Question

A thin spherical shell of silver has an inner radius of 3.62 x 10-2 m when the temperature is 29.1 °C. The shell is heated to 150 °C. Find the change in the interior volume of the shell.

Answer 1

Given:

inner radius , r=3.62 x 10^-2m

Initial temperature is T1 = 29.1^{o c}

T2 =150^oc

Initial volume,

   V =(4/3)πr³
          =1.98 x 10^-4 m³
     

coefficient of expansion β = 54x10^-6 /^oC

change in volume = Vxβx(T2 - T1)

                              =1.98 x 10^-4 x 54x10^-6 x (150-29.1)
= 1.3 x 10^-6 m³

answered by: anonymous