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Two glass bulbs X and Y are connected by a very small tube having a stop-cock. Bulb X has a volume of 100 c m 3 and contained the gas; while bulb Y was empty. On opening the stop-cock, the pressure fell down to 60%. The volume of the bulb Y must be

Options

  1. A132.32 c m 3
  2. B124 c m 3
  3. C66.66 c m 3
  4. D150 c m 3

Correct answer

C. 66.66 c m 3

Step-by-step solution

P 1 = 1 atm P 2 = 1 atm × 60 100 = 0.60 atm V 1 = 100 c m 3 V 2 = ? At constant temperature, P 1 V 1 = P 2 V 2 So V 2 = P 1 V 1 P 2 - 1 atm × 100 c m 3 0.60 atm = 166.66 c m 3 Hence, the volume of bulb Y = ( 166.66 - 100 ) c m 3 = 66.66 c m 3

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