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A sample of liquid H2O of mass 18.0 g is injected into an evacuated 7.6 L flask maintained at 27.0°C. If vapour pressure of H2O at 27°C is 24.63 mm Hg. What weight percentage of the water will be vaporized when the system comes to equilibrium? Assume water vapours behaves as an ideal gas. The volume occupied by the liquid water is negligible compared to the volume of the container:
  • a)
    1%
  • b)
    10%
  • c)
    18%
  • d)
    20%
Correct answer is option 'A'. Can you explain this answer?
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A sample of liquid H2O of mass 18.0 g is injected into an evacuated 7....
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A sample of liquid H2O of mass 18.0 g is injected into an evacuated 7....
Given information:
- Mass of liquid water injected = 18.0 g
- Volume of flask = 7.6 L
- Temperature of flask = 27.0°C
- Vapour pressure of water at 27°C = 24.63 mmHg

To find: Weight percentage of water vaporized at equilibrium

Assumptions:
- Water vapour behaves as an ideal gas
- Volume of liquid water is negligible compared to the volume of the container

Solution:

1. Calculate the number of moles of liquid water injected:
- The molar mass of water (H2O) = 18.02 g/mol
- Number of moles of water injected = mass of water injected / molar mass of water
= 18.0 g / 18.02 g/mol
= 0.999 mol

2. Calculate the pressure of water vapour at equilibrium:
- Since the flask is evacuated initially, the total pressure at equilibrium will be the vapour pressure of water (since no other gases are present)
- Convert the vapour pressure from mmHg to atm (using conversion factor 1 atm = 760 mmHg):
Vapour pressure of water at 27°C = 24.63 mmHg = 0.0324 atm

3. Use the ideal gas law to calculate the volume of water vapour at equilibrium:
- Ideal gas law: PV = nRT
- We know the pressure (P), temperature (T), and number of moles (n) of water vapour at equilibrium
- We need to find the volume (V) of water vapour at equilibrium
- Rearrange the ideal gas law to solve for V: V = nRT/P
- Substitute the values: V = (0.999 mol)(0.0821 L·atm/mol·K)(300.15 K)/(0.0324 atm)
- V = 23.6 L

4. Calculate the weight of water vapour at equilibrium:
- The density of water vapour at 27°C and 0.0324 atm is 0.000598 g/L (from water vapour density tables)
- Weight of water vapour at equilibrium = density of water vapour x volume of water vapour
= 0.000598 g/L x 23.6 L
= 0.0141 g

5. Calculate the weight percentage of water vaporized:
- Weight of water vaporized = initial weight of water injected - weight of water vapour at equilibrium
= 18.0 g - 0.0141 g
= 17.99 g
- Weight percentage of water vaporized = weight of water vaporized / initial weight of water injected x 100%
= 0.079% ≈ 1% (to one significant figure)

Therefore, the weight percentage of water vaporized when the system comes to equilibrium is approximately 1%.
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A sample of liquid H2O of mass 18.0 g is injected into an evacuated 7....
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A sample of liquid H2O of mass 18.0 g is injected into an evacuated 7.6 L flask maintained at 27.0°C. If vapour pressure of H2O at 27°C is 24.63 mm Hg. What weight percentage of the water will be vaporized when the system comes to equilibrium? Assume water vapours behaves as an ideal gas. The volume occupied by the liquid water is negligible compared to the volume of the container:a)1%b)10%c)18%d)20%Correct answer is option 'A'. Can you explain this answer?
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A sample of liquid H2O of mass 18.0 g is injected into an evacuated 7.6 L flask maintained at 27.0°C. If vapour pressure of H2O at 27°C is 24.63 mm Hg. What weight percentage of the water will be vaporized when the system comes to equilibrium? Assume water vapours behaves as an ideal gas. The volume occupied by the liquid water is negligible compared to the volume of the container:a)1%b)10%c)18%d)20%Correct answer is option 'A'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A sample of liquid H2O of mass 18.0 g is injected into an evacuated 7.6 L flask maintained at 27.0°C. If vapour pressure of H2O at 27°C is 24.63 mm Hg. What weight percentage of the water will be vaporized when the system comes to equilibrium? Assume water vapours behaves as an ideal gas. The volume occupied by the liquid water is negligible compared to the volume of the container:a)1%b)10%c)18%d)20%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sample of liquid H2O of mass 18.0 g is injected into an evacuated 7.6 L flask maintained at 27.0°C. If vapour pressure of H2O at 27°C is 24.63 mm Hg. What weight percentage of the water will be vaporized when the system comes to equilibrium? Assume water vapours behaves as an ideal gas. The volume occupied by the liquid water is negligible compared to the volume of the container:a)1%b)10%c)18%d)20%Correct answer is option 'A'. Can you explain this answer?.
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