Acetylene torches are used for welding. These torches use a mixture of acetylene gas, C₂H₂, and oxygen gas, O₂ to produce the following combustion reaction: 2C₂ H₂(g) +502(g)-4CO2(g) + 2H₂O(g) Part A Imagine that you have a 5.50 L gas tank and a 2.00 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.
Ideal and Real Gases
Ideal gases obey conditions of the general gas laws under all states of pressure and temperature. Ideal gases are also named perfect gases. The attributes of ideal gases are as follows,
Gas Laws
Gas laws describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. The very first observations about the physical properties of gases was made by Robert Boyle in 1662. Later discoveries were made by Charles, Gay-Lussac, Avogadro, and others. Eventually, these observations were combined to produce the ideal gas law.
Gaseous State
It is well known that matter exists in different forms in our surroundings. There are five known states of matter, such as solids, gases, liquids, plasma and Bose-Einstein condensate. The last two are known newly in the recent days. Thus, the detailed forms of matter studied are solids, gases and liquids. The best example of a substance that is present in different states is water. It is solid ice, gaseous vapor or steam and liquid water depending on the temperature and pressure conditions. This is due to the difference in the intermolecular forces and distances. The occurrence of three different phases is due to the difference in the two major forces, the force which tends to tightly hold molecules i.e., forces of attraction and the disruptive forces obtained from the thermal energy of molecules.
![**Acetylene Torches and Gas Combustion: Educational Insight**
Acetylene torches are commonly used in welding applications. These torches utilize a mixture of acetylene gas (\(C_2H_2\)) and oxygen gas (\(O_2\)) to produce the following combustion reaction:
\[ 2C_2H_2(g) + 5O_2(g) \rightarrow 4CO_2(g) + 2H_2O(g) \]
**Problem Scenario:**
*Part A*
You have a \(5.50 \, L\) gas tank and a \(2.00 \, L\) gas tank. The task is to fill one tank with oxygen and the other with acetylene for your welding torch. If the larger tank is filled with oxygen at a pressure of \(155 \, \text{atm}\), determine the pressure at which to fill the acetylene tank to ensure both gases run out simultaneously. Assume ideal gas behavior for simplification.
**Instructions:**
1. **Calculation Required:** Find the pressure \(P\) for the acetylene tank.
2. **Answer Format:** Express your answer with appropriate units.
**Hint:** Consider the stoichiometry of the reaction and the ideal gas law to find your solution.
**Interaction:**
Enter your calculation into the fields provided:
- \(P =\) [Value] [Units]
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