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Mechanical Properties Of Fluids

Question
CBSEENPH11026294

A balloon contains 500 m3 of helium at 27o C and 1 atmosphere pressure. The volume of the helium at - 3° C temperature and 0.5 atmosphere pressure will be

  • 1000 m3

  • 900 m3

  • 700 m3

  • 500 m3

Solution

B.

900 m3

According to Boyle's law

   V ∝ TP

The volume of a given amount of gas is proportional to the ratio of its Kelvin temperature and its pressure

   PVT = C

As the temperature goes up and vice versa.

    P1 V1T1 = P2V2T2etc   

Using gas equation law

         P1 V1T1 = P2 V2T2

⇒   1 × 500300 = 0.5 × V2270

⇒    V2 = 900 m3