Final answer:
Fluorine gas (F2) will effuse approximately 0.487 times faster than chlorine gas (Br2).
Step-by-step explanation:
To calculate how much faster fluorine gas (F2) will effuse than chlorine gas (Br2), we can use Graham's law. Graham's law states that the ratio of the effusion rates of two gases is inversely proportional to the square root of their molar masses.
Let's calculate the ratio using the given molar masses:
Ratio = sqrt(molar mass of F2) / sqrt(molar mass of Br2)
Ratio = sqrt(38.0) / sqrt(160)
Ratio = 6.164 / 12.65 = 0.487
Therefore, fluorine gas (F2) will effuse approximately 0.487 times faster than chlorine gas (Br2).