What Pressure Should You Fill the Acetylene Tank For Equal Gas Consumption?

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SUMMARY

The discussion focuses on calculating the pressure required to fill an acetylene tank to ensure equal gas consumption with an oxygen tank in a welding setup. Given a 6.50 L oxygen tank filled to 105 atm, the acetylene tank's pressure must be determined using the Ideal Gas Law (PV = nRT) and Boyle's Law (P1V1 = P2V2). The solution involves calculating the number of moles of oxygen and applying the mole ratio to find the corresponding pressure for acetylene. The assumption of room temperature simplifies the calculations.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV = nRT)
  • Familiarity with Boyle's Law (P1V1 = P2V2)
  • Basic knowledge of gas mixtures and combustion reactions
  • Concept of mole ratios in chemical reactions
NEXT STEPS
  • Calculate the number of moles of oxygen using the Ideal Gas Law
  • Determine the mole ratio from the combustion reaction of acetylene and oxygen
  • Apply Boyle's Law to find the pressure for the acetylene tank
  • Explore the effects of temperature variations on gas pressure calculations
USEFUL FOR

Welders, chemical engineering students, and anyone involved in gas welding applications who needs to understand gas pressure calculations for optimal performance.

sam.
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Homework Statement



Acetylene torches are used for welding. These torches use 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) --> 4CO_2(g) + 2H_2O(g)

Imagine that you have a 6.50 L gas tank and a 4.50 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 105 atm, to what pressure should you fill the acetylene tank to ensure that you run out of each gas at the same time?


Homework Equations



Boyle's Law: P_1V_1 = P_2V_2
Charles Law: V_1/T_1 = V_1/T_1
Ideal Gas Law: PV = nRT

The Attempt at a Solution


Okay, I think that I have to find temperature because then I would be able to sub that into PV = nRT to find the number of moles for oxygen and then using mole ratio I can find the moles of acetylene and then sub that into the ideal gas law to find the pressure for acetylene. But I'm not exactly sure how to calculate temperature. Any help is greatly appreciated!
 
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Assume room temperature.
 

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