Question

A brass vat is 18 m long at room temperature (20°C). How much longer is it when it contains boiling water at 1 atm pressure?

_______m

Answer 1

Expansion of solid with increase in tempreture, , is
= L
where L is length of solid, is coefficient of expansion ( for Brass it is 1.9x10^-5 per degC)
At 1 atm presssure, tempreture of boiling water = 100 ^oC, hence = 80 ^oC
= 18*1.9x10^-5*80
        = 0.027 m