Specific heat problem finding final temp with calorimeter system

AI Thread Summary
A 34 g block of ice at -75°C is mixed with 562 g of water and an 80 g copper calorimeter at 22°C to find the final temperature. The specific heat values provided are 2090 J/kg·°C for ice, 4186 J/kg·°C for water, and 387 J/kg·°C for copper. The equation used for the energy balance includes the heat gained by the ice, the heat lost by the water, and the heat lost by the copper calorimeter. The initial calculation yielded an incorrect temperature of 134.28°C, prompting a review of the signs for the temperature changes. The correct final temperature was later determined after addressing the sign errors in the calculations.
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Homework Statement



A 34 g block of ice is cooled to -75°C. It is added to 562 g of water in an 80 g copper calorimeter at a temperature of 22°C. Find the final temperature. (The specific heat of copper is 387 J/kg ·°C and the specific heat of ice is 2090 J/kg ·°C. The latent heat of fusion of water 3.33 x 10^5 J/kg and the specific heat of water is 4186 J/kg ·°C.) Answer in units of °C.



Homework Equations



1,000 g= 1 kg

Q= mcdeltaT

Qice + Qlost H20 + Qcopper containter =0

mcdeltaT of ice + mL of ice + Qlost H20 + Qcopper container =0



The Attempt at a Solution



I tried the last equation.

.034(2090) (75) + (.034) (3.33e-9) + (.562)(4186)(Tf-22) + (.08)(387)(Ttf-22)=0

and i got 134.28 C which was wrong. Help!
 
Physics news on Phys.org
Check the signs of the dT
which have heat flowing in and which out
 
i actually just got the answer, but thanks!
 
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