Respuesta :

the percent of hydrogen by mass in HNO3 is 1.600%

Answer:

[tex]\boxed {\boxed {\sf 1.5996953 \%\ or \ 1.6 \%}}[/tex]

Explanation:

Percent composition tells us the mass percentage of an element in a compound. It can be found by dividing the mass of the element by the mass of the compound, then multiplying by 100.

[tex]\frac{element \ mass}{compound \ mass} *100[/tex]

1. Compound Mass

The compound given is HNO₃

  • Hydrogen (H) and Nitrogen (N) have no subscript, implying there is 1 atom of each element.
  • Oxygen (O) has a subscript of 3, so there are 3 atoms.

Use the Periodic Table to find the masses of each element.

  • Hydrogen: 1.008 u
  • Nitrogen: 14.007 u
  • Oxygen: 15.999 u

Next, multiply each element's mass by the number of atoms, then add them together.

  • (1.008 u) + (14.007 u) +  (3 * 15.999 u)
  • 63.012 u

2. Percent Composition

Now we know that HNO₃'s mass is 63.012 u. This is the compound mass.

We want to find the percent of hydrogen and its mass is 1.008 u. This is the element mass.

[tex]\frac{1.008 \ u }{63.012\ u } *100[/tex]

[tex]0.015996953*100[/tex]

[tex]1.5996953[/tex]

This can be rounded to the nearest tenth. The 9 in the hundredth place tells us to round the 5 to a 6.

[tex]\approx 1.6[/tex]

The percent of hydrogen in HNO₃ is 1.5996953% or about 1.6%