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States Of Matter

Question
CBSEENCH11005913

Two flasks A and B have equal to volumes. Flask A contains H2 and is maintained at 300K while the flask B contains an equal mass of CH4 gas and is maintained at 600K. Which flask contains a greater number of molecules ? How many times?

Solution

The number of molecules of a gas is proportional to the number of moles.
  Let the mass of each gas in the two flasks be =  mg
   Molecular mass of H2 = 2
    Molecular mass of CH4 =16
space space therefore space space space Number space of space moles space of space straight H subscript 2 space equals space straight m over 2
space space Number space of space moles space of space CH subscript 4 space equals space straight m over 16
Ratio space between space the space number space of space moles space of space straight H subscript 2 space and space CH subscript 4
space equals space straight m subscript 2 over 2 colon straight m over 16 space space or space space 16 colon 2 space or space space 8 colon 1.
Thus, the number of molecules of H2 in the flask. A will be eight times the number of molecules of CH4 in flask B.