In: Physics
At a certain temperature T1, a (1.8922x10^2) mm rod of a copper-nickel alloy has a resistivity of (2.770x10^1) x 10-8 Ω-m. For pure copper, the resistivity at 0°C is 1.58 x 10-8 Ω-m and the change in resistivity per degree increase in temperature is 6.50 x 10-11 (Ω-m)/°C. The value of A for nickel in copper is 1.18 x 10-6 Ω-m and the coefficient of thermal expansion of this alloy is (1.543x10^1) x 10-6(°C)-1.
If the resistivity of this alloy is dependent only on thermal and
impurity considerations, find the composition of this alloy (in at%
Ni) if the rod increases in length by (3.3120x10^-1) mm when heated
from T1 to (1.86x10^2) °C.