Answer:
To calculate the root mean square speeds of N2, O2, and O3 molecules in the stratosphere, we need to use the formula vrms = (3RT/M)^1/2, where vrms is the root mean square speed, R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas.
First, we need to convert the temperature in Celsius to Kelvin by adding 273.15 to the temperature in Celsius. This gives us a temperature of -25.0 + 273.15 = 248.15 K.
Next, we need to calculate the root mean square speeds of N2, O2, and O3 molecules. The molar masses of these gases are 28.0134 g/mol for N2, 31.9988 g/mol for O2, and 48.0027 g/mol for O3. Using the formula above, we get the following root mean square speeds:
N2: vrms = (3 * 8.3145 * 248.15 / 28.0134)^1/2 = 446.8 m/s
O2: vrms = (3 * 8.3145 * 248.15 / 31.9988)^1/2 = 402.4 m/s
O3: vrms = (3 * 8.3145 * 248.15 / 48.0027)^1/2 = 303.1 m/s
Therefore, the root mean square speeds of N2, O2, and O3 molecules in the stratosphere at a temperature of -25.0C are 446.8 m/s, 402.4 m/s, and 303.1 m/s, respectively.