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

Asked in JEE Main 29th June 2nd Shift 2022 · Ideal gas equation and mixtures

• (1) 72 × 10⁵
• (2) 32 × 10⁵
• (3) 27 × 10⁴
• (4) 54 × 10⁴

Step-by-step solution

Why the other options are wrong

• (1) The 72 is (144)/2, the total mass divided by hydrogen's molar mass; that is not the mole count of a mixture.
• (2) Carries an extra factor of ten from converting litres to cm³.
• (4) 54×10⁴ is twice the answer, from using atomic masses 1 and 16 instead of the molecular 2 and 32, which gives 24 mol.

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