Solve Gas Law Problem: Stuck, Need Help

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The discussion revolves around a problem involving changes in pressure and volume of a gas, specifically focusing on the application of gas laws. The initial conditions include a temperature of 288 K and a pressure of 101.23 kPa, with 2% of the volume being water vapor. When the pressure drops to 100.47 kPa, participants explore how to calculate the new volume, noting that the volume change ratio is approximately 1.008. Key points include the clarification that pressure and volume are not directly proportional, referencing Avogadro's law, which states that volume percent correlates to mole percentage, and Dalton's law of partial pressures. One participant calculates a percentage change in pressure but expresses confusion about the relevance of molecular weight in the context of the problem, suggesting that the ideal gas law (PV=nRT) does not depend on mass composition. The discussion concludes with a request for the final answer to be shared once determined.
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I don't seem to be able to get close to any of the choices given.

Here's my work: 288 K = T
P = 101.23 kPa

2% volume = water vapor

Well the next day the pressure changes to 100.47 kPa at the same temperature. The volume changes by 101.23/100.47 = 1.008...

I'm stuck here... Can some one help? Thanks
 

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any idea on how to solve this problem?
 
apchemstudent said:
...

Well the next day the pressure changes to 100.47 kPa at the same temperature. The volume changes by 101.23/100.47 = 1.008...

...


pressure and volume are not directly proportional... perhaps this helps?
 
by avogadro's law the volume percent is equivalent to the mole percentage. In addition the mole percentage is equal to the pressure percentage (by dalton's law of partial pressures). Keep this in mind for the rest of this post.

I got one percent.
[100.47-(101.23-.02(101.23))]/100.47

I'm still not quite sure why they gave the molecular weight of gases in the problem, PV=nRT does not depend on mass composition. It's a colligative property

Once you find the final answer, please be considerate enough to tell the rest of us.
 
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