## Calculating final temperature

$\Delta U=q+w$

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Grace Han 2K
Posts: 33
Joined: Tue Nov 15, 2016 3:00 am

### Calculating final temperature

In order to make iced-tea, a 50.0g ice cube at 0.00C is added to 250 ml of tea at 20.0C. What is final temp 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 1.00g/mL over the range of 0-20 C.

n deltaH(fus) + C(water)m (Tf-Ti) = - C(water)m (Tf-Ti)

deltaH(fus) of water is 6.01kJ/mol

6.01kJ/mol + (50g)(4.184J/gC)(Tf-0C)= -250g((4.184J/gC)(Tf-20C)

Is this the correct set-up for this problem?

Jakob von Morgenland 2C
Posts: 31
Joined: Sat Jul 22, 2017 3:00 am
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### Re: Calculating final temperature

Don't forget to multiply your deltaHfus of ice by the amount of moles of ice you have (50/18). Other than that, looks good!

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