An unknown metal has a mass of 81.2 g. When 1890 J of eat are added to the sample, the sample temperature changes by 51.8 C. Calculate the specific heat of the unknown metal. specific heat: J/(g. C) What is the possible identity of the metal based on the calculated specific heat? zinc silver iron Metal iron silver gold barium. calcium zinc Specific heat (J/g. C) 0.449 0.240 0.129 0.204 0.650 0.390
Thermochemistry
Thermochemistry can be considered as a branch of thermodynamics that deals with the connections between warmth, work, and various types of energy, formed because of different synthetic and actual cycles. Thermochemistry describes the energy changes that occur as a result of reactions or chemical changes in a substance.
Exergonic Reaction
The term exergonic is derived from the Greek word in which ‘ergon’ means work and exergonic means ‘work outside’. Exergonic reactions releases work energy. Exergonic reactions are different from exothermic reactions, the one that releases only heat energy during the course of the reaction. So, exothermic reaction is one type of exergonic reaction. Exergonic reaction releases work energy in different forms like heat, light or sound. For example, a glow stick releases light making that an exergonic reaction and not an exothermic reaction since no heat is released. Even endothermic reactions at very high temperature are exergonic.
![### Problem Description
An unknown metal has a mass of 81.2 g. When 1890 J of heat are added to the sample, the sample temperature changes by 51.8 °C. Calculate the specific heat of the unknown metal.
### Calculation
- Specific Heat Formula:
\[
\text{Specific heat} = \frac{q}{m \times \Delta T}
\]
where \( q = 1890 \text{ J} \), \( m = 81.2 \text{ g} \), and \( \Delta T = 51.8 \text{ °C} \).
### Table of Specific Heats
| Metal | Specific Heat (J/g·°C) |
|----------|------------------------|
| Iron | 0.449 |
| Silver | 0.240 |
| Gold | 0.129 |
| Barium | 0.204 |
| Calcium | 0.650 |
| Zinc | 0.390 |
### Question
What is the possible identity of the metal based on the calculated specific heat?
- ○ Zinc
- ○ Silver
- ○ Iron
- ○ Gold
**Note:** Compare your calculated specific heat with the values in the table to identify the metal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab88839d-ee2c-473e-8887-aa241f6d89e1%2F98dbbe79-4897-4299-86cc-0cd6ec73e696%2Fbsleug8_processed.jpeg&w=3840&q=75)
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