Ether, (C2H5)2O, which was originally used as an anesthetic but has been replaced by safer and more effective medications, is prepared by the reaction of ethanol with sulfuric acid.What is the percent yield of ether if 1.17 L (d = 0.7134 g/mL) is isolated from the reaction of 1.500 L of C2H5OH (d = 0.7894 g/mL)? 2 C2H5OH + H2SO4 → (C2H5)2O + H2SO4 · H2O

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Answer:

87.64% is the percent yield of ether.

Explanation:

[tex]C_2H_5OH + H_2SO_4\rightarrow (C_2H_5)_2O + H_2SO_4.H_2O[/tex]

Volume of an ether,v= 1.17 L = 1170 mL

Experimental mass of an ether = m

Density of an ether ,d= 0.7134 g/mL

[tex]m=d\times v=0.7134 g/mL\times 1170 mL=834.6780 g[/tex]

Experimental yield of an ether = 834.678 g

Volume of an alcohol = V = 1.500 L = 1500 mL

Mass of an alcohol = M

Density of an alcohol ,D= 0.7894 g/mL

[tex]M=D\times V=0.7894 g/mL\times 1500 mL=1,184.1 g[/tex]

Moles of an alcohol = [tex]\frac{1,184.1 g}{46 g/mol}=25.74 mol[/tex]

According to recatiopn 2 moles of an alcohol gives 1 mole of an ether.

Then 25.74 moles of alcohol will give:

[tex]\frac{1}{2}\times 25.74 mol=12.87 mol[/tex] of an ether.

Mass of 12.87 moles of an ether = 12.87 mol  =74 g/mol = 952.38 g

Theoretical yield of the an ether = 952.38 g

[tex]\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100[/tex]

[tex]\%\text{ yield}=\frac{834.678 g}{952.38 g}\times 100=87.64\%[/tex]

87.64% is the percent yield of ether.

The percent yield of this reaction is 87%.

What is percent yield?

We define the percent yield as the ratio of the actual yield to the theoretical yield multiplied by 100.

Mass of ether  = 0.7134 g/mL * 1170 mL = 835 g

Mass of C2H5OH   = 0.7894 g/mL * 1500 mL = 1184 g

Number of moles of C2H5OH    = 1184 g/46 g/mol =26 moles

Since the reaction is 2:1, number of moles of ether produced =  13moles

Theoretical yield of ether = 13 moles * 74 g/mol = 962 g

Percent yield = 835 g/ 962 g   * 100/1 = 87%

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