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A tank of nitrogen has a volume of 14.0 L and a pressure of 1 atm. Find the volume of the nitrogen when its pressure is changed to 0.8 atm while the temperature is held constant .

Respuesta :

dsdrajlin

Answer:

17.5 L

Explanation:

Step 1: Given data

  • Initial volume of the tank of nitrogen (V₁): 14.0 L
  • Initial pressure of nitrogen (P₁): 1 atm
  • Final volume of the tank of nitrogen (V₂): ?
  • Final pressure of nitrogen (P₂): 0.8 atm

Step 2: Calculate the final volume of the nitrogen

We have a gas that undergoes a change at a constant temperature. If we assume an ideal behavior, we can calculate the final volume of the nitrogen using  Boyle's law.

P₁ × V₁ = P₂ × V₂

V₂ = P₁ × V₁/P₂

V₂ = 1 atm × 14.0 L/0.8 atm = 17.5 L

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