Given, Volume of glass vessel and liquid =Vo Change in temperature =ΔT Linear expansion of glass =αg Volume expansion of liquid =γl Let final volume of glass and liquid be Vg and Vl, then Vg=Vo(1+3αgΔT) Vl=Vo(1+γlΔT) Volume of liquid flowing out. Vl−Vg=Vo(1+γlΔT)−Vo(1+3αgΔT)=VoΔT(γ1−3αg)