The mean free path for a gas at temperature 300 K and pressure 600 torr is 10 - 7 m . The mean free path of the gas at a temperature 400 K and pressure 200 torr will be

Question

The mean free path for a gas at temperature 300 K and pressure 600 torr is 10 - 7 m . The mean free path of the gas at a temperature 400 K and pressure 200 torr will be, 2 . 5 × 10 - 8 m, 4 . 4 × 10 - 8 m, 3 . 3 × 10 - 8 m, 4 × 10 - 7 m

MARKS App · Accepted Answer

The mean free path in terms of pressure, λ = k T 2 d 2 P , here k is the Boltzmann constant, now make the proper relation between pressure and temperature of the gas, λ 1 λ 2 = k T 1 2 d 2 P 1 k T 2 2 d 2 P 2 = T 1 P 1 T 2 P 2 = T 1 P 2 P 1 T 2 = 300 × 600 400 × 200 ⇒ 10 - 7 λ 2 = 300 × 600 400 × 200 ⇒ λ 2 = 10 - 7 × 8 18 = 4 . 44 × 10 - 8 m

Search any question & find its solution

Looking for more such questions to practice?