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A 45 ml sample of nitrogen gas is cooled from 135 degrees celsius to 15 degrees Celsius in a container that can contract or expand at constant pressure. What is the new volume of nitrogen gas?

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Answer:

32 mL

Explanation:

To answer this question we'll use Charles' law, which relates the temperature and volume of a gas at constant pressure:

V₁T₂=V₂T₁

Now we convert the given temperatures to K:

  • T₁ = 135 °C ⇒ 135 + 273.16 = 408.16 K
  • T₂ = 15 °C ⇒ 15 + 273.16 = 288.16 K

And given that V₁ = 45 mL, we can input the data:

  • 45 mL * 288.16 K = V₂ * 408.16 K

And solve for V₂:

  • V₂ = 32 mL

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