Q. molar mass of \( \mathrm{HNO_3} \).

Answer

Molar mass of nitric acid, \( \text{HNO}_3 \).

Count atoms: \(1\) H, \(1\) N, \(3\) O.

Using atomic masses: \( \text{H} = 1.01\), \( \text{N} = 14.01\), \( \text{O} = 16.00\).

\[
\text{Molar mass} = 1(1.01) + 1(14.01) + 3(16.00) = 63.02\ \text{g/mol}
\]

Final result: \(63.02\ \text{g/mol}\).

Detailed Explanation

To find the molar mass of \( \mathrm{HNO_3} \), add the atomic masses of all atoms in one molecule.

Step 1: Identify the elements and their counts

\( \mathrm{HNO_3} \) contains:

  • \(1\) atom of hydrogen, \( \mathrm{H} \)
  • \(1\) atom of nitrogen, \( \mathrm{N} \)
  • \(3\) atoms of oxygen, \( \mathrm{O} \)

Step 2: Write the molar mass sum

Using atomic masses (in \( \mathrm{g/mol} \)):

  • \( \mathrm{H} \approx 1.01\)
  • \( \mathrm{N} \approx 14.01\)
  • \( \mathrm{O} \approx 16.00\)

Now add them according to the subscripts in \( \mathrm{HNO_3} \):

\[
M(\mathrm{HNO_3}) = 1(1.01) + 1(14.01) + 3(16.00)
\]

Step 3: Calculate each part

\[
1(1.01) = 1.01
\]
\[
1(14.01) = 14.01
\]
\[
3(16.00) = 48.00
\]

Step 4: Add everything

\[
M(\mathrm{HNO_3}) = 1.01 + 14.01 + 48.00 = 63.02
\]

Final Answer

The molar mass of \( \mathrm{HNO_3} \) is \( \boxed{63.02\ \mathrm{g/mol}} \).

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General Chemistry FAQs

How do I calculate the molar mass of \(\mathrm{HNO_3}\)?

Add atomic masses: \(1(\mathrm{H}) + 14(\mathrm{N}) + 3(16)(\mathrm{O}) = 1 + 14 + 48 = 63\ \mathrm{g/mol}\).

What is the molar mass of \(\mathrm{HNO_3}\) using common atomic weights?

Using \( \mathrm{H}=1.01,\ \mathrm{N}=14.01,\ \mathrm{O}=16.00\): \(1.01 + 14.01 + 3(16.00)=63.02\ \mathrm{g/mol}\).

What are the molar masses of each element in \(\mathrm{HNO_3}\)?

\(\mathrm{H}\approx 1.01\ \mathrm{g/mol}\), \(\mathrm{N}\approx 14.01\ \mathrm{g/mol}\), \(\mathrm{O}\approx 16.00\ \mathrm{g/mol}\) (then multiply by the subscripts).

Why does \(\mathrm{O}\) contribute \(3 \times 16\) to the molar mass of \(\mathrm{HNO_3}\)?

Because there are 3 oxygen atoms in the formula \(\mathrm{HNO_3}\). Each oxygen has atomic mass \(\approx 16.00\ \mathrm{g/mol}\), so total oxygen mass is \(3\times16.00\).

How many grams of \(\mathrm{HNO_3}\) are in 1 mole?

By definition, 1 mole has mass equal to the molar mass. So \(1\ \mathrm{mol\ HNO_3}\approx 63.02\ \mathrm{g}\).

What is the molar mass of \(\mathrm{HNO_3}\) in kilograms per mole?

Convert units: \(63.02\ \mathrm{g/mol} = 0.06302\ \mathrm{kg/mol}\).
Molar mass of HNO₃, solved!
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