At a certain temperature T_1, a (7.3879 Times 10^1) mm rod of a copper alloy con

Question

At a certain temperature T_1, a (7.3879 Times 10^1) mm rod of a copper alloy containing (3.258 Times 10^1) at% Ni has a resistivity of (2.727 Times 10^-7) Ohm-m. For pure copper, the resistivity at 0 degree C is 1.58 Times 10^-8 Ohm-m and the change in resistivity per degree increase in temperature is 6.50 Times 10^-11 (Ohm-m)/degree C The value of A for nickel in copper is 1.18 Times 10^-6 Ohm-m. If the resistivity of this alloy is dependent only on thermal and impurity considerations, find the coefficient of thermal expansion of this alloy (in (deg C)^-1) if the rod increases in length by (1.92 Times 10^-1) mm when heated to (1.564 Times 10^2) degree C. As always, use scientific notation in the form X.YZ Times 10^n.

Explanation / Answer

L = a x L1x(T2-T1)

Where

L = Linear Expansion
L1 = Initial Length
a = Coefficient of Linear Expansion of the Material
T1 = Initial Temperature
T2 = Final Temperature

0.000192 = a x 0.07388 x (429 - 273)

0.000192 = a x 0.07388 x 156

a = 1.66 x10-5 is the coefficient of thermal expansion of the alloy

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.