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Question

If a real gas is following equation P(V−nb)=nRT, at low pressure then find the intercept and slope of graph between dpv/sP.


A
MRT,M(RT)2b
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B
MRT,Mb(RT)2
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C
MbRT,M(RT)2
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D
RTM,bM(RT)2
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Solution

The correct option is B MRT,Mb(RT)2
P(VwMb)=wMRT
P[1dbM]=dRTM
P[Mdb]=dRT
dP=MRT×dbRT(1)
dP=y,P=x,d=yx
y=MRTbRT(yx)
y[1+bxRT]=MRT(2)
For y-intercept, x=0
y=MRT(3)
For slope, dydx=MRT⎜ ⎜ ⎜ ⎜ ⎜1(1+bxRT)2⎟ ⎟ ⎟ ⎟ ⎟(bRT)
At low pressure, P=0x=0
Slope=dydx=Mb(RT)2

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