1. The problem statement, all variables and given/known data A glass bottle of nominal capacity 250 cm3 is filled brim full of water at 20oC. If the bottle and content are heated to 50oC, how much water spills over? (For water, β=0.21X10-3 K-1. Assume that the expansion of the glass is negligible.) 2. Relevant equations (dv/dT)/v = β 3. The attempt at a solution Let vo = 250 cm3, To=20oC, T1 = 50oC, to find: v1-v0 From the equation of coefficient of volume of expansion, dv/v = βdT Integrating both sides, we get: ln(v1) - ln(vo) = 0.21x10-3 *ln(50) - ln(20) => ln(v1) = 5.521 + 0.21x10-3 x ln(5/2) => v1 = 250.048 => Δv = 0.048cm3 However, the answer is 1.6 cm3, what am I doing wrong?