Physics: volume expansion, temperature (thermodynamics?)

Question

Rivets can be cooled before they are put in place, thus when they reach equilibrium temperature
they are more firmly fixed in place.

 

If the volume expansion of iron is 35.0 X 10^-6 K^-1 what difference of temperature is needed to have 7.00 % difference of volume?

Answer 1

V/V0 = 1 + βΔT

 

V/V0 = 1.07

 

β = 35 x 10^-6 K^-1

 

ΔT = (V/V0 - 1) / β = (1.07 - 1) / (35 x 10^-6 K^-1) = 2000 K