Q.

For one mole of a van der Waals' gas when b = 0 and T = 300 K, the pV vs 1V plot is shown below. The value of the van der Waals' constant a (atm L mol-2)

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a

1.0

b

4.5

c

1.5

d

3.0

answer is C.

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Detailed Solution

van der Waals' equation of state isp+n2aV2(V-nb)=nRTFor one mole and b = 0 the above equation condenses top+aV2V=RT⇒pV=RT-aV----------(i)Eq. (i) is a straight line equation between pV and 1V whose slope is -aEquating with slope of the straight line given in the graph-a=20.1-2163-2=-1.5⇒a = 1.5
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