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Suppose I am at STP and I am dealing with an ideal gas and I have a 22.4L container (with a movable piston attached on top) filled with 1 mol gas. Now, I will try to change the molar volume in two ways:

Way 1

If I increase the pressure exerted on the ideal gas by decreasing the volume of the container, the molar volume will decrease.

Way 2

If I increase the pressure exerted on the ideal gas by injecting 1 mol more gas in the cylinder keeping the volume of the container constant (22.4L), the molar volume will change (I think). I think the molar volume will decrease.

Is my prediction right in way 2? If yes, then why am I not able to apply it here?

If my prediction in way 2 is wrong, could you please tell me why I am wrong?

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    $\begingroup$ It must be a typo in your book $\endgroup$ Dec 6, 2021 at 19:00
  • $\begingroup$ Right? I thought that too, so I saw another book, and the same thing was written. I'm so confused. $\endgroup$ Dec 6, 2021 at 19:02
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    $\begingroup$ Well,,with all due respect to your books, they’re wrong. $\endgroup$ Dec 6, 2021 at 19:15
  • $\begingroup$ Could you share the name of your book and pg number (preferably link though) $\endgroup$ Dec 14, 2021 at 16:07
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    $\begingroup$ I don't do this for reputation points. I do this only to help people. I'm glad my answers were of help to you. $\endgroup$ Dec 17, 2021 at 11:27

1 Answer 1

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Molar volume is defined by: $V_m=M/\rho$. M is molar mass , and $\rho$ is the density.

Molar mass dosent change.

In both cases $\rho$ increases leading to a lower molar volume.

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