Question #276864

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.]




1
Expert's answer
2021-12-07T20:11:33-0500

ΔV=(β2β1)V0ΔT,    \Delta V=(\beta_2-\beta_1)V_0\Delta T,\implies

β2=β1+ΔVV0ΔT=83106 °C1.\beta_2=\beta_1+\frac{\Delta V}{V_0\Delta T}=83\cdot 10^{-6}~°C^{-1}.


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