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How would you derive the ideal gas law PV= nRT using Avogadros law, Boyles law, and Charles law?

1 Answer
Feb 11, 2018

Answer:

See the answer below...

Explanation:

  • According to Boyle's Law,
    #color(red)(v prop1/p" "#when #" "color(green)(T" & "n# constant.
  • According to Charle's Law,

    #color(red)(v prop T" "#when #" "color(green)(p" "&" "n# constant.

  • According to Avogadro's Law,

    #color(red)(v prop n)" "#when #" "color(green)(p" "&" "T"#constant

According to the theory of variation, We get #color(red)(ul(bar(|color(green)(v prop (nT)/p)|#

We can write this in this form, #color(green)(v=R cdot (nT)/p)=>color(red)(ul(bar(|color(green)(pv=nRT)|##" "#[R=universal gas constant]

Hope it helps...
Thank you...