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Question: Answered & Verified by Expert
If two moles of an ideal gas at $546 \mathrm{~K}$ occupy a volume of $44.8 \mathrm{~L}$. What is the pressure of ideal gas at $546 \mathrm{~K} ?\left(\mathrm{R}=0 \cdot 0821 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$
ChemistryStates of MatterMHT CETMHT CET 2020 (12 Oct Shift 2)
Options:
  • A 20 atm
  • B $0 \cdot 2$ atm
  • C $0 \cdot 5$ atm
  • D $2 \cdot 0$ atm
Solution:
1462 Upvotes Verified Answer
The correct answer is: $2 \cdot 0$ atm
$\mathrm{n}=2 \mathrm{~mol}, \mathrm{~T}=546 \mathrm{~K}, \mathrm{~V}=44.8 \mathrm{~L}, \mathrm{R}=0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}, \mathrm{P}=?$
According to ideal gas equation,
$\mathrm{PV}=\mathrm{n} \mathrm{R} \mathrm{T}$
$\therefore P=\frac{n R T}{V}=\frac{2 \times 0.0821 \times 546}{44.8}=2.0 \mathrm{~atm}$

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