Final answer:
To form 701 L of sulfur hexafluoride gas, 2103 liters of fluorine gas are needed.
Step-by-step explanation:
To determine the number of liters of fluorine gas needed to form 701 L of sulfur hexafluoride gas, we can use the stoichiometry of the reaction:
S(s) + 3F₂(g) → SF6(g)
From the balanced equation, we know that 3 moles of fluorine gas are required to react with 1 mole of sulfur hexafluoride. To convert from moles to liters, we can use the ideal gas law:
1 mole = 22.4 L at STP (Standard Temperature and Pressure)
Therefore, to find the number of liters of fluorine gas needed, we can set up the following proportion:
(3 moles F₂/1 mole SF6) = (x liters F₂/701 L SF6)
By cross-multiplying, we find that:
x liters F₂ = (3 moles F₂/1 mole SF6) * 701 L SF6
x liters F₂ = 2103 L F₂
So, 2103 liters of fluorine gas are needed to form 701 L of sulfur hexafluoride gas.