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The maximum work done in expanding 16 g oxygen at 300 K and occupying a volume of 5 dm3 isothermally until the volume become 25dm3 is:    
  • a)
    2.01 x 103 J    
  • b)
    +2.81x103 J    
  • c)
    2.01x10-3 J    
  • d)
    +2.01 x 10-6 J
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The maximum work done in expanding 16 g oxygen at 300 K and occupying ...
- W = +2.30nRT log V2/V1
- W = +2.30 * 16/32 * 300 * 8.314 log 25/5
- W = 2.01 * 103J
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Most Upvoted Answer
The maximum work done in expanding 16 g oxygen at 300 K and occupying ...
To solve this problem, we need to use the equation for the work done in an isothermal expansion:

W = nRT ln(V₂/V₁)

where:
W = work done
n = number of moles
R = ideal gas constant
T = temperature in Kelvin
V₁ = initial volume
V₂ = final volume

Given:
n = mass/molar mass = 16g / 32 g/mol = 0.5 mol
R = 8.314 J/mol·K
T = 300 K
V₁ = 5 dm³ = 5 L
V₂ = 25 dm³ = 25 L

Substituting the values into the equation, we have:

W = (0.5 mol)(8.314 J/mol·K)(300 K) ln(25 L/5 L)
W = 0.5(8.314 J/mol·K)(300 K) ln(5)
W ≈ 2.01 x 10³ J

Therefore, the maximum work done in expanding 16 g oxygen at 300 K and occupying a volume of 5 dm³ isothermally until the volume becomes 25 dm³ is approximately 2.01 x 10³ J. Hence, option A is the correct answer.
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The maximum work done in expanding 16 g oxygen at 300 K and occupying a volume of 5 dm3 isothermally until the volume become 25dm3 is: a)2.01 x 103 J b)+2.81x103 J c)2.01x10-3 J d)+2.01 x 10-6 JCorrect answer is option 'A'. Can you explain this answer?
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The maximum work done in expanding 16 g oxygen at 300 K and occupying a volume of 5 dm3 isothermally until the volume become 25dm3 is: a)2.01 x 103 J b)+2.81x103 J c)2.01x10-3 J d)+2.01 x 10-6 JCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The maximum work done in expanding 16 g oxygen at 300 K and occupying a volume of 5 dm3 isothermally until the volume become 25dm3 is: a)2.01 x 103 J b)+2.81x103 J c)2.01x10-3 J d)+2.01 x 10-6 JCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum work done in expanding 16 g oxygen at 300 K and occupying a volume of 5 dm3 isothermally until the volume become 25dm3 is: a)2.01 x 103 J b)+2.81x103 J c)2.01x10-3 J d)+2.01 x 10-6 JCorrect answer is option 'A'. Can you explain this answer?.
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