Answer:
36.37% is the percent yield of the reaction.
Explanation:
![4NH_3(aq)+3O_2(g)\rightarrow 2N_2(g)+6H_2O(l)](https://tex.z-dn.net/?f=4NH_3%28aq%29%2B3O_2%28g%29%5Crightarrow%202N_2%28g%29%2B6H_2O%28l%29)
1)0.650 L nitrogen gas , at 295 K and 1.01 bar.
Let the moles of nitrogen gas be n.
Pressure of the gas ,P= 1.01 bar = 0.9967 atm (1 bar = 0.9869 atm)
Temperature of the gas = T = 295 K
Volume of the gas = V = 0.650 L
Using an ideal gas equation:
![PV=nRT](https://tex.z-dn.net/?f=PV%3DnRT)
![n=\frac{PV}{RT}=\frac{0.9967 atm\times 0.650 L}{0.0821 atm L/mol K\times 295 K}=0.0267 mol](https://tex.z-dn.net/?f=n%3D%5Cfrac%7BPV%7D%7BRT%7D%3D%5Cfrac%7B0.9967%20atm%5Ctimes%200.650%20L%7D%7B0.0821%20atm%20L%2Fmol%20K%5Ctimes%20295%20K%7D%3D0.0267%20mol)
2) Moles of ammonia gas=![\frac{2.53 g}{17 g/mol}=0.1488 mol](https://tex.z-dn.net/?f=%5Cfrac%7B2.53%20g%7D%7B17%20g%2Fmol%7D%3D0.1488%20mol)
Moles of oxygen gas =![\frac{3.53 g}{32 g/mol}=0.1101 mol](https://tex.z-dn.net/?f=%5Cfrac%7B3.53%20g%7D%7B32%20g%2Fmol%7D%3D0.1101%20mol)
According to reaction ,3 mol of oxygen reacts with 4 mol of ammonia.
Then,0.1101 mol of oxygen will react with:
of ammonia.
Hence, oxygen gas is in limiting amount and act as limiting reagent.
3) Theoretical yield of nitrogen gas :
According to reaction, 3 mol of oxygen gas gives 2 moles of nitrogen gas.
Then 0.1101 mol of oxygen will give:
of nitrogen.
Theoretical yield of nitrogen gas = 0.0734 mol
Experimental yield of nitrogen as calculated in part (1) = 0.0267 mol
Percentage yield:
![\frac{\text{Experiential yield}}{\text{Theoretical yield}}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BExperiential%20yield%7D%7D%7B%5Ctext%7BTheoretical%20yield%7D%7D%5Ctimes%20100)
Percentage yield of the reaction:
![\frac{ 0.0267 mol}{0.0734 mol}\times 100=36.37\%](https://tex.z-dn.net/?f=%5Cfrac%7B%200.0267%20mol%7D%7B0.0734%20mol%7D%5Ctimes%20100%3D36.37%5C%25)
36.37% is the percent yield of the reaction.