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A gas expands from a volume 2.0 L at 36oC to a volume of 2.5 L, what is the final temperature, if the pressure is constant?

User Bilge
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1 Answer

4 votes

Answer:

386.45 K

Step-by-step explanation:

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

  • V₁T₂=V₂T₁

Where subscript 1 stands for initial conditions of volume and temperature, while 2 stands for the final ones. Meaning that in this case:

  • V₁ = 2.0 L
  • T₂ = ?
  • V₂ = 2.5 L
  • T₁ = 36 °C ⇒ 36 +273.16 = 309.16 K

We input the data:

  • 2.0 L * T₂ = 2.5 L * 309.16 K

And solve for T₂:

  • T₂ = 386.45 K
User Mario Plantosar
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