Ms. Aronne put a carafe containing 500.0 mL of wine at 25.5 oC in the refrigerat

Question

Ms. Aronne put a carafe containing 500.0 mL of wine at 25.5 oC in the refrigerator to chill. If the heat transferred was 9.989 x 103 J, what was the final temperature of the wine when she took it out of the refrigerator? (Assume the wine has the same density as water (dwater = 1g/mL) and therefore the same specific heat as water (4.184 J/g oC).)

You are given an unknown metal. You obtain the following data for the unknown metal:The mass is 5.00 kg and when 1.126 x 104 J of heat is added to this sample, (initially at atemperature of 25.50oC) the temperature increases to 31.35oC. Identify the unknownmetal.Metal        Specific Heat (J/g oC)Aluminum 0.902Copper 0.385Gold   0.129Iron   0.450Zinc   0.140Lead   0.132

Explanation / Answer

Q = m c T
Q = quantity of heat in joules (J) = 9.989 x 103 J
m = mass of the substance acting as the environment in
grams (g) = 500 gm
c = specific heat capacity (4.19 for H2O) in J/(g oC)
T = change in temperature = Tfinal - Tinitial in oC = 25.5 - x

9.989 x 103 = 500 x 4.184 x (25.5-X)

9.989 x 103 = 53346 - 2092X

X = 20.72

Hence the final temperature is 20.72 oC

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