Question

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

Answer 1

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...