Which of the following is the correct set of volume calculated by ideal gas equation and van der waals" equation respectively for 1 mol of CO 2 gas at 300 K and 10 atm pressure. (R=0.0821 L atm K -1 mol -1)

Question

Which of the following is the correct set of volume calculated by ideal gas equation and van der waals" equation respectively for 1 mol of CO 2 gas at 300 K and 10 atm pressure. (R=0.0821 L atm K -1 mol -1) (A) 2.463 L , 2.56 L (B) 2.463 L , 2.38 L (C) 2.463 L , 2.463 L (D) 2.463 L , 2.5 L

Tardigrade Admin · Accepted Answer

V I =(n R T/P) =(1 × 0.0821 × 300/10)=2.463 L For CO 2, at 10 atm . Z < 1 ⇒ (VR/V I ) < 1 ⇒ V R < V I

Q. Which of the following is the correct set of volume calculated by ideal gas equation and van der waals" equation respectively for $1 m o l$ of $C O_{2}$ gas at $300 K$ and 10 atm pressure. $(R = 0.0821 L a t m K^{- 1} m o l^{- 1})$

2.463 L , 2.56 L

2.463 L , 2.38 L

2.463 L , 2.463 L

2.463 L , 2.5 L

$V_{I} = \frac{n RT}{P}$

$= \frac{1 \times 0.0821 \times 300}{10} = 2.463 L$

For $C O_{2},$ at $10 a t m .$

$Z < 1$

$\Rightarrow \frac{V _{R}}{V _{I}} < 1$

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

Q. Which of the following is the correct set of volume calculated by ideal gas equation and van der waals" equation respectively for 1mol of CO2​ gas at 300K and 10 atm pressure. (R=0.0821LatmK−1mol−1)