Final answer:
To determine the ratios of the mean speeds, you need to understand the distribution of molecular speeds. Calculate the ratio of the number of molecules near the given speeds using the distribution function for velocity or energy.
Step-by-step explanation:
To determine the ratios of the mean speeds, you need to understand the distribution of molecular speeds. Firstly, determine whether you need the distribution function for velocity or energy.
Then, calculate the ratio of the number of molecules near the given speeds. For example, in a sample of nitrogen at a temperature of 27 °C, you can find the ratio of the number of molecules with a speed close to 300 m/s to the number with a speed close to 100 m/s.