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October 16th, 2018, 01:14 PM   #1
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Temperature of water

$\displaystyle 3ml$ water with temperature $\displaystyle T_1=$ 7 degrees Celsius is combined with $\displaystyle 5ml$ water with temperature $\displaystyle T_2=$ 2 degrees Celsius
Find the temperature $\displaystyle T$ of the total water
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October 16th, 2018, 01:59 PM   #2
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I like to think of these problems in terms of heat, which is just some amount of a substance at a temperature. Heat adds.

Here we end up with

$h_i = vol_i \cdot T_i~ml\cdot degC$

$h_{total} =3 \cdot 7 + 5 \cdot 2 =31~ml\cdot degC$

$vol_{total} = 3+5 = 8ml$

$T = \dfrac{h_{total}}{vol_{total}}=\dfrac{31~ml\cdot degC}{8~ml} = \dfrac{31}{8}~degC$
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