At 20°C what is the average kinetic energy of nitrogen molecule
To find the average kinetic energy of a nitrogen molecule at 20°C, you can use the Kinetic Energy Formula:
KE = (1/2) * m * v^2
where:
KE = kinetic energy
m = mass of the nitrogen molecule
v = velocity of the nitrogen molecule
First, we need to determine the velocity of the nitrogen molecule. We can use the equation for average kinetic energy of gas molecules:
KE_avg = (3/2) * k * T
where:
KE_avg = average kinetic energy of a gas molecule
k = Boltzmann constant (1.380649 x 10^-23 J/K)
T = temperature in Kelvin (20°C = 293.15 K)
Rearranging the equation to solve for v:
v = sqrt((2 * KE_avg) / m)
Now, we can substitute the values into the equation:
v = sqrt((2 * ((3/2) * k * T)) / m)
m = mass of a nitrogen molecule = 2 * atomic mass unit (1 atomic mass unit = 1.66053906660 x 10^-27 kg)
v = sqrt((2 * ((3/2) * (1.380649 x 10^-23 J/K) * 293.15 K)) / (2 * 1.66053906660 x 10^-27 kg))
After substituting and simplifying, we can find the value of v. Once we have the value of v, we can substitute it back into the original kinetic energy formula to find the average kinetic energy of a nitrogen molecule at 20°C.