An unknown metal is suspected to be gold. When 2.8 JJ of heat are added to 5.6 gg of the metal, its temperature rises by 3.9 ∘C∘C. Are these data consistent with the metal being gold? yes or no

Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter15: Energy And Chemical Change
Section15.2: Heat
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An unknown metal is suspected to be gold. When 2.8 JJ of heat are added to 5.6 gg of the metal, its temperature rises by 3.9 ∘C∘C.

Are these data consistent with the metal being gold? yes or no

Expert Solution
Step 1

Recall the following relation from law of calorimetry as follows

       Amount of heat gainedQ=m×C×tHere, mass of metalm=5.6 g        specific heat capacity of metal is C        temperature increaset=3.9°C        heat gained(Q)=2.8 JWe have to find value of specific heat in the above equation and to determineif the given metal is gold or not.

Recall the value of specific heat capacity for gold is 0.129 J/g°C

 

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