You have 125 g samples of three different metals: A, B, and C. They look alike,

Question

You have 125 g samples of three different metals: A, B, and C. They look alike, so you decide to tell them a using their different specific heats. You input 5.0 kJ of heat to all three metals and their temperatures rise, and your record the data below. Using the specific heats given below, what are the identities of the three metals? C(W) = 0.133 J/g middot degree C C(Sn) = 0.226 J/g middot degree C C(Zn) = 0.389 J/g middot degree C A = Sn, B = Zn, C = W A = Zn, B = W, C = Sn A = W, B = Sn, C = Zn A = Zn, B = Sn C = W

Explanation / Answer

initial temperature is same for all

Also same amount of heat is supplied to each and mass of all is same

lets focus on the formula now:

Q = m*C*(Tf - Ti)

the one with a greater value of C will have lesser value of Tf

C is greatest for Zn and Tfinal is smallest for metal A

so, A is Zn

C is smallest for W and Tfinal is largest for metal C

so, C is W

Hence B is Sn

Answer:

A = Zn, B = Sn, C = W

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