Questions: How many moles of nitrogen are in (2.5 times 10^-2) mole of quinine? Express your answer using two significant figures. (nmathrmN=) (square) moles

How many moles of nitrogen are in (2.5 times 10^-2) mole of quinine?
Express your answer using two significant figures.
(nmathrmN=) (square) moles

Transcript text: How many moles of nitrogen are in $2.5 \times 10^{-2}$ mole of quinine? Express your answer using two significant figures. $n_{\mathrm{N}}=$ $\square$ moles

Solution

Solution Steps

Step 1: Determine the Chemical Formula of Quinine

Quinine is a compound with the chemical formula $\text{C}_{20}\text{H}_{24}\text{N}_2\text{O}_2$. This formula indicates that each molecule of quinine contains 2 nitrogen atoms.

Step 2: Calculate the Moles of Nitrogen Atoms

Given that there are $2.5 \times 10^{-2}$ moles of quinine, and each mole of quinine contains 2 moles of nitrogen atoms, we can calculate the total moles of nitrogen as follows:

\[ n_{\mathrm{N}} = 2 \times (2.5 \times 10^{-2}) = 5.0 \times 10^{-2} \text{ moles} \]