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AP EAMCET202119 Aug 2021Morning ShiftPhysicsKinetic Theory of GasesActual

A balloon contains 1500 m 3 of He at 27 ° C and 4 atmospheric pressure. the volume of He at - 3 ° C temperature and 2 atmospheric pressure will be

Options

  1. A1500   m 3
  2. B1700   m 3
  3. C1900   m 3
  4. D2700   m 3

Correct answer

D. 2700   m 3

Step-by-step solution

The quantity of gas is same in both situations, therefore using the ideal gas equation, P V = n R T   here, n   is the number of moles of gas and R   is the universal gas constant. when pressure is P 1 = 4   atm and temperature is T 1 = 27 ° C = 300   K   then volume is V 1 = 1500     m 3 ⇒ P 1 V 1 T 1 = P 2 V 2 T 2 ⇒ 1500 × 4 300 = V 2 × 2 270 ⇒ V 2 = 2700   m 3

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