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A 9.0×10−2-kg ice cube at 0.0 ∘C is dropped into a Styrofoam cup holding 0.30 kg...

A 9.0×10−2-kg ice cube at 0.0 ∘C is dropped into a Styrofoam cup holding 0.30 kg of water at 12 ∘C.

Find the final temperature of the system. Assume the cup and the surroundings can be ignored.

Find the amount of ice (if any) remaining.

Find the initial temperature of the water that would be enough to just barely melt all of the ice.

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