A sample of carbon dioxide gas at a pressure of 891 mm Hg and a temperature of 84 C occupies a volume of 5.61 L. If the gas is cooled at constant pressure to a temperature of 40 C, the volume of the gas will be __ L.

Respuesta :

Answer:

4.92L

Explanation:

Given parameters:

Initial pressure  = 891mmHg

Initial temperature  = 84°C  = 84 + 273  = 357k

Initial volume  = 5.61L

New temperature  = 40°C   = 273 + 40  = 313k

Unknown:

New volume  = ?

Solution:

Since we are dealing with constant pressure condition, we apply charles's law.

It states that the volume of a fixed mass of gas varies directly as its absolute temperature if the pressure is constant.

    Mathematically ;

         [tex]\frac{V1}{T1}[/tex]    = [tex]\frac{V2}{T2}[/tex]  

V1 is the initial volume                     V2 is the new volume

T1 is the initial temperature             T2 is the new temperature

   [tex]\frac{5.61}{357}[/tex]   = [tex]\frac{V2}{313}[/tex]  

           V2  = 4.92L