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BITSAT2017PhysicsKinetic Theory of GasesActual

A balloon is filled at 27 ° C and 1 atm pressure by 500 m 3 He . At - 3 ° C and 0 . 5 atm pressure, the volume of He will be

Options

  1. A700   m 3
  2. B900   m 3
  3. C1000   m 3
  4. D500   m 3

Correct answer

B. 900   m 3

Step-by-step solution

We have, P 1 V 1 T 1 = P 2 V 2 T 2 or V 2 = P 1 V 1 T 2 P 2 T 1 = 1 × 500 × 273 - 3 0 . 5 × 273 + 27 = 1 × 500 × 270 0 . 5 × 300 V 2 = 900   m 3

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