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Chapter 18: Q. 55 (page 513)

10,000cm3of 200掳Csteam at a pressure of 20atmis cooled until it condenses. What is the volume of liquid water? Give your answer in cm3.

Short Answer

Expert verified

The volume of the liquid water isV=92.73cm3

Step by step solution

01

Given information 

The volume of steamVs=10000cm3

The temperature of the steamTs=200+273=473K

PressureP=20atm

The number of molecules remains constant. Using the given data, the number of moles can be found and by substituting density, the volume of water can be found.

formula used:

Ideal gas law

PV=nRT

02

calculation

DescriptionSteps
Step:1 the number moles calculating

n=PVsRTs=(20atm)10000cm382.057cm3atmKmol-1n=5.152mol






Step:2 calculating the volume of water

mass=numberofmoles脳Molarmass


=5.152脳18=92.736gVolumeV=m/蚁=92.736gIggcm3V=92.736cm3

=5.152脳18=92.736gVolumeV=m/蚁=92.736gIg2/cm3V=92.736cm3



Hence V=92.736cm3represents the volume of water.

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