Final answer:
The gases Cl2, O2, F2, and N2 are arranged in order of increasing average molecular speed at 25°C as Cl2 (slowest), F2, O2, and N2 (fastest), based on their molar masses.
Step-by-step explanation:
To arrange the gases Cl2, O2, F2, and N2 in order of increasing average molecular speed at 25°C, we can use Graham's law of effusion which states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass.
Since all gases at the same temperature have the same average kinetic energy, the gas with the lowest molar mass will have the highest average molecular speed.
The molar mass of Cl2 is 70.9 g/mol, of O2 is 32.0 g/mol, of F2 is 38.0 g/mol, and of N2 is 28.0 g/mol. Therefore, when these gases are listed in order of increasing average molecular speed, it would be Cl2 (slowest), F2, O2, and finally N2 (fastest).