Question #269532

6.5 kg chunk of ice at -120C is placed in a 0.22 kg of water at 220C. Ignore any heat flow with the surroundings, including the container, assume the final mixture is ice. Determine the following; 

heat lost or gained by water    


1
Expert's answer
2021-11-21T17:31:51-0500

cicemice(ttice)=cwatermwater(t1t2)+λmwater+cicemwater(ttice)c_{ice}m_{ice}(t-t_{ice})=c_{water}m_{water}(t_1-t_2)+\lambda m_{water}+c_{ice}m_{water}(t-t_{ice})


21406.5(t(12))=42000.22(220)+3335000.22+21400.22(0t)2140\cdot 6.5\cdot (t-(-12))=4200\cdot 0.22\cdot(22-0)+333500\cdot 0.22+2140\cdot 0.22\cdot(0-t)


So, we get t=5.1°Ct=-5.1°C .


Q=42000.22(220)+3335000.22+21400.22(0(5.1))=Q=4200\cdot 0.22\cdot(22-0)+333500\cdot 0.22+2140\cdot 0.22\cdot(0-(-5.1))=


=96099.08 (J)=96099.08\ (J) . Answer


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