Thank you for the opportunity to help you with your question! the solution is as such:

Root-mean-square speed is the measure of the speed of particles in a gas that is most convenient for problem solving within the kinetic theory of gases. It is defined as the square root of the average
velocity-squared of the molecules in a gas. It is given by the formula

v (r.m.s) = (3kT/ m) ^ 0.5

where k = boltzman constant = 1.38 * 10 ^ - 23 J/K

T is temp in kelvins

and m= mass of a molecule

so for a carbon dioxide molecule to attain escape speed from earth v= 1.12 * 10 ^4 = (3kT/ m) ^ 0.5