The average speed of a gas molecule is proportional to the square root of its temperature and inversely proportional to the square root of its molar mass. Therefore, we can use the following equation to find the average speed of a CO2 molecule at the same temperature:
v2/v1 = sqrt(M1/M2)
where v1 and v2 are the average speeds of the oxygen and CO2 molecules, respectively, M1 and M2 are the molar masses of oxygen and CO2, respectively.
The molar mass of oxygen (O2) is 32 g/mol, and the molar mass of CO2 is 44 g/mol.
We are given that the average speed of an oxygen molecule is 4.37 × 10^4 cm/s at 25°C. We can convert the temperature to Kelvin by adding 273.15 to get:
T = 25°C + 273.15 = 298.15 K
Now we can solve for v2:
v2 = v1 * sqrt(M1/M2)
v2 = 4.37 × 10^4 cm/s * sqrt(32 g/mol / 44 g/mol)
v2 = 3.67 × 10^4 cm/s
Therefore, the average speed of a CO2 molecule at the same temperature is 3.67 × 10^4 cm/s.