Sepotong es bersuhu -10'C dimasukkan ke dalam 3 kg air yg bersuhu 20'C . Berapakah massa es jika suhu campuran 5.0'C?
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Pertanyaan
Sepotong es bersuhu -10'C dimasukkan ke dalam 3 kg air yg bersuhu 20'C . Berapakah massa es jika suhu campuran 5.0'C?
1 Jawaban
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1. Jawaban Anonyme
[tex]\displaystyle T_1=-10\,^\circ\text{C}\\T_2=20\,^\circ\text{C}\\T=5\,^\circ\text{C}\\m_a=3\,\text{kg}\\c_e=2100\,\text{J/kg}^\circ\text{C}\\c_a=4200\,\text{J/kg}^\circ\text{C}\\L_e=336000\,\text{J/kg}\\\\m_e=?\\\\Q=Q\\m_ec_e\Delta T+m_eL+m_ec_a\Delta T=m_ac_a\Delta T\\m_e\cdot2100(0+10)+m_e\cdot336000+m_e\cdot4200(5-0)=3\cdot4200(20-5)\\2100m_e+336000m_e+2100m_e=45\cdot4200\\4200m_e+336000m_e=45\cdot4200\\m_e+80m_e=45\\81m_e=45\\9m_e=5\\\boxed{\boxed{m_e=\frac59\,\text{kg}}}[/tex]