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cww=4200J/kg·C
ms=400g=0,4kg
mw=10kg
Tw=20C
Ts=800C
Tk=?
Qs=ms·cws·(Ts-Tk)
Qw=mw·cww·(Tk-Tw)
Qs=Qw
ms·cws·(Ts-Tk)=mw·cww·(Tk-Tw)
ms·cws·Ts-ms·cws·Tk=mw·cww·Tk-mw·cww·Tw
ms·cws·Ts+mw·cww·Tw=mw·cww·Tk+ms·cws·Tk
ms·cws·Ts+mw·cww·Tw=Tk·(mw·cww+ms·cws)
Tk=(ms·cws·Ts+mw·cww·Tw)/(mw·cww+ms·cws)
TK=(0,4kg·455J/kg·C·800C+10kg·4200J/kg·C·20C)/(10kg·4200J/kg·C+0,4kg·455J/kg·C)
Tk=23,365416528C
Tk=23,4C