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
cicemice(t−tice)=cwatermwater(t1−t2)+λmwater+cicemwater(t−tice)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})cicemice(t−tice)=cwatermwater(t1−t2)+λmwater+cicemwater(t−tice)
2140⋅6.5⋅(t−(−12))=4200⋅0.22⋅(22−0)+333500⋅0.22+2140⋅0.22⋅(0−t)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)2140⋅6.5⋅(t−(−12))=4200⋅0.22⋅(22−0)+333500⋅0.22+2140⋅0.22⋅(0−t)
So, we get t=−5.1°Ct=-5.1°Ct=−5.1°C .
Q=4200⋅0.22⋅(22−0)+333500⋅0.22+2140⋅0.22⋅(0−(−5.1))=Q=4200\cdot 0.22\cdot(22-0)+333500\cdot 0.22+2140\cdot 0.22\cdot(0-(-5.1))=Q=4200⋅0.22⋅(22−0)+333500⋅0.22+2140⋅0.22⋅(0−(−5.1))=
=96099.08 (J)=96099.08\ (J)=96099.08 (J) . Answer
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments