The variation of resistance of a conducting metal with temperature is given by
RT=R0(1+α(T2−T1))...(1)
Substitute the values of the known parameters into equation (1) and solve to calculate the required temperature coefficient.
6.8Ω=⇒⇒⇒2Ω×(1+α(80−0)∘C)1+80α=3.480α=2.4α=3×10−2C−1