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Aerosol cans have a label that warns the user not to use them above a certain temperature and not to dispose of them by incineration. Even an empty can contains residual gaseous propellant. For example, the residual pressure in a can is 1.11 atm when it is sitting on a shelf at 23 ∘C. If the can is placed on top of the furnace where the temperature reaches the boiling point of water, what is the pressure inside the can?

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Answer:

1.40 atm

Explanation:

To answer this question we can use Gay-Lussac's law, which states:

  • P₁T₂=P₂T₁

When volume and number of moles remain constant.

  • P₁ = 1.11 atm
  • T₁ = 23°C ⇒ 23+273.16 = 296.16 K
  • T₂ = Boiling point of water = 100 °C ⇒ 100+273.16 = 373.16 K
  • P₂ = ?

We put the known data in the equation and solve for P₂:

  • 1.11 atm * 373.16 K = P₂ * 296.16 K
  • P₂ = 1.40 atm

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