Respuesta :

Answer:

206.3cm³

     

Explanation:

Given parameters:

Initial temperature  = 310K

Final volume  = 360cm³

Final temperature  = 541K

Unknown:

Initial volume  = ?

Solution:

To solve this problem we apply the Charles's law which states that "the volume of a fixed mass of a gas varies directly as its absolute temperature if the pressure is constant".

  Mathematically;

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

V and T are volume and temperature

1 and 2 are initial and final states

 Insert the parameters and solve for V₁;

                    [tex]\frac{V_{1} }{310}[/tex]  = [tex]\frac{360}{541}[/tex]  

                    V₁   = 206.3cm³