Respuesta :

Answer:

P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Step-by-step explanation:

Given expression:

     Boyle's law:

             P₁ V₁   = P₂ V₂

Problem is to find P₂;

Solution:

              P₁ V₁   = P₂ V₂

 To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];

         

   P₁ V₁  x   [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂  x  [tex]\frac{1}{V_{2} }[/tex];

     [tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;

              P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]