Question

If 0.871 g of a metal thought to be gold uses 1.47 J of energy to heat it from 25.2°C to 38.3 degrees * C . Confirm that the metal is gold. The specific heat of gold is .201J / g Your work must be shown to justify your answer.

Answer 1

Explanation:

Given that,

Mass of metal, m = 0.871 g

Heat, Q = 1.47 J

The temperature increases from 25.2°C to 38.3°C. We know that, heat released is given by :

$Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{1.47}{0.871\times (38.3-25.2)}\\\\c=0.128\ J/g^{\circ} C$

Hence, the metal is made up of gold.