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Monotonically Increasing Functions

Calculate fro...

Question

Calculate from the van der Waal's equation, the temperature (in K) at which $102$ g of $S O_{2}$ would occupy a volume of $10 d m^{3}$ at $15$ atm pressure. ( Answer = [T], where [.] is greatest integer function)
[ $a = 6.7 a t m L^{2} m o l^{2}, b = 0.0564 L m o l^{- 1}$ ]

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Solution

As given,
$(15 + \frac{9 \times 6.7}{10^{2}}) (10 - 3 \times 0.0564) = 3 \times 0.0821 \times T$
$\Rightarrow T = 623.5 K$ $\Rightarrow T = {350.5}^{\circ} C$
Answer $= [623.5] = 623 K .$

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