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viktelen [127]
3 years ago
11

A sample of 4.50 g of diatomic oxygen (O2) occupies a volume of 15.0 L at a temperature of 203 K and a pressure of 5.0 atm. What

will be the volume of the same sample if the pressure increases to 15.0 atm and the temperature is raised to 303 K?
Chemistry
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

V = 0.23 Lt

Explanation:

Data: O₂ 4.50 g = 0.14 mol (considering a molecular mass of 32 g for O₂)

V₁ = 15.0 Lt , T₁ = 203 K , P₁ = 5.0 atm

V₂ = ? , T₂ = 303 K , P₂ = 15.0 atm

If we consider that this gas beahves as an ideal gas, then:

PV = nRT

V = nRT/P

V₂ = nRT₂/P₂ , where R gas constant = 0.082 Lt*atm/K*mol

V₂ = (0.14x0.082x303)/15.0 ⇒ V₂ = 0.23 Lt

Which is consistent, considering that the gas is subjected to a high pressure (from 5 atm to 15 atm), its volume should decrease (from 15 Lt to 0.23 Lt)

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Explanation:

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The mole ratio of Hydrogen to Oxygen is 2:1

Therefore;

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Mass = 13.790 moles × 32 g/mol

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Mass of hydrogen + mass of oxygen = Mass of water

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Mass of oxygen = Mass of water - mass of hydrogen

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<h3>                           = 441.4 g </h3>
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