Respuesta :
Answer: The percent yield of ethyl chloride is 83.03 %
Explanation:
To calculate the number of moles, we use the equation
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] ....(1)
- For ethane gas:
Given mass of ethane gas = 300 g
Molar mass of ethane gas = 30 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of ethane gas}=\frac{300g}{30g/mol}=10mol[/tex]
- For chlorine gas:
Given mass of chlorine gas = 650 g
Molar mass of chlorine gas = 71 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of chlorine gas}=\frac{650g}{71g/mol}=9.15mol[/tex]
For the given chemical equation:
[tex]C_2H_6(g)+Cl_2(g)\rightarrow C_2H_5Cl(s)+HCl(g)[/tex]
By Stoichiometry of the reaction:
1 mole of chlorine gas reacts with 1 moles of ethane gas.
So, 9.15 moles of chlorine gas will react with = [tex]\frac{1}{1}\times 9.15=9.15moles[/tex] of ethane gas.
As, given amount of ethane gas is more than the required amount. So, it is considered as an excess reagent.
Thus, chlorine gas is considered as a limiting reagent because it limits the formation of product.
By Stoichiometry of the reaction:
1 mole of chlorine gas produces 1 mole of ethyl chloride.
So, 9.15 moles of chlorine gas will produce = [tex]\frac{1}{1}\times 9.15=9.15moles[/tex] of ethyl chloride
Now, calculating the mass of ethyl chloride from equation 1, we get:
Molar mass of ethyl chloride = 64.5 g/mol
Moles of ethyl chloride = 9.15 moles
Putting values in equation 1, we get:
[tex]9.15mol=\frac{\text{Mass of ethyl chloride}}{64.5g/mol}\\\\\text{Mass of ethyl chloride}=590.175g[/tex]
To calculate the percent yield of ethyl chloride, we use the equation:
[tex]\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100[/tex]
Theoretical yield of ethyl chloride = 590.175 g
Experimental yield of ethyl chloride = 490 g
Putting values in above equation, we get:
[tex]\%\text{ yield of ethyl chloride}=\frac{490g}{590.175g}\times 100\\\\\%\text{ yield of ethyl chloride}=83.03\%[/tex]
Hence, the percent yield of ethyl chloride is 83.03 %
