An unknown solid metal at 150 degrees celsius was placed in 1.00 L of water at 25 degrees celsius. The final temperature of the solid metal in the water was 26.3 degrees celsius. In order to find the specific heat of the metal, what additional information is needed?
An unknown solid metal at 150 degrees celsius was placed in 1.00 L of water at 25 degrees celsius. The final temperature of the solid metal in the water was 26.3 degrees celsius. In order to find the specific heat of the metal, what additional information is needed?
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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An unknown solid metal at 150 degrees celsius was placed in 1.00 L of water at 25 degrees celsius. The final temperature of the solid metal in the water was 26.3 degrees celsius. In order to find the specific heat of the metal, what additional information is needed?
![### Example Science Question for Educational Purposes
**Problem Statement:**
An unknown solid metal at 150°C was placed in 1.00 L of water at 25.0°C. The final temperature of the solid metal in the water was 26.1°C. In order to find the specific heat of the metal, what additional information is needed?
**Options:**
- A) Molar mass of the metal
- B) Mass of the metal
- C) Direction of heat flow
- D) Mass of the water
- E) Energy of reaction
**Explanation of Problem:**
This problem requires the identification of the necessary additional information to calculate the specific heat of an unknown metal. The specific heat capacity (or simply, specific heat) is a measure of the amount of heat required to change the temperature of a unit mass of a substance by one degree Celsius (or Kelvin).
To solve this problem, one must consider the principles of heat transfer between the metal and water, specifically the heat gained or lost, which is given by:
\[ q = mc\Delta T \]
Where:
- \( q \) is the heat added or removed,
- \( m \) is the mass,
- \( c \) is the specific heat,
- \( \Delta T \) is the change in temperature.
**Detail of Graphs or Diagrams:**
There are no graphs or diagrams associated with this question.
### Conclusion:
To determine the specific heat of the metal, the essential additional information required is the **mass of the metal** (Option B). This is because, without knowing the mass, the heat transfer calculation that involves the specific heat cannot be accurately performed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad75d3c3-f925-415c-aa85-2c90219f0688%2Fc8ac2031-dd2c-4185-899b-01716da96425%2Fwqbupjq_processed.png&w=3840&q=75)
Transcribed Image Text:### Example Science Question for Educational Purposes
**Problem Statement:**
An unknown solid metal at 150°C was placed in 1.00 L of water at 25.0°C. The final temperature of the solid metal in the water was 26.1°C. In order to find the specific heat of the metal, what additional information is needed?
**Options:**
- A) Molar mass of the metal
- B) Mass of the metal
- C) Direction of heat flow
- D) Mass of the water
- E) Energy of reaction
**Explanation of Problem:**
This problem requires the identification of the necessary additional information to calculate the specific heat of an unknown metal. The specific heat capacity (or simply, specific heat) is a measure of the amount of heat required to change the temperature of a unit mass of a substance by one degree Celsius (or Kelvin).
To solve this problem, one must consider the principles of heat transfer between the metal and water, specifically the heat gained or lost, which is given by:
\[ q = mc\Delta T \]
Where:
- \( q \) is the heat added or removed,
- \( m \) is the mass,
- \( c \) is the specific heat,
- \( \Delta T \) is the change in temperature.
**Detail of Graphs or Diagrams:**
There are no graphs or diagrams associated with this question.
### Conclusion:
To determine the specific heat of the metal, the essential additional information required is the **mass of the metal** (Option B). This is because, without knowing the mass, the heat transfer calculation that involves the specific heat cannot be accurately performed.
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