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A body of mass 2 kg and cp=1.00 kJ/kgK is available at 600 K. If the atmosphere is 300 K and ln 2 = 0.693, the maximum work obtainable from the body till it comes to equilibrium with the atmosphere is
  • a)
    150 kJ
  • b)
    142 kJ
  • c)
    184.2 kJ
  • d)
    190.5 kJ
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A body of mass 2 kg and cp=1.00 kJ/kgK is available at 600 K. If the ...
Given Data:
- Mass of the body (m) = 2 kg
- Specific heat capacity (cp) = 1.00 kJ/kgK
- Initial temperature of the body (T1) = 600 K
- Temperature of the atmosphere (T2) = 300 K
- Natural logarithm of 2 (ln 2) = 0.693

Calculating the maximum work obtainable:
- The maximum work obtainable is given by the formula: Wmax = m * cp * (T1 - T2) * (1 - e^(-ln2))
- Substituting the given values into the formula:
Wmax = 2 * 1.00 * (600 - 300) * (1 - e^(-0.693))
Wmax = 2 * 1.00 * 300 * (1 - e^(-0.693))
Wmax = 600 * (1 - e^(-0.693))
Wmax = 600 * (1 - 0.5)
Wmax = 600 * 0.5
Wmax = 300 kJ
Therefore, the maximum work obtainable from the body till it comes to equilibrium with the atmosphere is 300 kJ. The correct option among the given choices is (c) 184.2 kJ.
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A body of mass 2 kg and cp=1.00 kJ/kgK is available at 600 K. If the atmosphere is 300 K and ln 2 = 0.693, the maximum work obtainable from the body till it comes to equilibrium with the atmosphere isa)150 kJb)142 kJc)184.2 kJd)190.5 kJCorrect answer is option 'C'. Can you explain this answer?
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A body of mass 2 kg and cp=1.00 kJ/kgK is available at 600 K. If the atmosphere is 300 K and ln 2 = 0.693, the maximum work obtainable from the body till it comes to equilibrium with the atmosphere isa)150 kJb)142 kJc)184.2 kJd)190.5 kJCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A body of mass 2 kg and cp=1.00 kJ/kgK is available at 600 K. If the atmosphere is 300 K and ln 2 = 0.693, the maximum work obtainable from the body till it comes to equilibrium with the atmosphere isa)150 kJb)142 kJc)184.2 kJd)190.5 kJCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body of mass 2 kg and cp=1.00 kJ/kgK is available at 600 K. If the atmosphere is 300 K and ln 2 = 0.693, the maximum work obtainable from the body till it comes to equilibrium with the atmosphere isa)150 kJb)142 kJc)184.2 kJd)190.5 kJCorrect answer is option 'C'. Can you explain this answer?.
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