Answer to Question #341309 in Mechanical Engineering for dads

Question #341309

how many kg of hot water at 80C must me added to cold water at 15C in order to make a 1.5kg mixture at 25C? Neglect heat losses


1
Expert's answer
2022-05-16T17:03:05-0400

Heat balance says

cm1(t3t1)=cm2(t2t3)cm_1(t_3-t_1)=cm_2(t_2-t_3)

m1+m2=mm_1+m_2=m

m1(2515)=m2(8025)m1+m2=1.5m_1(25-15)=m_2(80-25)\\ m_1+m_2=1.5


Solution of this system of equations

m1=1.27kgm2=0.23kgm_1=1.27\:{\rm kg}\\ m_2=0.23\:\rm kg


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