Tóm tắt :
m1 = 300 g
m2 = 1 kg = 1000 g
m3 = 400 g
m4 = 400 g
c1 = 380 J/kg.K
c2 = c4 = 4200 J/kg.K
c3 = 880 J/kg.K
\(\Delta t_1=\Delta t_2=t-20\)
\(\Delta t_3=110-t\)
\(\Delta t_4=80-t\)
\(t=?\)
Ta có phương trình cân bằng nhiệt
\(Q_{tỏa}=Q_{thu}\)
\(\Rightarrow Q_1+Q_2=Q_3+Q_4\)
\(\Rightarrow m_1.c_1.\Delta t_1+m_2.c_2.\Delta t_2=m_3.c_3.\Delta t_3+m_4.c_4.\Delta t_4\)
\(\Rightarrow300.380.\left(t-20\right)+1000.4200.\left(t-20\right)=400.880.\left(100-t\right)+400.4200.\left(80-t\right)\)
\(\Rightarrow4314000.\left(t-20\right)=2032000.\left(100-t\right)\left(80-t\right)\)
\(\Rightarrow t\approx74,5^oC\)