Answer to Question #88905 in General Chemistry for Hripsime

Question #88905
15 grams of metal X are heated to 250°C. If it is placed into 30 grams of water at 15°C, what will be the final temperature of the water?
1
Expert's answer
2019-05-01T08:01:09-0400

At thermal equilibrium

qwater=q(Metal)q_{water}=q(Metal)

qwater=cwmw(TfTw)=4.184×30×(Tf15)q_{water}=c_wm_w(T_f-T_w)= 4.184\times30\times (T_f-15)qmetal=cm×mm×(TfTm)q_{metal}=c_m\times m_m\times (T_f-T_m)

As we are not give the metal, we can take some metal as an example and show the calculations. Let's take Al


cAl=0.900Jg×Kc_{Al}= 0.900\frac{J}{g\times K}

Find final temperature of water


4.184×30×(Tf15)=15×0.900×(Tf250)4.184\times 30\times(T_f-15)= -15\times 0.900\times(T_f-250)

125.52×T21882.8=13.5×T2+3375125.52\times T_2-1882.8=-13.5\times T_2+3375

139.02×Tf=5257.8139.02\times T_f= 5257.8

Tf=37.8CT_f= 37.8^\circ C


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