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NEET 2023 · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from NEET 2023

Q45NEET 2023Medium

Gas Laws & Ideal Gas Equation

A container of volume 200 cm3200\text{ cm}^{3} contains 0.2 mole of hydrogen gas and 0.3 mole of argon gas. The pressure of the system at temperature 200 K200\text{ K} (R=8.3 J K−1 mol−1R = 8.3\text{ J K}^{-1}\text{ mol}^{-1}) will be :-

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Answer: (d)

  1. Dalton's law: total moles n=0.2+0.3=0.5n = 0.2 + 0.3 = 0.5; V=200V = 200 cm3=2×10−4^3 = 2 \times 10^{-4} m3^3.
  2. P=nRTV=0.5×8.3×2002×10−4=8302×10−4P = \dfrac{nRT}{V} = \dfrac{0.5 \times 8.3 \times 200}{2 \times 10^{-4}} = \dfrac{830}{2 \times 10^{-4}}
  3. P=4.15×106P = 4.15 \times 10^6 Pa
  4. So the answer is (d) 4.15×1064.15 \times 10^{6} Pa.
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