At thermal equilibrium
qwater=q(Metal)
qwater=cwmw(Tf−Tw)=4.184×30×(Tf−15)qmetal=cm×mm×(Tf−Tm) As we are not give the metal, we can take some metal as an example and show the calculations. Let's take Al
cAl=0.900g×KJ Find final temperature of water
4.184×30×(Tf−15)=−15×0.900×(Tf−250)
125.52×T2−1882.8=−13.5×T2+3375
139.02×Tf=5257.8
Tf=37.8∘C
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