8.00 L of sulfur hexafluoride gas are heated from 225K to 350K. If the pressure and number of gas particles do not change, what is the new volume after the temperature increase? 1.00 x 103 L 1.02 x 10-4 L 12.4 L 5.14 L

Respuesta :

Answer:

12.4L

Explanation:

Given parameters:

T₁  = 225K

T₂  = 350K

V₁ = 8L

Unknown:

V₂ = ?

Solution:

Since this heating takes place under constant pressure, we can resolve this temperature and volume relationship using Charles's law.

According to this law "the volume of a gas is directly proportional to the temperature provided that pressure is constant".

 Mathematically, we have;

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

Input the parameters and solve for the unknown;

          [tex]\frac{8}{225} = \frac{V_{2} }{350}[/tex]

     V₂   = 12.4L