Answered: An unknown metal is suspected to be…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

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

$A m o u n t o f h e a t g a i n e d (Q) = (m) \times (C) \times (∆ t) H e r e, m a s s o f m e t a l (m) = 5.6 g s p e c i f i c h e a t c a p a c i t y o f m e t a l i s C t e m p e r a t u r e i n c r e a s e (∆ t) = 3.9 ° C h e a t g a i n e d (Q) = 2.8 J W e h a v e t o f i n d v a l u e o f s p e c i f i c h e a t i n t h e a b o v e e q u a t i o n a n d t o d e t e r m i n e i f t h e g i v e n m e t a l i s g o l d o r n o t .$

$R e c a l l t h e v a l u e o f s p e c i f i c h e a t c a p a c i t y f o r g o l d i s 0.129 J / g ° C$

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