The useful metal manganese can be extracted from the mineral rhodochrosite by a two-step process. In the first step, manganese(II) carbonate and oxygen react to form manganese(IV) oxide and carbon dioxide: 2MnCO3(s) + O₂(g) → 2MnO₂ (s) + 2 CO₂ (g) In the second step, manganese(IV) oxide and aluminum react to form manganese and aluminum oxidide: 3MnO₂ (s) + 4Al(s) 3Mn(s) + 2 A1₂03 (s) 1 Suppose the yield of the first step is 73.% and the yield of the second step is 71.%. Calculate the mass of manganese(II) carbonate required to make 8.0 kg of manganese. Be sure your answer has a unit symbol, if needed, and is rounded to 2 significant digits. 10 S ? 00 X 8昆山圖 Ar M

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### Extraction of Manganese from Rhodochrosite

Manganese is an essential metal that can be extracted from the mineral rhodochrosite through a two-step process. Below, we outline the chemical reactions involved in each step of this extraction process.

#### Step 1: Formation of Manganese(IV) Oxide
In the first step, manganese(II) carbonate (MnCO₃) reacts with oxygen (O₂) to form manganese(IV) oxide (MnO₂) and carbon dioxide (CO₂):

\[ 2 \text{MnCO}_3 (s) + O_2 (g) \rightarrow 2 \text{MnO}_2 (s) + 2 \text{CO}_2 (g) \]

#### Step 2: Formation of Manganese and Aluminum Oxide
In the second step, manganese(IV) oxide (MnO₂) reacts with aluminum (Al) to produce manganese (Mn) and aluminum oxide (Al₂O₃):

\[ 3 \text{MnO}_2 (s) + 4 \text{Al} (s) \rightarrow 3 \text{Mn} (s) + 2 \text{Al}_2\text{O}_3 (s) \]

#### Yield and Calculation
Suppose the yield of the first step is 73.3%, and the yield of the second step is 71.1%. Calculate the mass of manganese(II) carbonate required to produce 8.0 kg of manganese.

It is important to express your answer with a unit symbol and ensure it is rounded to two significant digits.

---

#### Diagram Descriptions

- **Reaction Equations**: The text includes two chemical reaction equations that describe the conversion processes.
- **Interactive Elements**: There are interactive elements such as checkboxes and input fields, indicating a question prompt where users can type or select their answers.

Be sure your response is precise and adheres to the required unit and significant digit format.
Transcribed Image Text:### Extraction of Manganese from Rhodochrosite Manganese is an essential metal that can be extracted from the mineral rhodochrosite through a two-step process. Below, we outline the chemical reactions involved in each step of this extraction process. #### Step 1: Formation of Manganese(IV) Oxide In the first step, manganese(II) carbonate (MnCO₃) reacts with oxygen (O₂) to form manganese(IV) oxide (MnO₂) and carbon dioxide (CO₂): \[ 2 \text{MnCO}_3 (s) + O_2 (g) \rightarrow 2 \text{MnO}_2 (s) + 2 \text{CO}_2 (g) \] #### Step 2: Formation of Manganese and Aluminum Oxide In the second step, manganese(IV) oxide (MnO₂) reacts with aluminum (Al) to produce manganese (Mn) and aluminum oxide (Al₂O₃): \[ 3 \text{MnO}_2 (s) + 4 \text{Al} (s) \rightarrow 3 \text{Mn} (s) + 2 \text{Al}_2\text{O}_3 (s) \] #### Yield and Calculation Suppose the yield of the first step is 73.3%, and the yield of the second step is 71.1%. Calculate the mass of manganese(II) carbonate required to produce 8.0 kg of manganese. It is important to express your answer with a unit symbol and ensure it is rounded to two significant digits. --- #### Diagram Descriptions - **Reaction Equations**: The text includes two chemical reaction equations that describe the conversion processes. - **Interactive Elements**: There are interactive elements such as checkboxes and input fields, indicating a question prompt where users can type or select their answers. Be sure your response is precise and adheres to the required unit and significant digit format.
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