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JEE Main 2022 (29 Jun, Shift 2) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from JEE Main 2022 (29 Jun, Shift 2)

Q53JEE Main 2022 · 29 JUN · SHIFT 2Medium

Gas Laws & Ideal Gas Equation

A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is:

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Answer: (c)

  1. Moles: nH2=162=8n_{H_2} = \frac{16}{2} = 8, nO2=12832=4n_{O_2} = \frac{128}{32} = 4, total n=12n = 12.
  2. At STP 1 mol occupies 22.4 L=22400 cm322.4\text{ L} = 22400\text{ cm}^3.
  3. V=12×22400=2.69×105 cm3≈27×104 cm3V = 12 \times 22400 = 2.69 \times 10^5\text{ cm}^3 \approx 27 \times 10^4\text{ cm}^3.
  4. So the answer is (c) 27×10427 \times 10^4.
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