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`I am holding a balloon containing 439 mL of gas over my fireplace. The temperature and pressure of the gas inside the balloon is 317.15 K and 0.959 atm, respectively. Suppose I don't want the pressure to change, but I want to the volume to go down to 0.378 L. What is the temperature that I need to reach when I cool down the balloon?

Respuesta :

dsdrajlin

Answer:

273 K

Explanation:

  • Initial volume (V₁): 439 mL = 0.439 L
  • Initial temperature (T₁): 317.15 K
  • Final volume (V₂): 0.378 L
  • Final temperature (T₂): ?
  • Constant pressure: 0.959 atm

We can find the final temperature using Charles' law.

V₁/T₁ = V₂/T₂

T₂ = V₂ × T₁ / V₁

T₂ = 0.378 L × 317.15 K / 0.439 L

T₂ = 273 K

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