First of all, hi, and thanks ahead of time... ive been working on this homework for almost a week, even asked the teacher for help but still havent been able to figure out what i've been doing wrong/missing. its online work so ill copy paste it(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

(a) Two 32 g ice cubes are dropped into 170 g of water in a thermally insulated container. If the water is initially at 27°C, and the ice comes directly from a freezer at -13°C, what is the final temperature (in Celsius) at thermal equilibrium? (b) What is the final temperature if only one ice cube is used? The specific heat of water is 4186 J/kg·K. The specific heat of ice is 2220 J/kg·K. The latent heat of fusion is 333 kJ/kg.

2. Relevant equations

Q = cm(delta T)

Q = Lm

where c = specific heat, T = change in temp, m = mass of object, L = heat of fusion/vaporization

3. The attempt at a solution

I have a few questions that are similar but i think if i can solve one, then I'd be able to solve the others... im not gonna paste all my attempts cuz it'd take up 4 pages but ill summarize what i did

basically i know that:

0 = Q1 + Q2 + ... + Qn for all objects, since its in equilibrium/isolated location...

I'm assuming that there being 2 ice cubes, there will be 3 Q's

Q1 = water, cm(delta T) = 4186 * 170g * (Tfinal - 27)

Q2 = ice, cm(delta T) + heat of fusion?? [this part im not sure if im doing right] --- cm(delta T) + Lm = 2220 * 32 * (Tfinal +13) + 333 * 32

Q3 = same as Q2

adding em together and what not, i get:

Tfinal = (18279564 / 782660) = ~20.2ish... all my answers have been between like 20-20.5 for A and about 23 for B, neither of which have been right (there is a +/- 1 degree of error for part B, A must be exact)

Umm i have one more attempt to get the right answer on this one so yea... any help is greatly appreciated. It's due sunday and i have a gig tomorrow and sunday so whatever help i can get as soon as possible would be amazing

thanks again

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# Homework Help: Thermodynamics ice cube problem

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