The balanced equation is:
C2H4(g) + H2O(g) → C2H5OH(g)
From this equation, we can see that 1 mol of ethylene reacts with 1 mol of water.
Therefore, the moles of ethylene required are equal to the moles of water:
Moles of ethylene = Moles of water = 0.132 mol
Now, we can convert moles of ethylene to grams using its molar mass:
Molar mass of ethylene (C2H4) = 2(12.01 g/mol) + 4(1.008 g/mol) = 28.05 g/mol
Grams of ethylene = Moles of ethylene × Molar mass of ethylene
Grams of ethylene = 0.132 mol × 28.05 g/mol
Grams of ethylene = 3.70 grams (approximately)
Therefore, 3.70 grams of ethylene are needed to react with 0.132 mol of water.