Question #266071

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]


1
Expert's answer
2021-11-14T17:09:12-0500

qm1+cwm1(t0°)=cwm2(25°t)qm_1+c_wm_1(t-0°)=c_wm_2(25°-t)\to


t=cwm225°qm1cw(m1+m2)=41862225°33000024186(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°C . Answer




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