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Type the correct answer in the box. Your answer can be given as a decimal or in scientific notation. Express your answer to three significant figures. A pressure cooker contains 5. 68 liters of air at a temperature of 394 K. If the absolute pressure of the air in the pressure cooker is 205 pascals, how many moles of air are in the cooker? The cooker contains moles of air.

Respuesta :

The air in the pressure cooker is assumed to be ideal in nature. The moles of air in the cooker is [tex]\rm \bold{3.5\;\times\;10^{-4}\;mol}[/tex].

What is an ideal gas equation?

The ideal gas has the absence of interatomic interactions, and the collisions are contributed with the collisions with walls.

The ideal gas equation is given as:

[tex]PV=nRT[/tex]

The air in the pressure cooker has:

  • The pressure of the air, [tex]P=0.205\;\rm kPa[/tex]
  • The temperature of the air, [tex]T=394 \;\rm K[/tex]
  • The volume of the air, [tex]V=5.68 \;\rm L[/tex]
  • The gas constant for the ideal gas is, [tex]R=8.314\;\rm L.kPa/K.mol[/tex]

Substituting the values for the moles of air, n:

[tex]\rm 0.205\;kPa\;\times\;5.68\;L=\textit n\;\times\;8.314\;L.kPa/K.mol\;\times\;394\;K\\\textit n=\dfrac{0.205\;\times\;5.68}{8.314\;\times\;394}\;mol\\ \textit n=3.5\;\times\;10^{-4}\;mol[/tex]

The moles of air in the pressure cooker is [tex]\rm \bold{3.5\;\times\;10^{-4}\;mol}[/tex].

Learn more about ideal gas, here:

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