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The relation between pressure P and volume V is given by P V 1 4 = constant. If the percentage decrease in volume is 1 4 , then the approximate percentage increase in pressure is

Options

  1. A1 16
  2. B1 4
  3. C1 8
  4. D1 2

Correct answer

A. 1 16

Step-by-step solution

P V 1 4 = C o n s t a n t % decreases in volume = 1 4 d v v × 1 00 = 1 4 Now, P V 1 4 = a log ⁡ P + 1 4 log ⁡ v = log ⁡ a d p p + 1 4 d v v = 0 100 × d P P + 1 4 d V V × 100 = 0 d P P × 100 = - 1 4 d V V × 100 = 1 4 × 1 4 = 1 16

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