Question

To make Brass, a block of copper , mass 5 kg, is melted at an initial...

To make Brass, a block of copper , mass 5 kg, is melted at an initial temperature of 1,132 C, and mixed with liquid Zinc, mass 1 kg , at an initial temperature 432 C. What is the final temperature? Spec. heat of Copper and Zinc : c = 387

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Answer #1

Solution:

Given:

mass of the copper block (mcopper) = 5 kg

mass of the zinc (mzinc) = 1 kg

Initial temperature of copper is T = 1132℃

Initial temperature of zinc is t = 432 ℃

Specific heat of copper and zinc is C = 387 J / kg ℃

Final temperature of the mixture be: Tf

Here, Heat lost by copper = Heat gained by zinc

  mcopper C ∆T = mzinc C ∆T

(5 kg)(387 J/kg℃)( 1132 - Tf ) = (1 kg)(387 J/kg℃)(Tf - 432)

5660 - 5Tf = Tf - 432

6 Tf = 6092

Tf = 1015.33 ℃

Therefore: final temperature of the mixture is : 1015.33 ℃.

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