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NEETChemistrySome Basic Concepts of Chemistry

A sample of ammonium sulfate contains 2.4088 10²⁴ hydrogen atoms. The mass of this sample is : (Given : N_A = 6.022 10²³ mol ⁻¹ , Atomic masses in u : N = 14 , H = 1 , S = 32 , O = 16 )

Options

  1. A528 g
  2. B132 g
  3. C66 g
  4. D4 g

Correct answer

C. 66 g

Step-by-step solution

The chemical formula of ammonium sulfate is (NH₄)₂SO₄ . Molar mass of (NH₄)₂SO₄ = 2 (14 + 4) + 32 + 4 16 = 36 + 32 + 64 = 132 g mol ⁻¹ . Number of moles of hydrogen atoms = 2.4088 10²⁴ 6.022 10²³ = 4 mol. One molecule of (NH₄)₂SO₄ contains 8 hydrogen atoms. Therefore, 1 mole of ammonium sulfate contains 8 moles of hydrogen atoms. Number of moles of ammonium sulfate = 4 8 = 0.5 mol. Mass of the sample = 0.5 132 = 66 g. Answer: 66 g

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