At what temperature will gold have a resistivity that is three times the resisti

Question

At what temperature will gold have a resistivity that is three times the resistivity of iron at room temperature? (Assume room temperature is 20° C.)

Here is a table to help out! Thank you!

Resistivities and Temperature Coefficients of Resistivity for Various Materials Temperature Coefficientb [( °C)-11 3.8 × 10-3 3.9 × 10-3 3.4 × 10-3 3.9 × 10-3 4.5× 10-3 5.0× 10-3 3.92× 10-3 3.9 × 10-3 0.4 × 10-3 0.5 × 10-3 48 × 10-3 75 × 10-3 Resistivitya (2 Material Silver Copper Gold Aluminum Tungsten Iron Platinunm Lead Nichromec Carbon Germanium Silicond Glass Hard rubber Sulfur Quartz (fused) 1.59× 10-8 1.7× 10-8 2.44 × 10-8 2.82 × 10-8 5.6× 10-8 10 × 10-8 11 × 10-8 22 × 10-8 1.00 × 10-6 3.5× 10-5 0.46 2.3 × 103 1010 to 1014 ~1013 1015 75 × 1016 All values at 20°C. All elements in this table are assumed to be free of impurities b See Section 27.4. A nickel-chromium alloy commonly used in heating elements. The resistivity of Nichrome varies with composition and ranges between 1.00 × 10 6 and 1.50 × 10-6 ·m The resistivity of silicon is very sensitive to purity. The value can be changed by several orders of magnitude when it is doped with other atoms.

Explanation / Answer

Three times resistivity of iron = 30 x 10^-8

So, for gold:

R(t)=R(0)(1+alpha*T)

30x10^-8 = 2.44 x 10^-8*(1+alpha*delT)

11.295 = 3.4 x 10^-3 * delT

del T = 3322.08

So , the temp = 3322.08-20 = 3302.08

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