Question

Find the volume of 56 g dinitrogen at STP.

• A. 11.2 Lit.
• B. 22.4 Lit.
• C. 44.8 Lit.
• D. 67.2 Lit.

Hint:

Do not get confused by the term "dinitrogen". It is simply the formal IUPAC name for standard nitrogen gas ($N_2$), emphasizing its diatomic nature so you use 28 g/mol instead of 14 g/mol.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
According to Avogadro's law, one mole of any ideal gas occupies a fixed volume of 22.4 Liters at Standard Temperature and Pressure (STP).

Step 2: Formula Application:
First, find the number of moles ($n$): $n = \frac{\text{Given Mass}}{\text{Molar Mass}}$. Then, Volume $= n \times 22.4 \text{ L/mol}$.

Step 3: Explanation:
Dinitrogen is $N_2$. Its molar mass is $2 \times 14 = 28$ g/mol. Number of moles $n = \frac{56 \text{ g}}{28 \text{ g/mol}} = 2$ moles. Volume at STP $= 2 \times 22.4 \text{ L} = 44.8$ L.

Step 4: Final Answer:
The volume at STP is 44.8 Lit.