Tóm tắt:
\(V=1l\Rightarrow m_1=1kg\)
\(m_2=0,5kg\)
\(c_1=4200J/kg.K\)
\(c_2=1800J/kg.K\)
\(t_1=25,5^oC\)
\(\Rightarrow\Delta t_1=t_1-t=25,5-t\left(^oC\right)\)
\(t_2=0^oC\)
\(\Delta t_2=t-t_2=t-0=t\left(^oC\right)\)
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\(t=?^oC\)
Theo phương trình cân bằng nhiệt ta có:
\(Q_1=Q_2\)
\(\Leftrightarrow m_1c_1\left(25,5-t\right)=m_2c_2t\)
\(\Leftrightarrow1\cdot4200\cdot\left(25,5-t\right)=0,5\cdot1800\cdot t\)
\(\Leftrightarrow107100-4200t=900t\)
\(\Leftrightarrow4200t+900t=107100\)
\(\Leftrightarrow5100t=107100\)
\(\Leftrightarrow t=\dfrac{107100}{5100}=21^oC\)
Vậy nhiệt độ khi cân bằng là: \(21^oC\)