October 16th, 2018, 01:14 PM  #1 
Senior Member Joined: Dec 2015 From: iPhone Posts: 387 Thanks: 61  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 
October 16th, 2018, 01:59 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,315 Thanks: 1230 
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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temperature, water 
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