Question

A copper vessel with volume of exactly hundred metre cube at a temperature of 15 degrees celsius in field with glycerine if the temperature rises to 25 degree Celsius how much glycerine will spill out(given;linear expansivity of copper=16.7×10^-6 c^-1and cubical expansivity of glycerine=5.3×10^-4 c^-1​

Answer 1

Answer:

Initial volume of both the copper vessel and mercury is Vo=100cm3

The coefficient of volume expansion for mercury is γm=1.8×10−4/°C

The coefficient of volume expansion for glass is γg=1.8×10−6/°C

Change in temperature be θ=75−25=50°C

So final volume of of copper vessel is V1=Vo(1+γgθ)=100(1+90×10−6)cm3

and final volume of of mercury is V2=Vo(1+γgθ)=100(1+90×10−4)cm3

Amount overflowed is V2−V−1=100×(90×10−4−90×10−6)=0.89cm3

Hope it's help you ❤