Corban E. answered 12/02/21
AP Chemistry Tutor and Former Teacher (Gen Chem, IB, O-Level, A-Level)
Mass of cold water: 50.0
Temp of cold water: 21.6
Mass of hot water: 49.5
Temp of hot water : 50.7
Temp of mixed water: 38.2 (Final temp for both samples)
specific heat of liquid water = 4.184 J/gC
q=CcalΔT+mwatercwaterΔT
-CcalΔT+mwatercwaterΔT=+CcalΔT+mwatercwaterΔT
negative value for initially hot water, because it will cool down and is therefore exothermic (negative q)
substitute the values, where Ccal=x
x(38.2-50.7)+49.5(4.184)(38.2-50.7)=x(38.2-21.6)+50.0(4.184)(38.2-21.6)
solve for x
should be:
x≈-1478.43
which is probably Ccal=1478.43 J/oC,
so, 1.47843 kJ/oC
**edit: had a typo initially in wolfram alpha, fixed now