The average distance that a molecule travels before colliding with another molecule is called the mean free path and is given by 1 where d is the diameter of the molecule and N, is the number of molecules per unit volume. The number of collisions that a molecule makes with other molecules per unit time, or collision frequency f, is given by f = avg (a) Determine the mean free path (in m) of hydrogen molecules in a tank that has a volume of 12.5 L, a gauge pressure of 110 atm, and a temperature of 20.0°C. The average diameter of hydrogen molecules is 0.740 x 10-10 m. 1.49E-8 m (b) Determine the average time interval (in s) between molecular collisions for a molecule of hydrogen gas. 0.52
The average distance that a molecule travels before colliding with another molecule is called the mean free path and is given by 1 where d is the diameter of the molecule and N, is the number of molecules per unit volume. The number of collisions that a molecule makes with other molecules per unit time, or collision frequency f, is given by f = avg (a) Determine the mean free path (in m) of hydrogen molecules in a tank that has a volume of 12.5 L, a gauge pressure of 110 atm, and a temperature of 20.0°C. The average diameter of hydrogen molecules is 0.740 x 10-10 m. 1.49E-8 m (b) Determine the average time interval (in s) between molecular collisions for a molecule of hydrogen gas. 0.52
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Step 1
Part (a)
Given:
- The volume of tank is .
- The gauge pressure of tank is .
- The temperature of tank is .
- The diameter of molecules is .
The temperature of tank in Kelvin is calculated as,
The formula to calculate the total pressure of tank is,
Here, P is the total pressure, Pa is the atmospheric pressure and Pg is the gauge pressure.
Substitute the known values in the formula to calculate the total pressure of tank.
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