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Question

Consider the composite system, which is held at 300K, shown in the following figure. Assuming ideal gas behavior, calculate the total pressure if the barriers separating the compartments are removed. Assume that the volume of the barriers is negligible. (Given : R=0.082atmL/mol.K)


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A
1atm
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B
2atm
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C
2.3atm
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D
3.2atm
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Solution

The correct option is B 2atm
The number of moles of He,Ne and Xe is given by,
nHe=PVRT=3RT;nNe=PVRT=10RT;nXe=PVRT=1RT
n=nHe+nNe+nXe=(3+10+1)RT
The total pressure is given by,
P=(nHe+nNe+nXe)RTV
Ptotal=(3+10+1)RT×RT7=2atm.

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