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Determine the mass of hydrogen in a 2.5 sample of ammonia
show work using dimensional analysis

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Answer:

[tex]\large \boxed{\text{0.44 g}}[/tex]  

Explanation:

1. Calculate the molar mass of ammonia

1  N = 1 × 14.01    g = 14.01    g

3 H = 3 ×  1.008 g =  3.024     

                   TOTAL = 17.03   g

2. Calculate the mass of hydrogen

So, there are 3.024 g of H in17.03 g of NH₃.

The conversion factor is either

[tex]\dfrac{\text{3.024 g H}}{\text{17.03 g NH}_{3}} \text{ or } \dfrac{\text{17.03 g NH}_{3}}{\text{3.024 g H}}[/tex]

We want to find grams of H, so we choose the one with grams of H on top.

[tex]\text{Mass of H} = \text{2.5 g NH}_{3} \times \dfrac{\text{3.024 g H}}{\text{17.03 g NH}_{3}} = \textbf{0.44 g H}\\\\\text{The mass of H is $\large \boxed{\textbf{0.44 g}}$}[/tex]

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