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shtirl [24]
3 years ago
6

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?
To what temperature (in Celsius) must the balloon be cooled to reduce its volume to 0.378 L if the pressure doesn't change (remained constant)?
Chemistry
1 answer:
Talja [164]3 years ago
5 0

Answer:

-0.08 °C

Explanation:

We can solve this problem by using <em>Charles' law</em>, which states that at constant pressure:

  • V₁T₂ = V₂T₁

Where in this case:

  • V₁ = 439 mL
  • T₂ = ?
  • V₂ = 0.378 L ⇒ 0.378 * 1000 = 378 mL
  • T₁ = 317.15 K

We <u>input the data</u>:

  • 439 mL * T₂ = 378 mL * 317.15 K

And <u>solve for T₂</u>:

  • T₂ = 273.08 K

Finally we <u>convert 273.08 K to Celsius</u>:

  • 273.08 K - 273.16 = -0.08 °C
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