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Calculate the mass in 3 mols of NH4OH and calculate the mass in 4.2 moles of Ca(NO3)2.

Chemistry

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  1. Calculate the mass in 3 moles of NH4OH\text{NH}_4\text{OH}
  1. Identify the atomic masses of each element.

    • Nitrogen (N): 14.01 g/mol14.01 \, \text{g/mol}
    • Hydrogen (H): 1.01 g/mol1.01 \, \text{g/mol}
    • Oxygen (O): 16.00 g/mol16.00 \, \text{g/mol}
  2. Calculate the molar mass of NH4OH\text{NH}_4\text{OH}.

    The formula indicates 1 N atom, 5 H atoms (4 from $\text{NH}_4$ and 1 from OH), and 1 O atom.
    $$
    \text{Molar mass of NH}_4\text{OH} = (1 \times \text{N}) + (5 \times \text{H}) + (1 \times \text{O})
    $$
    $$
    \text{Molar mass} = (1 \times 14.01 \, \text{g/mol}) + (5 \times 1.01 \, \text{g/mol}) + (1 \times 16.00 \, \text{g/mol})
    $$
    $$
    \text{Molar mass} = 14.01 \, \text{g/mol} + 5.05 \, \text{g/mol} + 16.00 \, \text{g/mol}
    $$
    $$
    \text{Molar mass} = 35.06 \, \text{g/mol}
    $$
    
  3. Calculate the mass using the number of moles and molar mass.

    The formula for mass ($m$) is:
    $$
    m = \text{moles (n)} \times \text{molar mass (M)}
    $$
    $$
    m = 3 \, \text{mol} \times 35.06 \, \text{g/mol}
    $$
    $$
    m = 105.18 \, \text{g}
    $$
    The mass in 3 moles of $\text{NH}_4\text{OH}$ is $\boxed{\text{105.18 g}}$.
    

    4. Calculate the mass in 4.2 moles of Ca(NO3)2\text{Ca(NO}_3)_2

  4. Identify the atomic masses of each element.

    • Calcium (Ca): 40.08 g/mol40.08 \, \text{g/mol}
    • Nitrogen (N): 14.01 g/mol14.01 \, \text{g/mol}
    • Oxygen (O): 16.00 g/mol16.00 \, \text{g/mol}
  5. Calculate the molar mass of Ca(NO3)2\text{Ca(NO}_3)_2.

    The formula indicates 1 Ca atom, 2 N atoms (from $2 \times \text{NO}_3$), and 6 O atoms (from $2 \times 3 \text{ O}$).
    $$
    \text{Molar mass of Ca(NO}_3)_2 = (1 \times \text{Ca}) + (2 \times \text{N}) + (6 \times \text{O})
    $$
    $$
    \text{Molar mass} = (1 \times 40.08 \, \text{g/mol}) + (2 \times 14.01 \, \text{g/mol}) + (6 \times 16.00 \, \text{g/mol})
    $$
    $$
    \text{Molar mass} = 40.08 \, \text{g/mol} + 28.02 \, \text{g/mol} + 96.00 \, \text{g/mol}
    $$
    $$
    \text{Molar mass} = 164.10 \, \text{g/mol}
    $$
    
  6. Calculate the mass using the number of moles and molar mass.

    $$
    m = \text{moles (n)} \times \text{molar mass (M)}
    $$
    $$
    m = 4.2 \, \text{mol} \times 164.10 \, \text{g/mol}
    $$
    $$
    m = 689.22 \, \text{g}
    $$
    The mass in 4.2 moles of $\text{Ca(NO}_3)_2$ is $\boxed{\text{689.22 g}}$.
    
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