An ideal gas is at a temperature of 40°C and a pressure of 2.00 atmospheres. If the diameter of an N₂ molecule is 0.300 nm, then what is the mean free path of the N₂ molecule in the gas? A) 6.02 × 10^-8 m B) 5.33 × 10^-8 m C) 5.00 × 10^-8 m D) 4.75 × 10^-8 m E) 4.01 × 10^-8 m

Question

Quizplus · Accepted Answer

The mean free path can be calculated using the following formula:

λ = (1/√2) * (1/πd^2 * (P/RT))

where λ is the mean free path, d is the diameter of the molecule, P is the pressure, R is the gas constant, and T is the temperature.

Plugging in the given values, we get:

λ = (1/√2) * (1/π*(0.300 nm)^2 * (2.00 atm)/(0.08206 L*atm/mol*K * (40°C + 273.15) K))

λ = 5.33 × 10^-8 m

Therefore, the best choice is B.

An Ideal Gas Is at a Temperature of 40°C and a Pressure