The pressure of an oxygen containing cylinder is 10.3atm.Under same temperature, another oxygen cylinder having 1/3rd volume and has a pressure 1.1 atm Keeping the temperature same, two cylinders are connected, find the total pressure of the system
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Volume of oxygen, V1= 30 litres =30×10−3m3
Gauge pressure, P1= 15 atm =15×1.013×105Pa
Temperature, T1=27oC=300K
Universal gas constant, R=8.314Jmol−1K−1
Let the initial number of moles of oxygen gas in the cylinder be n1 .
The gas equation is given as:
P1V1=n1RT1
∴n1=P1V1/RT1
=(15.195×105×30×10−3)/(8.314×300)=18.276
But n1=m1/M
Where,
m1= Initial mass of oxygen
M = Molecular mass of oxygen = 32 g
∴m1=N1M=18.276×32=584.84g
After some oxygen is withdrawn from the cylinder, the pressure and temperature reduces.
Volume, V2= 30 litres =
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