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To find the mass of sulfur dioxide (SO₂) that contains the same number of molecules as 2 grams of ammonia (NH₃), you can use the concept of moles and the molar mass.

  1. **Find the number of moles of ammonia:**

    [ \text{Moles of NH₃} = \frac{\text{Mass of NH₃}}{\text{Molar mass of NH₃}} ]

    The molar mass of ammonia (NH₃) is approximately 17 grams/mol.

  2. **Use Avogadro's Number:**

    According to Avogadro's number, 1 mole of any substance contains the same number of entities (atoms, molecules, etc.), which is approximately (6.022 \times 10^{23}).

  3. **Find the number of molecules of ammonia:**

    [ \text{Number of NH₃ molecules} = \text{Moles of NH₃} \times (6.022 \times 10^{23}) ]

  4. **Convert to moles of sulfur dioxide:**

    Since the number of molecules is the same for both substances, the moles of sulfur dioxide (SO₂) would be the same as the moles of ammonia.

    [ \text{Moles of SO₂} = \text{Moles of NH₃} ]

  5. **Find the mass of sulfur dioxide:**

    [ \text{Mass of SO₂} = \text{Moles of SO₂} \times \text{Molar mass of SO₂} ]

    The molar mass of sulfur dioxide (SO₂) is approximately 64 grams/mol.

Now, you can substitute the values into the equations to find the mass of sulfur dioxide.

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anuragraj115

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1y ago

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