When a 310-g piece of iron at 180 ∘C is placed in a 95-g aluminum calorimeter cup containing 250 g of liquid at 10∘C, the final temperature is observed to be 37 ∘C. The value of specific heat for iron is 450 J/kg⋅C∘, and for aluminum is 900 J/kg⋅C∘. Part A Determine the specific heat of the liquid. Express your answer using two significant figures. c c = nothing Jkg⋅C∘ Request Answer
Solution,
Q = m c dT
mI ci Ti = ma ca Ta + mw cw Tw
0.310 x 450 x 143 = 0.095 x 900 x 27 + 0.250 x Cw x 27
Cw = 2613.33 J/kg
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The
value of specific heat for copper is 360 J/kg x C degrees, for
aluminum is 900 J/kg x C degrees, and for water is 4186 J/kg x C
degrees.
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