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