Balloons may contain tiny microscopic holes, which allow the gas particles withi

Question

Balloons may contain tiny microscopic holes, which allow the gas particles within to escape vía effusion Suppose a 4.23 L balloon is filled with 1.207 g of He to a pressure of 1.72 atm. A second balloon is filled with 6.085 g of Ne to the same volume and pressure. O Both effuse at the same rate From which balloon willNot enough information is provided atoms effuse more quickly? O He balloon Ne balloon How many times faster does this gas effuse to that in the Number other balloon? times fas ter f this is applies)?

Explanation / Answer

Looking at the data, it seems that it's missing information about the temperature, however we can calculate that through the ideal gas pressure:

PV = nRT ----->T = PV / nR

Let's calculate the Temperature of both gases:

T1 = 1.42 x 4.23 / (1.207/4) x 0.082 = 242.75 K

T2 = 1.42 x 4.23 / (6.085/20.18) x 0.082 = 242.93 K

v1 = (3RT/PM)1/2 = (3x0.082x242.75/4)1/2 = 3.86

v2 = (3x0.082x242.93/20.18)1/2 = 1.72

According to this result, the He balloon efuses faster than the Ne Balloon.

Now according to this and the rate:

rate1/rate2 = (M1/M2)1/2

rate1/rate2 = (4/20.18)1/2 = 0.4452

rate1 = 0.4452rate2

rate 2 = 1/0.4452 rate1 = 2.2461 rate1

This means that the He gas effuses 2.2461 times faster than Ne gas.

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