The gas pressure in an oxygen tank is 3.90 atm at a temperature of 298 K. If the pressure decreases to 3.20 atm, what is the temperature of the gas in kelvin?

Respuesta :

The temperature of the gas will be "244.5 K".

Given values,

  • Initial pressure, P₁ = 3.90 atm
  • Final pressure, P₂ = 3.20 atm
  • Initial temperature, T₁ = 298 K
  • Final temperature, T₂ = ?

By using Gay-Lussac Law, we get

→ [tex]\frac{P_1}{T_1} = \frac{P_2}{T_2}[/tex]

By substituting the values,

 [tex]\frac{3.90}{298} = \frac{3.20}{T_2}[/tex]

The temperature:

  [tex]T_2 = 3.20\times \frac{298}{3.90}[/tex]

      [tex]= \frac{953.6}{3.90}[/tex]

      [tex]= 244.5 \ K[/tex]

Thus the above response is correct.

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