The percent yield of the reaction : 89.14%
<h3>Further explanation</h3>
Reaction of Ammonia and Oxygen in a lab :
<em>4 NH₃ (g) + 5 O₂ (g) ⇒ 4 NO(g)+ 6 H₂O(g)</em>
mass NH₃ = 80 g
mol NH₃ (MW=17 g/mol):
![\dfrac{80}{17}=4.706](https://tex.z-dn.net/?f=%5Cdfrac%7B80%7D%7B17%7D%3D4.706)
mass O₂ = 120 g
mol O₂(MW=32 g/mol) :
![\tt \dfrac{120}{32}=3.75](https://tex.z-dn.net/?f=%5Ctt%20%5Cdfrac%7B120%7D%7B32%7D%3D3.75)
Mol ratio of reactants(to find limiting reatants) :
![\tt \dfrac{4.706}{4}\div \dfrac{3.75}{5}=1.1765\div 0.75\rightarrow O_2~limiting~reactant(smaller~ratio)](https://tex.z-dn.net/?f=%5Ctt%20%5Cdfrac%7B4.706%7D%7B4%7D%5Cdiv%20%5Cdfrac%7B3.75%7D%7B5%7D%3D1.1765%5Cdiv%200.75%5Crightarrow%20O_2~limiting~reactant%28smaller~ratio%29)
mol of H₂O based on O₂ as limiting reactants :
mol H₂O :
![\tt \dfrac{6}{5}\times 3.75=4.5](https://tex.z-dn.net/?f=%5Ctt%20%5Cdfrac%7B6%7D%7B5%7D%5Ctimes%203.75%3D4.5)
mass H₂O :
4.5 x 18 g/mol = 81 g
The percent yield :
![\tt \%yield=\dfrac{actual}{theoretical}\times 100\%\\\\\%yield=\dfrac{72.2}{81}\times 100\%=89.14\%](https://tex.z-dn.net/?f=%5Ctt%20%5C%25yield%3D%5Cdfrac%7Bactual%7D%7Btheoretical%7D%5Ctimes%20100%5C%25%5C%5C%5C%5C%5C%25yield%3D%5Cdfrac%7B72.2%7D%7B81%7D%5Ctimes%20100%5C%25%3D89.14%5C%25)
Answer:
pH ![= 1.853](https://tex.z-dn.net/?f=%3D%201.853)
Explanation:
For every mole of hydrochloric acid, one mole of hydronium ion is required. Thus, in order to neutralize 0.014 moles of HCL, 0.014 moles of hydronium is required.
![[H_3O^+] = [HCl] = 0.014](https://tex.z-dn.net/?f=%5BH_3O%5E%2B%5D%20%3D%20%5BHCl%5D%20%3D%200.014)
pH ![= -log [H^+] = -log [H_3O^+]](https://tex.z-dn.net/?f=%3D%20-log%20%5BH%5E%2B%5D%20%3D%20-log%20%5BH_3O%5E%2B%5D)
Substituting the available values in above equation, we can say that the pH of the solution is equal to
![- log (0.014)](https://tex.z-dn.net/?f=-%20log%20%280.014%29)
pH ![= 1.853](https://tex.z-dn.net/?f=%3D%201.853)
pH of a
M HCL solution ![= 1.853](https://tex.z-dn.net/?f=%3D%201.853)
Answer:
![\large \boxed{109.17 \, ^{\circ}\text{C}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B109.17%20%5C%2C%20%5E%7B%5Ccirc%7D%5Ctext%7BC%7D%7D)
Explanation:
Data:
50/50 ethylene glycol (EG):water
V = 4.70 gal
ρ(EG) = 1.11 g/mL
ρ(water) = 0.988 g/mL
Calculations:
The formula for the boiling point elevation ΔTb is
![\Delta T_{b} = iK_{b}b](https://tex.z-dn.net/?f=%5CDelta%20T_%7Bb%7D%20%3D%20iK_%7Bb%7Db)
i is the van’t Hoff factor — the number of moles of particles you get from 1 mol of solute. For EG, i = 1.
1. Moles of EG
![\rm n = 0.50 \times \text{4.70 gal} \times \dfrac{\text{3.785 L}}{\text{1 gal}} \times \dfrac{\text{1000 mL}}{\text{1 L}} \times \dfrac{\text{1.11 g}}{\text{1 mL}} \times \dfrac{\text{1 mol}}{\text{62.07 g}} = \text{159 mol}](https://tex.z-dn.net/?f=%5Crm%20n%20%3D%200.50%20%5Ctimes%20%5Ctext%7B4.70%20gal%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B3.785%20L%7D%7D%7B%5Ctext%7B1%20%20gal%7D%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B1000%20mL%7D%7D%7B%5Ctext%7B1%20L%7D%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B1.11%20g%7D%7D%7B%5Ctext%7B1%20mL%7D%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B1%20mol%7D%7D%7B%5Ctext%7B62.07%20g%7D%7D%20%3D%20%5Ctext%7B159%20mol%7D)
2. Kilograms of water
![m = 0.50 \times \text{4.70 gal} \times \dfrac{\text{3.785 L}}{\text{1 gal}} \times \dfrac{\text{998 g}}{\text{1 L}} \times \dfrac{\text{1 kg}}{\text{1000 g}} = \text{8.88 kg}](https://tex.z-dn.net/?f=m%20%3D%200.50%20%5Ctimes%20%5Ctext%7B4.70%20gal%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B3.785%20L%7D%7D%7B%5Ctext%7B1%20%20gal%7D%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B998%20g%7D%7D%7B%5Ctext%7B1%20L%7D%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B1%20kg%7D%7D%7B%5Ctext%7B1000%20g%7D%7D%20%3D%20%5Ctext%7B8.88%20kg%7D)
3. Molal concentration of EG
![b = \dfrac{\text{159 mol}}{\text{8.88 kg}} = \text{17.9 mol/kg}](https://tex.z-dn.net/?f=b%20%3D%20%20%5Cdfrac%7B%5Ctext%7B159%20mol%7D%7D%7B%5Ctext%7B8.88%20kg%7D%7D%20%3D%20%5Ctext%7B17.9%20mol%2Fkg%7D)
4. Increase in boiling point
![\rm \Delta T_{b} = iK_{b}b = 1 \times 0.512 \, \, ^{\circ}\text{C} \cdot kg \cdot mol^{-1} \, \times 17.9 \cdot mol \cdot kg^{-1} = 9.17 \, ^{\circ}\text{C}](https://tex.z-dn.net/?f=%5Crm%20%5CDelta%20T_%7Bb%7D%20%3D%20iK_%7Bb%7Db%20%3D%201%20%5Ctimes%200.512%20%5C%2C%20%5C%2C%20%5E%7B%5Ccirc%7D%5Ctext%7BC%7D%20%5Ccdot%20kg%20%5Ccdot%20mol%5E%7B-1%7D%20%5C%2C%20%5Ctimes%2017.9%20%5Ccdot%20mol%20%5Ccdot%20kg%5E%7B-1%7D%20%3D%209.17%20%5C%2C%20%5E%7B%5Ccirc%7D%5Ctext%7BC%7D)
5. Boiling point