What is the average kinetic energy of nitrogen molecule at 20°C
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To find the average kinetic energy of a nitrogen molecule at 20°C, you can use the formula for the average kinetic energy of a gas molecule, which is given by the equation:
KE = (3/2) * k * T
Where:
KE is the average kinetic energy
k is the Boltzmann constant (1.38 * 10^-23 J/K)
T is the temperature in Kelvin
First, let's convert the temperature from Celsius to Kelvin. The Kelvin temperature scale is obtained by adding 273.15 to the Celsius temperature. So, to convert 20°C to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 20°C + 273.15 = 293.15 K
Now, we can substitute the values into the formula to calculate the average kinetic energy:
KE = (3/2) * k * T
KE = (3/2) * (1.38 * 10^-23 J/K) * (293.15 K)
Calculating this expression will give us the average kinetic energy of a nitrogen molecule at 20°C.
KE= 5/2 * kb*temperaturein K
Boltzmans constant kb is 1.38*10-20