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States of Matter
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07/09/2021 10:48 am
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For a real gas (mol. mass = 60) if density at critical point is 0.80 g/cm3 and its Tc = \(\frac{4 \times 10^5}{821}\)K then van der waals’ constant a (in atm L2 mol-2) is
(a) 0.3375
(b) 3.375
(c) 1.68
(d) 0.025
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07/09/2021 10:57 am
Correct answer: (b) 3.375
Explanation:
\(V_c\) = \(\frac{60}{0.80}\) = 75 cm3 mol-1
b = \(\frac{V_c}{3}\) = 25 cm3 mol-1
= 0.25 L mol-1
∴ Tc = \(\frac{8a}{27 Rb}\)
= \(\frac{4 \times 10^5}{821}\) = \(\frac{2.45}{0.425}\)
= 5.76 gL-1
⇒ a = 3.375