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AP EAMCET · Chemistry · States of Matter

An ideal gas \((\mathrm{X})\) present in a vessel of volume \(\mathrm{V} \mathrm{L}\) exerted a pressure of \(16.4 \mathrm{~atm}\) at \(200 \mathrm{~K}\). What is its concentration in \(\mathrm{mol} \mathrm{L}^{-1}\) ?
(Given \(\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\) )

  1. A 0.5
  2. B 0.25
  3. C 1
  4. D 1.5
Verified Solution

Answer & Solution

Correct Answer

(C) 1

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \text { } \mathrm{PV}=\mathrm{nRT} \Rightarrow \mathrm{P}=\frac{\mathrm{nRT}}{\mathrm{V}}=\mathrm{CRT} \\ & \Rightarrow \mathrm{C}=\frac{\mathrm{P}}{\mathrm{RT}}=\frac{16.4}{0.082 \times 200}=1.00 \mathrm{M}\end{aligned}\)