The temperature of a sample of silver increased by 23.4 °C when 273 J of heat was applied. Substance Specific heat J/(g • °C) lead 0.128 What is the mass of the sample? silver 0.235 сорper 0.385 iron 0.449 aluminum 0.903 m = g

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...
icon
Related questions
Question
**Problem Statement:**
The temperature of a sample of silver increased by 23.4 °C when 273 J of heat was applied. What is the mass of the sample?

*m* = [______] g

**Table of Specific Heats:**

| Substance | Specific heat J/(g·°C) |
|-----------|-------------------------|
| Lead      | 0.128                   |
| Silver    | 0.235                   |
| Copper    | 0.385                   |
| Iron      | 0.449                   |
| Aluminum  | 0.903                   |

**Explanation of the Table:**
The table provides specific heat capacities for different substances. Specific heat is a measure of the amount of heat required to change the temperature of one gram of a substance by one degree Celsius. Here, different metals like lead, silver, copper, iron, and aluminum are listed with their respective specific heat values in J/(g·°C).

To solve the problem, use the formula:

\[ Q = m \times c \times \Delta T \]

Where:
- \( Q \) is the heat applied (273 J),
- \( m \) is the mass (unknown),
- \( c \) is the specific heat of silver (0.235 J/(g·°C)),
- \( \Delta T \) is the change in temperature (23.4 °C).

Rearranging the formula to solve for \( m \):

\[ m = \frac{Q}{c \times \Delta T} \]

Substitute the given values to find the mass of the sample.
Transcribed Image Text:**Problem Statement:** The temperature of a sample of silver increased by 23.4 °C when 273 J of heat was applied. What is the mass of the sample? *m* = [______] g **Table of Specific Heats:** | Substance | Specific heat J/(g·°C) | |-----------|-------------------------| | Lead | 0.128 | | Silver | 0.235 | | Copper | 0.385 | | Iron | 0.449 | | Aluminum | 0.903 | **Explanation of the Table:** The table provides specific heat capacities for different substances. Specific heat is a measure of the amount of heat required to change the temperature of one gram of a substance by one degree Celsius. Here, different metals like lead, silver, copper, iron, and aluminum are listed with their respective specific heat values in J/(g·°C). To solve the problem, use the formula: \[ Q = m \times c \times \Delta T \] Where: - \( Q \) is the heat applied (273 J), - \( m \) is the mass (unknown), - \( c \) is the specific heat of silver (0.235 J/(g·°C)), - \( \Delta T \) is the change in temperature (23.4 °C). Rearranging the formula to solve for \( m \): \[ m = \frac{Q}{c \times \Delta T} \] Substitute the given values to find the mass of the sample.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY