Final answer:
The temperature of CO2 gas, given an average speed of 750 m/s, is approximately 3750 K.
Step-by-step explanation:
The average speed of molecules in a gas is related to its temperature through the root mean square (RMS) speed formula:
Urms = sqrt(3RT/M)
Here, R is the ideal gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas. Rearranging the formula, we can solve for temperature:
T = (M * Urms^2) / (3R)
For carbon dioxide (CO2) gas with a molar mass of 44.0 g/mol and an average speed of 750 m/s, substituting the values into the equation:
T = (44.0 * (750)^2) / (3 * 8.314)
T ≈ 3768 K
Therefore, the approximate temperature of CO2 gas is 3750 K (option D).