Question

The molecular mass of gas X is 320 g/mol. The other gas is neon. What is the

ratio of the speed of neon to that of gas X? (which gas is faster?? Use 20 for

Neon)​

Answer 1

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Explanation:

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Answer 2

Given:  molecular mass of gas X is 320 g/mole

             molecular mass of gas Neon is 20 g/mole.

To find: Ratio of the speed of neon to that of gas X

Step by step Explanation:

Root mean square velocity of any gas depends directly on the square root of the molecular mass of the gas.

It is directly proportional to absolute temperature and pressure.

Let velocity of gas X be $v_{1}$

Let velocity of gas Neon be $v_{2}$

Molecular mass of gas X = $M_{2} = 320 g/mole$

Molecular mass of neon =$M_{2} = 20 g/mole$

Greater the molecular mass of a gas, slower the movement keeping temperature and pressure constant.

v ∝1/$\sqrt{M}$

$\frac{V_{1} }{V_{2} }=\frac{\sqrt{M_{2} } }{\sqrt{M_{1} } } \\\frac{V_{1} }{V_{2} } = \sqrt{\frac{20}{320}} \\\frac{V_{1} }{V_{2} }= 0.25$

The ratio of gas X to gas neon is 0.25

This indicate neon is 25 times faster than gas X.