How Much Ice Remains When Water and Ice Reach Equilibrium in a Styrofoam Cup?

AI Thread Summary
When ice is added to water in a Styrofoam cup, heat transfer occurs until thermal equilibrium is reached. The warm water will lose heat, causing the ice to absorb energy and melt. The specific heat capacities of water and the latent heat of fusion for ice are crucial in calculating the final mass of ice remaining. The heat lost by the water will equal the heat gained by the ice, allowing for the determination of how much ice remains once equilibrium is achieved. Ultimately, the mass of ice in the cup at equilibrium can be calculated using the principle of conservation of energy.
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A styrofoam cup contains 2.00x10^2 g of water at 21.0°C. A student adds 60.0g of ice at 0°C into this cup. Determine the mass of ice in the cup when the ice-water mixture reaches equilibrium.



Qcold = -Qhot



no idea where to start
 
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Can you try to describe (in words) what will be happening?
 

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