A 2.0 kg ice cube at 0 oC is placed in 22 kg of water at 25 oC. Determine the final
temperature of the mixture. [Given the specific heat of water, cw is 4186 J/kg oC and the
latent heat of fusion of water, Lf is 3.33 ×105 J/kg]
qm1+cwm1(t−0°)=cwm2(25°−t)→qm_1+c_wm_1(t-0°)=c_wm_2(25°-t)\toqm1+cwm1(t−0°)=cwm2(25°−t)→
t=cwm2⋅25°−qm1cw(m1+m2)=4186⋅22⋅25°−330000⋅24186⋅(2+22)=16.3°Ct=\frac{c_wm_2\cdot25°-qm_1}{c_w(m_1+m_2)}=\frac{4186\cdot 22\cdot25°-330000\cdot 2}{4186\cdot (2+22)}=16.3°Ct=cw(m1+m2)cwm2⋅25°−qm1=4186⋅(2+22)4186⋅22⋅25°−330000⋅2=16.3°C . Answer
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