Final answer:
The average speed of carbon dioxide molecules can be calculated using the equation for kinetic energy. The correct temperature at which the average speed of carbon dioxide molecules is 510 m/s is 600 K.
Step-by-step explanation:
The average speed of carbon dioxide molecules can be calculated using the equation for kinetic energy:
KE = 1/2 * (M * u^2)
where KE is the kinetic energy, M is the molar mass of the molecule, and u is the average speed. Rearranging the equation, we can solve for the temperature:
T = (M * u^2) / (3 * R)
where T is the temperature in Kelvin and R is the gas constant. Plugging in the values, we can calculate the temperature:
T = (44.0 g/mol * (510 m/s)^2) / (3 * 8.314 J/(mol*K))
T = 530 K
Therefore, the correct answer is 600 K (option c).