An acetylene-oxygen torch (C2H2/O2) is often used for welding. What must the ratio of flow rates be for the acetylene and oxygen gases to they react completely with each other? The flow rate is measures in L/min.
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Verified answer
let's start by writing a balanced equation...
2 C2H2 + 5 O2 ----> 4 CO2 + 2 H2O
now.. those coefficients can be read as molecule or as mole ratios. But for the special case of gases at the same temperature and pressure, they can also be read as "volume" ratios. Why? because PV = nRT.. V/n = RT/P.. at constant RT/P.. V/n = a constant.. ie.. (V/n) C2H2 = (V/n) O2 ----> nO2 / nC2H2 = VO2 / VC2H2.. get it? mole ratio = volume ratio for ideal gases at constant T and P.
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so what does all that mumbo jumbo mean?
2 moles C2H2 react with 5 moles O2
AND
2 liters C2H2 react with 5 liters O2...
so.. ratio of O2 to C2H2 must be 5:2
2C2H2 + 5O2 ====> 4C02 + 2H20
You could write it lilke this
C2H2 + 2.5 02 =====> 2C02 + H20
That means that 1 mole of C2H2 needs 2.5 moles of 02.
So the flow rate needs to be 1 L C2H2 to 2.5 L per minute.