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Q.

For a real gas critical pressure is 75 $a t m$ and van der Waal's constant 'b' is 40 milli litres per mole. If critical temperature of gas is $T K$ . Calculate value of $(\frac{T}{100})$ $[Use R = 0.08 Latm {mol}^{- 1} K^{- 1}]$

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Detailed Solution

$\begin{array}{l} P_{C} = 75 = \frac{a}{27 b^{2}} \\ V_{C} = 3 b = 0.12 L / mol \\ T = T_{C} = \frac{8 a}{27 R b} \Rightarrow \frac{P_{C}}{T_{C}} = \frac{25}{T} = \frac{\frac{a}{27 b^{2}}}{\frac{8 a}{27 R b^{2}}} \end{array}$

$\Rightarrow T = 300 K$

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For a real gas critical pressure is 75 atm and van der Waal's constant 'b' is 40 milli litres per mole. If critical temperature of gas is TK. Calculate value of T100 Use R=0.08Latmmol−1K−1 ]