Question

Se amesteca 2 kg de apa la 60 grd C cu 4 kg de apa la 90 grd C. Care este temperatura de echilibru?

Answer 1

[tex]\displaystyle Se~da:\\ \\ m_1=2kg\\ \\ t_1=60^\circ\\ \\ m_2=4kg\\ \\ t_2=90^\circ\\ \\ t=?^\circ\\ \\ \\[/tex]


[tex]\displaystyle Formule:\\ \\ Q_1=-Q_2\\ \\ c_{apa}\times m_1\times \Delta t_1=-c_{apa}\times m_2\times \Delta t_2\\ \\ m_1\times (t-t_1)=m_2\times (t_2-t)\\ \\ m_1\times t-m_1\times t_1=m_2\times t_2-m_2\times t\\ \\ m_1\times t+m_2\times t=m_2\times t_2+m_1\times t_1\\ \\ t\times(m_1+m_2)=m_2\times t_2+m_1\times t_1\\ \\ t=\frac{m_2\times t_2+m_1\times t_1}{m_1+m_2}\\ \\ \\ Calcule:\\ \\ t=\frac{4\times 90+2\times 60}{2+4}=80^\circ[/tex]