Final answer:
To burn the acetylene, we need to use the balanced chemical equation and calculate the number of moles of acetylene and oxygen. By dividing the number of moles of oxygen by the number of moles of oxygen in a tank, we can determine the number of oxygen tanks required.
Step-by-step explanation:
To determine the number of oxygen tanks required to burn the acetylene, we need to use the balanced chemical equation.
The equation for the combustion of acetylene is 2 C₂H₂ + 5 O₂ → 4 CO₂ + 2 H₂O.
From the balanced equation, we can see that each 2 moles of acetylene require 5 moles of oxygen. Therefore, to burn the acetylene in the given amount, we need:
(Number of moles of acetylene) / 2 = (Number of moles of oxygen) / 5
Using the ideal gas law, we can calculate the number of moles of acetylene and oxygen:
Moles of acetylene = (Volume of acetylene gas) / (Molar volume at STP)
Moles of oxygen = (Volume of oxygen gas) / (Molar volume at STP)
By substituting the given volumes and molar volumes into the equation, we can find the number of moles of acetylene and oxygen. Then, we can determine the number of oxygen tanks required by dividing the number of moles of oxygen by the number of moles of oxygen in a tank.