Problem

A 90 wt% Cu–10 wt% Ni alloy is known to have an electrical resistivity of 1.90 × 10–7 Ω•m...

A 90 wt% Cu–10 wt% Ni alloy is known to have an electrical resistivity of 1.90 × 10–7 Ω•m at room temperature (25°C). Calculate the composition of a copper–nickel alloy that gives a room-temperature resistivity of 2.5 × 10–7 Ω•m. The room-temperature resistivity of pure copper may be determined from the data in Table 18.1; assume that copper and nickel form a solid solution.

Table 18.1 Room-Temperature Electrical Conductivities for Nine Common Metals and Alloys

Metal

Electrical Conductivity [(Ω•m)–1]

Silver

6.8 × 107

Copper

6.0 × 107

Gold

4.3 × 107

Aluminum

3.8 × 107

Brass (70 Cu–30 Zn)

1.6 × 107

Iron

1.0 × 107

Platinum

0.94 × 107

Plain carbon steel

0.6 × 107

Stainless steel

0.2 × 107

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