Part A Imagine that you have a 6.50 L gas tank and a 3.50 L gas tank. You need to fill one tank with oxygen and the other with acetylene to use in conjunction with your welding torch. If you fill the larger tank with oxygen to a pressure of 155 atm, to what pressure should you fill the acetylene tank to ensure that you run out of each gas at the same time? Assume ideal behavior for all gases.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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### Understanding Combustion Reactions and Gas Behavior

Acetylene torches are used for welding due to their ability to produce intense heat. These torches operate by utilizing a mixture of acetylene gas (\(C_2H_2\)) and oxygen gas (\(O_2\)). When these gases react, they undergo a combustion reaction, as shown in the equation below:

\[ 2C_2H_2(g) + 5O_2(g) \rightarrow 4CO_2(g) + 2H_2O(g) \]

### Problem Statement (Part A)

Imagine that you have a 6.50 L gas tank and a 3.50 L gas tank. You need to fill one tank with oxygen and the other with acetylene to use in conjunction with your welding torch. If you fill the larger tank with oxygen to a pressure of 155 atm, to what pressure should you fill the acetylene tank to ensure that you run out of each gas at the same time? Assume ideal behavior for all gases.

**Express your answer with the appropriate units.**

**User Attempt:**

- Input: \(403 \, \text{atm}\)
- Result: 
  - Status: Incorrect
  - Feedback: 3 attempts remaining

### Explanation of Graphs and Diagrams

In this particular problem, there are no specific graphs or diagrams provided. The visual interface shows the user input field for answering the question along with an incorrect feedback response from a previous attempt.

### Steps to Solve

1. **Identify the stoichiometric relationship from the combustion reaction:**
   - The reaction shows that 2 moles of \(C_2H_2\) react with 5 moles of \(O_2\).

2. **Volume and Pressure Relationship:**
   - According to the ideal gas law (PV = nRT), the volume and pressure of gases are directly proportional when temperature and the amount (moles) of gas are constant.

3. **Relate the volumes and pressures of gases:**
   - Let the number of moles \(n\) of \(C_2H_2\) and \(O_2\) be related by the volumes and pressures in their respective tanks.

4. **Calculate:**
   - Given:
     \[
     V_1 = 6.50 \, \text{L}, \quad P_1 = 155
Transcribed Image Text:### Understanding Combustion Reactions and Gas Behavior Acetylene torches are used for welding due to their ability to produce intense heat. These torches operate by utilizing a mixture of acetylene gas (\(C_2H_2\)) and oxygen gas (\(O_2\)). When these gases react, they undergo a combustion reaction, as shown in the equation below: \[ 2C_2H_2(g) + 5O_2(g) \rightarrow 4CO_2(g) + 2H_2O(g) \] ### Problem Statement (Part A) Imagine that you have a 6.50 L gas tank and a 3.50 L gas tank. You need to fill one tank with oxygen and the other with acetylene to use in conjunction with your welding torch. If you fill the larger tank with oxygen to a pressure of 155 atm, to what pressure should you fill the acetylene tank to ensure that you run out of each gas at the same time? Assume ideal behavior for all gases. **Express your answer with the appropriate units.** **User Attempt:** - Input: \(403 \, \text{atm}\) - Result: - Status: Incorrect - Feedback: 3 attempts remaining ### Explanation of Graphs and Diagrams In this particular problem, there are no specific graphs or diagrams provided. The visual interface shows the user input field for answering the question along with an incorrect feedback response from a previous attempt. ### Steps to Solve 1. **Identify the stoichiometric relationship from the combustion reaction:** - The reaction shows that 2 moles of \(C_2H_2\) react with 5 moles of \(O_2\). 2. **Volume and Pressure Relationship:** - According to the ideal gas law (PV = nRT), the volume and pressure of gases are directly proportional when temperature and the amount (moles) of gas are constant. 3. **Relate the volumes and pressures of gases:** - Let the number of moles \(n\) of \(C_2H_2\) and \(O_2\) be related by the volumes and pressures in their respective tanks. 4. **Calculate:** - Given: \[ V_1 = 6.50 \, \text{L}, \quad P_1 = 155
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