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Two closed bulbs of equal volume (V) containing an ideal gas initially at pressure p i and temperature T 1 are connected through a narrow tube negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to T 2 . The final pressure p f

Options

  1. A2 p i T 1 T 2 T 1 + T 2
  2. Bp i T 1 T 2 T 1 + T 2
  3. C2 p i T 1 T 1 + T 2
  4. D2 p i T 2 T 1 + T 2

Correct answer

D. 2 p i T 2 T 1 + T 2

Step-by-step solution

Initial moles and final moles are equal n T i = n T f P 1 V R T 1 + P 1 V R T 1 = P f V R T 1 + P f V R T 2 2 P i T 1 = P f T 1 + P f T 2 P f = 2 P i T 2 T 1 + T 2

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