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QNEET-2013-Ph-1579: NEET 2013 Physics - Class 11 NEET-2013-Ph-1579 Solution: In a vessel the gas is at pressure P. If the mass of all the…

In a vessel the gas is at pressure P. If the mass of all the molecules is halved and their speed is doubled then the resultant pressure will be 2P P P/2 4P

Multiple Choice Options

  • A 2P
  • B P
  • C P/2
  • D 4P

Step-by-Step Verified Solution

As P = 1 3 m N V v r m s 2    ...(i) where m is the mass of each molecule, N is the total number of molecules, V is the volume of the gas. When mass of all the molecules is halved and their speed is doubled, then the pressure will be P _ = 1 3 ( m 2 ) _ N V _ ( 2 v r m s ) 2 = 2 3 m N V v r m s 2 = 2 P    (Using (i))

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