Calculate the average kinetic energy of 1 mol of hydrogen molecules and of 1 mol of sulfur hexafluoride molecules at 25 degrees Celsius.
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To calculate the average kinetic energy of molecules, we can use the formula:
Average Kinetic Energy = (3/2) * (k * T)
where "k" is the Boltzmann constant and "T" is the temperature in Kelvin.
Step 1: Convert the temperature from Celsius to Kelvin.
The temperature given is 25 degrees Celsius. To convert it to Kelvin, we use the formula:
T (Kelvin) = T (Celsius) + 273.15
So, T (Kelvin) = 25 + 273.15 = 298.15 K.
Step 2: Calculate the average kinetic energy for hydrogen molecules.
Since we are considering 1 mole of hydrogen molecules (H2), we need to use Avogadro's number (6.022 x 10^23) to account for the number of molecules in 1 mole.
Average Kinetic Energy (H2) = (3/2) * (k * T) * N
where N is the Avogadro's number.
Substituting the values:
Average Kinetic Energy (H2) = (3/2) * (1.38 x 10^-23 J/K * 298.15 K) * 6.022 x 10^23
Calculate the result.
Step 3: Calculate the average kinetic energy for sulfur hexafluoride (SF6) molecules.
Repeat the same process as above, but now using the molar mass of sulfur hexafluoride (146.06 g/mol) and Avogadro's number.
Average Kinetic Energy (SF6) = (3/2) * (k * T) * N
Substituting the values:
Average Kinetic Energy (SF6) = (3/2) * (1.38 x 10^-23 J/K * 298.15 K) * 6.022 x 10^23
Calculate the result.
By following these steps, you can calculate the average kinetic energy of 1 mol of hydrogen molecules and 1 mol of sulfur hexafluoride molecules at 25 degrees Celsius.