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

##### 1 Answer

Feb 11, 2018

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"# constantAccording 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...