If the slope of ' \( Z \) ' (compressibility. factor) vs. ' \( P \) ' curve is constant \( \left...

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If the slope of ' \( Z \) ' (compressibility. factor) vs. ' \( P \) ' curve is constant \( \left(\right. \) slope \( =\frac{\pi}{492.6} \) atm '1 \( ) \) at a particular temperature ( \( 300 \mathrm{~K}) \) and very high pressure, then calculate diameter of the molecules.
(Given : \( N_{A}=6.0 \times 10^{23}, R=0.0821 \mathrm{~atm} . \mathrm{L} \mathrm{mol}^{-1} \mathrm{~K}^{-1} \) )
(a) \( 7.5 \AA \)
(b) \( 5 \AA \)
(c) \( 2.5 \AA \)
(d) \( 1.25 \AA \)
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