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You are walking on a beach and find a mystery piece of metal. You take it back to your lab and measure its mass to be 0.5 kg. In order to heat the metal 1 degree K, you must add 115 J of heat. Identify the metal. q =mCΔT

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MissPhiladelphia
For the given question above, I think there is a choice of answers accompanied with the question. Based on my research, the choices are:
A. Brass
B. Copper
C. Platinum
D. Silver


The answer for the question is option D. Silver.
Specific heat = 15 J / 0.5 kg
                     = 230 J kg-1

Substance                    Specific Heat (J kg-1 K-1)
    Aluminum                       900
   Copper                           390
   Brass                              380
    Silver                              230
   Platinum                         130

Answer:

Metal : silver

Explanation:

It is given that,

Mass of the metal, m = 0.5 kg

Temperature, [tex]\Delta T=1\ ^0\ K[/tex]    

Heat, Q = 115 J

Heat absorbed is given by :

[tex]Q=mc\Delta T[/tex]

[tex]c=\dfrac{Q}{m\Delta T}[/tex]

Where,

c is the specific heat of the metal

[tex]c=\dfrac{115\ J}{0.5\times 1\ ^0K}[/tex]

[tex]c=230\ J/kg\ ^0K[/tex]

The metal having specific heat equals 230 J/kg °K is silver

Hence, this is the required solution.

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