Question

Uma panela de cobre tem volume inicial de 1000 cm cubicicos e esta totalmente prrenchida com agua .Apos um esquecimento de 80°C, certa quantidade de agua transborda da panela. Dados: •Coeficiente de dilatacao volumetrica de agua:1,3×10-4 °C-1. •Coeficiente de dilatacao volumetrica do cobre :5,1×10-5 °C-1. Calcule

Answer 1

$\textrm{Dados do exerc\'icio:}\\\\ V_0=1.10^3\ cm^3\\ \Delta T=80\ºC\\ \gamma_L=1,3.10^{-4}\ \ºC^{-1}\\ \gamma_R=5,1.10^{-5}\ \ºC^{-1}\\\\ \mathrm{Calculando\ \gamma_{ap}:}\\\\ \gamma_{ap}=\gamma_L-\gamma_R\ \to\ \gamma_{ap}=1,3.10^{-4}-5,1.10^{-5}\\ \gamma_{ap}=13.10^{-5}-5,1.10^{-5}\ \to\ \gamma{ap}=7,9.10^{-5}\ \ºC^{-1}\\\\ \mathrm{Calculando\ \Delta V:}\\\\ \Delta V=V_0.\gamma_{ap}.\Delta T\ \to\ \Delta V=1.10^3.7,9.10^{-5}.8.10^1\\ \Delta V=63,2.10^{-1}\ \to\ \mathbf{\Delta V=6,32\ cm^3}$