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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 $C O_{2}$ gas at 300 K and 10 atm pressure. (R = 0.0821 L atm $K^{- 1} {mol}^{- 1})$

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2.463 L, 2.56 L

2.463 L, 2.463 L

2.463 L, 2.38 L

2.463 L, 2.5 L

answer is B.

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Detailed Solution

$V_{1} = \frac{nRT}{p} = \frac{1 \times 0.0821 \times 300}{10} = 2.463 L For {CO}_{2}, at 10 atm Z < 1 \Rightarrow \frac{V_{R}}{V_{1}} < 1 \Rightarrow V_{R} < V_{1}$

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