## heat capacities

Stephanie tran 1J
Posts: 50
Joined: Fri Sep 29, 2017 7:04 am

### heat capacities

in problems where you need to find the final temperature using the equation, heat lost by ice=- heat gained by water
how do you know whether to use the heat capacity of the ice or the water in the equation?

Matthew Lee 3L
Posts: 51
Joined: Fri Sep 29, 2017 7:07 am

### Re: heat capacities

You would use the heat capacity of the ice for the ice and the heat capacity of the water for the water.

Lily Guo 1D
Posts: 64
Joined: Fri Sep 29, 2017 7:03 am

### Re: heat capacities

The heat capacities for ice and water are different. Therefore, you would use the heat capacity of ice for ice and the heat capacity of water for water.

RohanGupta1G
Posts: 34
Joined: Sat Jul 22, 2017 3:00 am

### Re: heat capacities

As the others said you would set the ice side equal to the water side and use the respective heat capacities in each side.

Austin Ho 1E
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Joined: Fri Sep 29, 2017 7:04 am
Been upvoted: 2 times

### Re: heat capacities

If the ice is not already at 0°C, then you must heat the ice in addition to melting it (using ΔH of fusion). Therefore, we use the specific heat of ice to heat it to 0°C, then we melt it, then we heat the now liquid water using the heat capacity of water. Likewise, with the water, we use its specific heat to find how much temperature drops.

MSkye Goldwater 2K
Posts: 19
Joined: Fri Sep 29, 2017 7:05 am

### Re: heat capacities

The energy gained by the ice is equal to the energy lost by the water. However, if the water has enough energy to heat the ice to 0 degrees C and melt it, then to get the melted ice to the final temperature you will need to use the specific heat of liquid water even though it would be on the same side of the equation as total energy change for the ice.

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