = L**(Tf - Ti)
For aluminum,
L = 0.0238cm , L = 8.76cm , Ti = 23 , = 22.2*10^-6
L = L**(Tf - Ti)
0.0238 = 8.76* 22.2*10^-6*(Tf - 23) => Tf = 145.4 C
For Steel,
L = 0.0238cm , L = 8.76cm , Ti = 23 , = 13.0*10^-6
L = L**(Tf - Ti)
0.0238 = 8.76* 13.0*10^-6*(Tf - 23) => Tf = 224 C
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