Test 1 Question 7

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Amanda Mac 1C
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Joined: Fri Sep 29, 2017 7:05 am

Test 1 Question 7

Postby Amanda Mac 1C » Wed Mar 14, 2018 8:36 pm

In order to make iced-tea a 50g ice cube at 0C is added to 500mL of tea at 20C. What is the final temperature of the iced tea once it has reached thermal equilibrium. Assume that no heat is transferred to or from the surroundings. The density of water (and iced tea) is 1g/mL over the range 0C-20C.

Could someone tell me the steps to solve the problem and explain why we do each step? Thank you!

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Joined: Fri Sep 29, 2017 7:04 am

Re: Test 1 Question 7

Postby DianaTrujillo2K » Wed Mar 14, 2018 9:58 pm

The equation to use here is q=mCΔT.
The heat lost by the tea will be transferred to the ice , therefore q(ice)= -q(tea).
However, the ice will melt as it heats up so the ΔH(fusion) of water must be added to the side with the q(ice).
Plug in the values and leaving T(final) as x for both sides.
Solve for x and that will be the T(final).

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