An aluminum-alloy rod has a length of 10.007 cm at 16.800°C anda length of 10.02

Question

An aluminum-alloy rod has a length of 10.007 cm at 16.800°C anda length of 10.020 cm at the boiling pointof water. (a) What is the length of the rod at thefreezing point of water? (Answer to the nearest 0.001 cm.)
cm

(b) What is the temperature if the length of the rod is10.017 cm?
°C

Section 18-6 ThermalExpansion
(a) What is the length of the rod at thefreezing point of water? (Answer to the nearest 0.001 cm.)
cm

(b) What is the temperature if the length of the rod is10.017 cm?
°C
Section 18-6 ThermalExpansion

Explanation / Answer

a) the coefficient of linear expansion for the alloyis     = L/LT         =10.020cm-10.007cm/10.007cm(1000C-16.800C)         =------- thus for 1000C to 00C L = LT        =(10.020cm)(00C-1000C)        = --------- the length at 00C is therefore L ' = L +L                                                   = (10.020cm + L)                                                   = ------- b) let the temperature be Tx . then from16.800°C to Tx , wehave    L = 10.017cm - 10.007cm = LT =(10.007)T calculate for T thus , Tx =(16.8000C + T)                                       = --------                     

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