Nitrous oxide, N2O, has been used as a dental anesthetic. Suppose that the average speed of an N2O molecule at 25°C is 433 m/s. (It is actually 379 m/s.) Calculate the kinetic energy (in joules) of an N2O molecule traveling at this speed.
KE = 1/2 mv^2
i don't know. cant help sorry:((
To calculate the kinetic energy of an N2O molecule traveling at a given speed, we can use the formula for kinetic energy:
Kinetic Energy = (1/2) * mass * velocity^2
First, we need to find the mass of an N2O molecule. The molar mass of N2O is 44.01 g/mol. We'll convert this to kg/mol by dividing by 1000:
molar mass of N2O = 44.01 g/mol = 0.04401 kg/mol
Now, we need to convert the molar mass to mass per molecule. This can be done by dividing the molar mass by Avogadro's number (6.022 x 10^23 molecules/mol):
mass per molecule = (0.04401 kg/mol) / (6.022 x 10^23 molecules/mol)
Next, we'll convert the given speed from m/s to km/s:
speed = 433 m/s = 0.433 km/s
Now, we can calculate the kinetic energy using the formula:
Kinetic Energy = (1/2) * mass per molecule * velocity^2
Kinetic Energy = (1/2) * (0.04401 kg/mol) / (6.022 x 10^23 molecules/mol) * (0.433 km/s)^2
Evaluate the expression to find the kinetic energy.