At the end of the school year, a high school chemistry teacher asks one of the students to stay after school and help clean the storage room. While cleaning, the student finds a rectangular block of metal that is not labeled and is therefore unknown. a) The student wants to identify the metal using density. The student measures each side of the block (using a centimeter ruler) and determines the length is 3.00 cm, height is 5.00 cm, and width is 5.00 cm. The student then takes the mass of the block using an electronic balance and reports the mass as 337.50 g. What is the density of the rectangular block? Make sure to show all work, use significant figures, and end with a unit. b) The student then researches the density of different materials, as seen in the table below. What is the identity of the rectangular block?

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### Determining the Identity of an Unknown Metal Using Density

At the end of the school year, a high school chemistry teacher asks one of the students to stay after school and help clean the storage room. While cleaning, the student finds a rectangular block of metal that is not labeled and is therefore unknown.

#### Problem Statement

**a) Determining Density**
The student wants to identify the metal using density. The student measures each side of the block (using a centimeter ruler) and determines the length is 3.00 cm, height is 5.00 cm, and width is 5.00 cm. The student then takes the mass of the block using an electronic balance and reports the mass as 337.50 g. What is the density of the rectangular block? 

**Steps:**
1. Calculate the volume of the rectangular block.
   \[
   \text{Volume} = \text{length} \times \text{height} \times \text{width}
   \]
   \[
   \text{Volume} = 3.00 \, \text{cm} \times 5.00 \, \text{cm} \times 5.00 \, \text{cm} = 75.0 \, \text{cm}^3
   \]

2. Use the formula for density:
   \[
   \text{Density} = \frac{\text{mass}}{\text{volume}}
   \]
   \[
   \text{Density} = \frac{337.50 \, \text{g}}{75.0 \, \text{cm}^3} = 4.50 \, \text{g/cm}^3
   \]

#### Density Calculation and Result
So, the density of the rectangular block is \( 4.50 \, \text{g/cm}^3 \).

**b) Identifying the Metal**

The student then researches the density of different materials, as seen in the table below. What is the identity of the rectangular block?

| Metal    | Density (g/cm³) |
|----------|-----------------|
| Tantalum | 16.67           |

#### Metal Identification
The calculated density of \( 4.50 \, \text{g/cm}^3 \) does not match the density of tantalum. The block is therefore not tantalum. Further research would be required to
Transcribed Image Text:### Determining the Identity of an Unknown Metal Using Density At the end of the school year, a high school chemistry teacher asks one of the students to stay after school and help clean the storage room. While cleaning, the student finds a rectangular block of metal that is not labeled and is therefore unknown. #### Problem Statement **a) Determining Density** The student wants to identify the metal using density. The student measures each side of the block (using a centimeter ruler) and determines the length is 3.00 cm, height is 5.00 cm, and width is 5.00 cm. The student then takes the mass of the block using an electronic balance and reports the mass as 337.50 g. What is the density of the rectangular block? **Steps:** 1. Calculate the volume of the rectangular block. \[ \text{Volume} = \text{length} \times \text{height} \times \text{width} \] \[ \text{Volume} = 3.00 \, \text{cm} \times 5.00 \, \text{cm} \times 5.00 \, \text{cm} = 75.0 \, \text{cm}^3 \] 2. Use the formula for density: \[ \text{Density} = \frac{\text{mass}}{\text{volume}} \] \[ \text{Density} = \frac{337.50 \, \text{g}}{75.0 \, \text{cm}^3} = 4.50 \, \text{g/cm}^3 \] #### Density Calculation and Result So, the density of the rectangular block is \( 4.50 \, \text{g/cm}^3 \). **b) Identifying the Metal** The student then researches the density of different materials, as seen in the table below. What is the identity of the rectangular block? | Metal | Density (g/cm³) | |----------|-----------------| | Tantalum | 16.67 | #### Metal Identification The calculated density of \( 4.50 \, \text{g/cm}^3 \) does not match the density of tantalum. The block is therefore not tantalum. Further research would be required to
### Identifying Substances Using Physical and Chemical Properties

In a lab setting, identifying substances often requires comparing their properties to known standards. Here is an example of how you can approach this task:

#### Metal Density Data

A table providing density data for two metals is shown below:

| Metal   | Density        |
|---------|----------------|
| Tantalum| 16.67 g/cm³    |
| Titanium| 4.50 g/cm³     |

#### Task Description
A student believes they have determined the identity of a substance. To be certain, more data needs to be collected. Below are instructions to list at least two physical properties and one chemical property, along with how to test these properties in a lab setting.

### Properties to Test and Laboratory Methods

| Type of Property    | Property to Test              | Explanation of How to Test in Lab                    |
|---------------------|-------------------------------|------------------------------------------------------|
| **Physical Property** | Density                        | Measure mass using a balance and volume using water displacement, then calculate density using the formula Density = Mass/Volume. |
| **Physical Property** | Melting Point                  | Heat the substance and measure the temperature at which it changes from solid to liquid using a melting point apparatus.    |
| **Chemical Property** | Reactivity with Acid           | Add a small amount of the metal to a dilute acid, such as hydrochloric acid, and observe any reactions, such as bubbling (gas release). |

Testing these properties will help verify the substance's identity by matching observed data to the known standards.
Transcribed Image Text:### Identifying Substances Using Physical and Chemical Properties In a lab setting, identifying substances often requires comparing their properties to known standards. Here is an example of how you can approach this task: #### Metal Density Data A table providing density data for two metals is shown below: | Metal | Density | |---------|----------------| | Tantalum| 16.67 g/cm³ | | Titanium| 4.50 g/cm³ | #### Task Description A student believes they have determined the identity of a substance. To be certain, more data needs to be collected. Below are instructions to list at least two physical properties and one chemical property, along with how to test these properties in a lab setting. ### Properties to Test and Laboratory Methods | Type of Property | Property to Test | Explanation of How to Test in Lab | |---------------------|-------------------------------|------------------------------------------------------| | **Physical Property** | Density | Measure mass using a balance and volume using water displacement, then calculate density using the formula Density = Mass/Volume. | | **Physical Property** | Melting Point | Heat the substance and measure the temperature at which it changes from solid to liquid using a melting point apparatus. | | **Chemical Property** | Reactivity with Acid | Add a small amount of the metal to a dilute acid, such as hydrochloric acid, and observe any reactions, such as bubbling (gas release). | Testing these properties will help verify the substance's identity by matching observed data to the known standards.
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