Answer to Question #180571 in Physics for Alliah Yurih

Question #180571

0.5 kg of water at 20 degrees C is added to a container of 1 kg of water at 60 degrees C. 

The water is stirred to even out the temperature. What is the final 

temperature of the water? 


1
Expert's answer
2021-04-13T06:29:07-0400

Let TT be the final temperature of the water, T1T_1, m1m_1 the temperature and mass of the water that is added, and T2,m2T_2, m_2 the temperature and mass of the water in the container.

Equation of energy balance is cwm1(TT1)+cwm2(TT2)=0c_w m_1 (T-T_1) + c_w m_2 (T - T_2) = 0, from where T=cwm1T1+cwm2T2cwm1+cwm2=m1T1+m2T2m1+m246.7CT = \frac{c_w m_1 T_1 + c_w m_2 T_2}{c_w m_1 + c_w m_2} = \frac{m_1 T_1 + m_2 T_2}{m_1 + m_2} \approx 46.7 ^{\circ}C


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