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The "air" in the space suit of astronauts is actually pure oxygen supplied at a pressure of 0.30 bar. The two tanks on a space suit each have a volume of 3980. cm3 and have an initial pressure of 5860. kPa. Assuming a tank temperature of 16 C, what mass of oxygen is contained in the two tanks?

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Answer:

There are 310.7 grams of O₂ in each tank

Explanation:

To solve this problem we use PV=nRT. First we convert units:

  • 16°C ⇒ 16+273.16 = 289.16 K
  • 5860 kPa ⇒ 5860/101.325 = 57.83 atm
  • 3980 cm³ ⇒ 3980/1000 = 3.98 L

We put the data in the equation and solve for n:

  • 57.83 atm * 3.98 L = n * 0.082 atm·L·mol⁻¹·K⁻¹ * 289.16 K
  • n = 9.71 mol O₂

Finally we convert mol O₂ into mass:

  • 9.71 mol O₂ * 32g/mol = 310.7 g O₂

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