5 litre of N2 under a pressure of 2 atm, 2 litre of O2 at 5.5 atm and 3 litre of CO2 at 5 atm are mixed. The resultant volume of the mixture is 15 litre. Calculate the total pressure of the mixture and partial pressure of each constituent.
A
2.06 atm
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B
1.75 atm
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C
3.06 atm
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D
4.50 atm
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Solution
The correct option is A 2.06 atm
From the equation Pv=nRT for the two gases. We can write
nN2=5×2RT
nO2=2×5.5RT
nCO2=3×5RT
When introduced in 1L vessel, then
P×15L=(nN2+nO2+nCO2)RT
Putting the values, we get
P=2.06bar
Hence, the total pressure of the gaseous mixture in the vessel is 1.8 bar