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Question

A sample of air is saturated with benzene (vapour pressure =100mmHgat298K)at298K,750mmHgpressure. If it is isothermally compressed to one-third of its initial volume, the final pressure of the system is:


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Solution

Step 1: Formula for total pressure:

  • The total pressure = vapor pressure of benzene + pressure of air.
  • The pressure of air =750100=650mmofHg.

Step 2: Pressure after compression:

  • The mixture is compressed to one-third of its volume.
  • Now, Since, PV1.
  • So, the pressure of the air after compression,

Pf=650×3mmofHg=1950mmofHg

Step 3: Final pressure calculation:

  • The final total pressure

PT=(1950+100)=2050mmofHg=2050torr

  • Therefore, 1mmofHg1torr
  • The total pressure is equal to the vapor pressure of benzene and the pressure of air.

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