Thermo 1

One 50 g 50\text{ g} ice cube is dropped into 200 g 200\text{ g} of water in a thermally insulated container. If the water is initially at 2 5 C 25 ^\circ C , and the ice comes from directly from a freezer at 1 5 C -15^\circ C . What is the final temperature (in celsius) at thermal equilibrium?


The answer is 2.50.

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1 solution

Prince Loomba
Jul 21, 2016

Lets consider the whole system to be water at 0 degree celsius.

Heat released by water=MC dT= 200/1000×4190×25=20950

Heat absorbed by ice=MC dT+ML=50/1000×2220×15+333000×50÷1000=1665+16650=18315

So we have a total heat of 20950-18315=2635 for a 250 gm water.

So temperature rise= heat/(MC)=2635/((250/1000)×4190)=2.5155 degree celsius.

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