Why Doesn't All the Ice Melt When Mixed with Warmer Water?

[quessy]

Homework Statement

a 2kg of ice at -2 deg celsius is mixed with 1.7kg of water at 27 deg celsius

Homework Equations

1. will all the ice melt in water?
2. if all the ice melted in water determine the resulting temperature of the mixture,
if not determine the amount of ice that does not melt

The Attempt at a Solution

the answers are: 1.) not all ice melted in water>> but i do not know why, in the first place i do not know what am i looking for or how to prove it. do i need to solve for the amount of ice that will melt? or the amount of heat required to melt the ice? how?

2.) the answer is 1.35kg. how and why? I'm using the formula Qgain = Qloss, but i think I'm lost right now, 'cause i can't even understand the concept of the question in number 1. pls help me. :(

 

[Borek]

Do you know what heat balance is and how it is calculated?

What happens to the ice (at -2°C) when you put it in a 27°C water?

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