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The Van der Waals' equation of state for a gas is given by,represent the pressure, volume V and temperature respectively, and a and b are constant parameters. At the critical point, where all the roots of the above cubic equation are degenerate, the volume is given by-
  • a)
  • b)
    3b
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The Van der Waals equation of state for a gas is given by,represent th...
Here, the Van der Waals' equation of state for a gas is given as,

At critical point (T = TC)

Now, from equation (2), first derivative of the equation (1) is given as,

Now, from equation (2), first derivative of the equation (1) is given as,

From equation (3), second derivation of equation (1) is zero.

Dividing equation (4) by equation (5),
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The Van der Waals equation of state for a gas is given by,represent the pressure, volumeVand temperature respectively, andaandbare constant parameters. At the critical point, where all the roots of the above cubic equation are degenerate, the volume is given by-a)b)3bc)d)Correct answer is option 'B'. Can you explain this answer?
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The Van der Waals equation of state for a gas is given by,represent the pressure, volumeVand temperature respectively, andaandbare constant parameters. At the critical point, where all the roots of the above cubic equation are degenerate, the volume is given by-a)b)3bc)d)Correct answer is option 'B'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about The Van der Waals equation of state for a gas is given by,represent the pressure, volumeVand temperature respectively, andaandbare constant parameters. At the critical point, where all the roots of the above cubic equation are degenerate, the volume is given by-a)b)3bc)d)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Van der Waals equation of state for a gas is given by,represent the pressure, volumeVand temperature respectively, andaandbare constant parameters. At the critical point, where all the roots of the above cubic equation are degenerate, the volume is given by-a)b)3bc)d)Correct answer is option 'B'. Can you explain this answer?.
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