Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
### Question 3

A student was given an unknown metal. The student determined that the mass of the metal was 30.2 g. The student placed the metal in a graduated cylinder filled with 20.00 mL of water. The metal increased the volume of water to 22.90 mL. Calculate the density of the metal and determine the identity of the metal using the table below.


| **Metal** | **Density (g/mL)** |
|-----------|---------------------|
| Lead      | 11.3                |
| Silver    | 10.5                |


#### Explanation:

To determine the density of the unknown metal, use the formula:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

1. **Calculate the volume of the metal:**

   The metal increased the volume of water from 20.00 mL to 22.90 mL. Therefore, the volume of the metal is:

   \[ \text{Volume of the metal} = 22.90 \, \text{mL} - 20.00 \, \text{mL} = 2.90 \, \text{mL} \]

2. **Calculate the density of the metal:**
   
   \[ \text{Density} = \frac{30.2 \, \text{g}}{2.90 \, \text{mL}} = 10.41 \, \text{g/mL} \]

3. **Determine the identity of the metal:**

   Compare the calculated density to the densities provided in the table:

   - Lead: 11.3 g/mL
   - Silver: 10.5 g/mL

   The calculated density of 10.41 g/mL is closer to the density of Silver (10.5 g/mL). Therefore, the unknown metal is likely Silver.
expand button
Transcribed Image Text:### Question 3 A student was given an unknown metal. The student determined that the mass of the metal was 30.2 g. The student placed the metal in a graduated cylinder filled with 20.00 mL of water. The metal increased the volume of water to 22.90 mL. Calculate the density of the metal and determine the identity of the metal using the table below. | **Metal** | **Density (g/mL)** | |-----------|---------------------| | Lead | 11.3 | | Silver | 10.5 | #### Explanation: To determine the density of the unknown metal, use the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] 1. **Calculate the volume of the metal:** The metal increased the volume of water from 20.00 mL to 22.90 mL. Therefore, the volume of the metal is: \[ \text{Volume of the metal} = 22.90 \, \text{mL} - 20.00 \, \text{mL} = 2.90 \, \text{mL} \] 2. **Calculate the density of the metal:** \[ \text{Density} = \frac{30.2 \, \text{g}}{2.90 \, \text{mL}} = 10.41 \, \text{g/mL} \] 3. **Determine the identity of the metal:** Compare the calculated density to the densities provided in the table: - Lead: 11.3 g/mL - Silver: 10.5 g/mL The calculated density of 10.41 g/mL is closer to the density of Silver (10.5 g/mL). Therefore, the unknown metal is likely Silver.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY