ideal gas law - pressure and mass question

From	Christopher Howard <christopher@librehacker.com>
Newsgroups	sci.physics
Subject	ideal gas law - pressure and mass question
Date	2026-04-17 11:39 -0800
Organization	A noiseless patient Spider
Message-ID	<87a4v1wf3o.fsf@librehacker.com> (permalink)

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Hi, I tried to work something out on paper, but the result seems
counter-intuitive, so I'm wondering if my mathematical formulation is
wrong, or just my understanding of the concepts.

Assume we have pumped some mass of an ideal gas into a very strong
container, i.e., no change in volume possible. And assume the container
is such a good heat insulator that loss of heat to the environment is
negligible. But say that we are able to add heat to the container, maybe
through an electric heating element inside.

And lets say I apply a steady amount of heat transfer, say 80 watts. The
pressure will increase. My question: will the rate of pressure change,
over time, be dependent on how great a mass of gas I have originally
pumped into the container? I.e., will my pressure gauge needle swing
more slowly if I have 10 kg of the gas in there, as opposed to 1 kg?

I've been assuming also that the specific heat of the gas remains the
same throughout the whole process, which I believe is a justifiable
assumption under practical circumstances (...?)

-- 
Christopher Howard

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ideal gas law - pressure and mass question Christopher Howard <christopher@librehacker.com> - 2026-04-17 11:39 -0800
  Re: ideal gas law - pressure and mass question Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-04-17 23:51 +0200
    Re: ideal gas law - pressure and mass question Christopher Howard <christopher@librehacker.com> - 2026-04-18 08:45 -0800
      Re: ideal gas law - pressure and mass question John Hasler <john@sugarbit.com> - 2026-04-18 14:02 -0500
      Re: ideal gas law - pressure and mass question ram@zedat.fu-berlin.de (Stefan Ram) - 2026-04-18 19:40 +0000
        Re: ideal gas law - pressure and mass question John Hasler <john@sugarbit.com> - 2026-04-18 15:29 -0500
        Re: ideal gas law - pressure and mass question ram@zedat.fu-berlin.de (Stefan Ram) - 2026-04-18 21:49 +0000
  Re: ideal gas law - pressure and mass question John Hasler <john@sugarbit.com> - 2026-04-17 16:22 -0500

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