christian2280 christian2280
  • 07-05-2020
  • Chemistry
contestada

What would the pressure be if 2.80atm of air is put into a 15.6L fixed volume cylinder and heated from 285K to 396K?

Respuesta :

dsdrajlin
dsdrajlin dsdrajlin
  • 08-05-2020

Answer:

3.89 atm

Explanation:

Given data

  • Initial pressure (P₁): 2.80 atm
  • Initial temperature (T₁): 285 K
  • Initial volume (V₁): 15.6 L
  • Final pressure (P₂): ?
  • Final temperature (T₂): 396 K
  • Final volume (V₂): 15.6 L (=V₁)

If we treat air as an ideal gas, we can calculate the final pressure using the Gay-Lussac's law.

[tex]\frac{P_1}{T_1} = \frac{P_2}{T_2}\\P_2 = \frac{P_1 \times T_2 }{T_1} = \frac{2.80atm \times 396K }{285K}\\P_2 = 3.89 atm[/tex]

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