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Which of the following is the correct set of volume calculated by ideal gas equation and van der Waals equation respectively for 1 mole CO₂ gas at 300 K and 10 atm pressure. $(R = 0.0821 {LatmKK}^{- 1} {mol}^{- 1})$

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$2.463 L, 2.56 L$

$2.463 L, 2.38 L$

$2.463 L, 2.463 L$

$2.463 L, 2.5 L$

answer is B.

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Detailed Solution

$V_{I} = \frac{nRT}{P} = \frac{1 \times 0.0821 \times 300}{10} = 2.463 L$

For CO₂at 10 atm, Z<1

$\Rightarrow \frac{V_{R}}{V_{I}} < 1 \Rightarrow V_{R} < V_{I}$

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