---
title: "A student heats a \\(100.0\\text{ g}\\) sample of a metal with a specific heat capacity of \\(0.418\\text{ J}/(\\text{g}\\cdot^\\circ\\text{C})\\) in a boiling water bath until it reaches a uniform temperature of \\(100.0^\\circ\\text{C}\\). The metal is quickly transferred to an insulated calorimeter containing \\(90.0\\text{ g}\\) of distilled water (specific heat capacity \\(4.18\\text{ J}/(\\text{g}\\cdot^\\circ\\text{C})\\)) at \\(20.0^\\circ\\text{C}\\). Assuming no heat is lost to the calorimeter or the surroundings, what is the final temperature of the system at thermal equilibrium?"
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url: "https://nerd-notes.com/ubq/119697/"
date_modified: "2026-08-21T08:12:05+00:00"
---

# A student heats a \(100.0\text{ g}\) sample of a metal with a specific heat capacity of \(0.418\text{ J}/(\text{g}\cdot^\circ\text{C})\) in a boiling water bath until it reaches a uniform temperature of \(100.0^\circ\text{C}\). The metal is quickly transferred to an insulated calorimeter containing \(90.0\text{ g}\) of distilled water (specific heat capacity \(4.18\text{ J}/(\text{g}\cdot^\circ\text{C})\)) at \(20.0^\circ\text{C}\). Assuming no heat is lost to the calorimeter or the surroundings, what is the final temperature of the system at thermal equilibrium?

A student heats a \(100.0\text{ g}\) sample of a metal with a specific heat capacity of \(0.418\text{ J}/(\text{g}\cdot^\circ\text{C})\) in a boiling water bath until it reaches a uniform temperature of \(100.0^\circ\text{C}\). The metal is quickly transferred to an insulated calorimeter containing \(90.0\text{ g}\) of distilled water (specific heat capacity \(4.18\text{ J}/(\text{g}\cdot^\circ\text{C})\)) at \(20.0^\circ\text{C}\). Assuming no heat is lost to the calorimeter or the surroundings, what is the final temperature of the system at thermal equilibrium?

- **A.** \(28.0^\circ\text{C}\)
- **B.** \(60.0^\circ\text{C}\)
- **C.** \(72.0^\circ\text{C}\)
- **D.** \(92.0^\circ\text{C}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/119697/*