Calculate the root-mean-square velocity of SO3 at 306 K. Express the velocity in meters per second

Answer 1

To calculate the root-mean-square velocity of SO3 at 306 K, we can use the formula:

v = sqrt((3RT)/M)

Where:
v = root-mean-square velocity
R = gas constant = 8.314 J/mol-K
T = temperature in Kelvin = 306 K
M = molar mass of SO3 = 80 g/mol = 0.08 kg/mol

Plugging in the values:

v = sqrt((3 * 8.314 * 306) / 0.08)
v = sqrt(7445.44)
v = 86.3 m/s

Therefore, the root-mean-square velocity of SO3 at 306 K is 86.3 m/s.