Answer to Question #276864 in Mechanics | Relativity for ggh

Question

3.1 An aluminium tin is filled to the brim with a liquid. The tin’s initial volume at 5.00 °C is 3.5  10−4 m3. The coefficient of volume expansion for aluminium is 69.0  10−6 (C°)−1. When the tin and the liquid are heated to 78.0 °C, 3.6  10−6 m3 of liquid spills over. Calculate the coefficient of volume expansion of the liquid. [HINT: The tin and the liquid are heated so their temperatures change by the same amount.]

Answer 1

$\Delta V=(\beta_2-\beta_1)V_0\Delta T,\implies$

$\beta_2=\beta_1+\frac{\Delta V}{V_0\Delta T}=83\cdot 10^{-6}~°C^{-1}.$