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Question: Answered & Verified by Expert
At $300 \mathrm{~K}$, the compressibility factor of 1 mole of a gas is 1.1. Its pressure is $2.706 \mathrm{~atm}$. What is its volume in $\mathrm{L}$ ? $\left(\right.$ Given $\left.\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$.
ChemistryStates of MatterAP EAMCETAP EAMCET 2023 (16 May Shift 2)
Options:
  • A $1$
  • B $10$
  • C $100$
  • D $0.1$
Solution:
2000 Upvotes Verified Answer
The correct answer is: $10$
$\begin{aligned} & Z=\frac{P V}{R T} \Rightarrow V=\frac{Z R T}{P}=\frac{(1.1)(0.082)(300)}{2.706} \\ & =10 L\end{aligned}$

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