Question

What is the ratio of the velocity of neon (Ne) atoms to the velocity of krypton (Kr) atoms when both gases are at the same temperature?

Answer 1

Answer on the question #50053, Chemistry, Other

Question:

What is the ratio of the velocity of neon (Ne) atoms to the velocity of krypton (Kr) atoms when both gases are at the same temperature?

Answer:

From the kinetic energy formula it can be shown that the speed of the molecules is inversely proportional to the Molar Mass (MM) of the gas:

$$v = \sqrt {\frac {3 RT}{M}}$$

Then, the ratio of the velocities can be derived:

$$\frac {v (N e)}{v (K r)} = \sqrt {\frac {M (K r)}{M (N e)}} = \sqrt {\frac {8 3 . 8}{2 0 . 1 7 9}} = 2. 0 4 \approx 2$$

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