Answer to Question #287837 in Physics for Bjkub

Question

A box of material X changes volume from 8.75 m³ to 10.0 m³ , when temperature is raised from 42.0 °C to 144 °C. Mass of the box is 12.0 kg.

(a) Calculate the volume expansion coefficient of the material.

(b) Calculate the change in density of the box, if temperature changes by 248 °C and initial volume is 10.0 m³.

Answer 1

$(a)\space\gamma=\dfrac{V_f-V_i}{V_i\Delta T}=1.4·10^{-3}/\text K.\\\space\\ (b)\space \Delta \rho=\dfrac m{V_f}-\dfrac m{V_i}=-0.17\text{ kg/m}^3.$