Thank You OCHEMICAL REACTIONS Finding the equilibrlum temperature when substance

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OCHEMICAL REACTIONS Finding the equilibrlum temperature when substances at differen A 50.0 g sample of aluminum, which has a specific heat capacity of 0.897 Jg ·°C , is dropped into an insulated container containing 150.0 g of water at 90.0 °C and a constant pressure of 1 atm. The initial temperature of the aluminum is 2.7?C Assuming no heat is absorbed from or by the container, or the surroundings, calculate the equilibrium temperature of the water. Be sure your answer has the correct number of significant digits oC x10

Explanation / Answer

Let us denote Al by symbol 1 and water by symbol 2
m1 = 50.0 g
T1 = 2.7 oC
C1 = 0.897 J/goC
m2 = 150.0 g
T2 = 90.0 oC
C2 = 4.184 J/goC
T = to be calculated

Let the final temperature be T oC
we have below equation to be used:
heat lost by 2 = heat gained by 1
m2*C2*(T2-T) = m1*C1*(T-T1)
150.0*4.184*(90.0-T) = 50.0*0.897*(T-2.7)
627.6*(90.0-T) = 44.85*(T-2.7)
56484 - 627.6*T = 44.85*T - 121.095
T= 84.2 oC
Answer: 84.2 oC

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