Related Formula
Pdry gas = Ptotal - Aqueous tension$$P_{\text{dry gas}} = P_{\text{total}} - \text{Aqueous tension}$$
PV = nRT$PV = nRT$
% N = Mass of N₂Mass of organic compound × 100$$\% N = \frac{\text{Mass of } N_2}{\text{Mass of organic compound}} \times 100$$
Core Logic
Pressure of dry N₂$N_2$ gas:
PN₂ = (715 - 15) mm = 700 mm Hg = (700)/(760) atm$P_{N_2} = (715 - 15) \text{ mm} = 700 \text{ mm Hg} = \frac{700}{760} \text{ atm}$
Volume of N₂$N_2$ gas:
VN₂ = 70 mL = (70)/(1000) L$V_{N_2} = 70 \text{ mL} = \frac{70}{1000} \text{ L}$
Temperature:
T = 300 K$T = 300 \text{ K}$
Step 1: Calculate moles and mass of Nitrogen
Using Ideal Gas Law, nN₂ = (PV)/(RT)$n_{N_2} = \frac{PV}{RT}$:
nN₂ = (((700)/(760)) × ((70)/(1000)))/(0.0821 × 300)$$n_{N_2} = \frac{\left(\frac{700}{760}\right) \times \left(\frac{70}{1000}\right)}{0.0821 \times 300}$$
Mass of N₂$N_2$ (WN₂$W_{N_2}$) = nN₂ × 28$n_{N_2} \times 28$
WN₂ = (700)/(760) × (70/1000)/(0.0821 × 300) × 28 ≈ 0.07324 g$$W_{N_2} = \frac{700}{760} \times \frac{70/1000}{0.0821 \times 300} \times 28 \approx 0.07324 \text{ g}$$
Step 2: Calculate Percentage
% N = (0.07324)/(0.50) × 100 = 14.65 %$$\% N = \frac{0.07324}{0.50} \times 100 = 14.65 \%$$
Rounding to the nearest integer, it is 15 %$15 \%$.
Pattern Recognition
Always subtract aqueous tension from total pressure before plugging into the ideal gas law. Alternatively, convert volume to STP directly using (P₁V₁)/T₁ = (PSTPVSTP)/TSTP$(P_1V_1)/T_1 = (P_{STP}V_{STP})/T_{STP}$.
Chapter Mix
Class 11 Chemistry: Organic Chemistry - Some Basic Principles and Techniques