Question 380: Thermodynamics & KTG

Question

Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be :(Molecular weight of oxygen is 32g/mol; R = 8.3 J K$$-$$1 mol$$-$$1)

Accepted Answer

$${V_{rms}} = \sqrt {{{3RT} \over M}} $$
$${V_{avg}} = \sqrt {{8 \over \pi }{{RT} \over M}} $$
$${{{V_{rms}}} \over {{V_{avg}}}} = \sqrt {{{3\pi } \over 8}} $$

Answer

$$\sqrt {{{3\pi } \over 8}} $$

Answer

$$\sqrt {{3 \over 3}} $$

Answer

$$\sqrt {{8 \over 3}} $$

Answer

$$\sqrt {{{8\pi } \over 3}} $$

Thermodynamics & KTG

Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be :(Molecular weight of oxygen is 32g/mol; R = 8.3 J K$-1 mol-$1)

Choose the correct answer: