What is the percent yield of sodium hydroxide in the given reaction? The reaction was performed using 45 g NaHCO3 and 18 g NaOH were produced. NaHCO3 → NaOH + CO2

Respuesta :

Answer:

The percent yield = 83.33 %

Explanation:

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

For [tex]NaHCO_3[/tex]  :-

Mass of water = 45 g

Molar mass of [tex]NaHCO_3[/tex]  = 84.007 g/mol

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]Moles= \frac{45\ g}{84.007\ g/mol}[/tex]

[tex]Moles\ of\ NaHCO_3= 0.54\ mol[/tex]

For [tex]NaOH[/tex]  :-

Given mass = 18 g

Molar mass of NaOH = 39.997 g/mol

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]Moles= \frac{18\ g}{39.997\ g/mol}[/tex]

[tex]Moles\ of\ NaOH= 0.45\ mol[/tex]

According to the given reaction:

[tex]NaHCO_3\rightarrow NaOH+CO_2[/tex]

1 mole of [tex]NaHCO_3[/tex]  on reaction forms 1 mole of [tex]NaOH[/tex]

Thus,

0.54 mole of [tex]NaHCO_3[/tex]  on reaction forms 0.54 mole of [tex]NaOH[/tex]

Moles of [tex]NaOH[/tex] formed = 0.54 moles

Moles of  [tex]NaOH[/tex] actually formed = 0.45 moles

The expression for the calculation of the percentage yield for a chemical reaction is shown below as:-

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

Given , Values from the question:-

Theoretical yield = 0.54 moles

Experimental yield = 0.45 moles

Applying the values in the above expression as:-

[tex]\%\ yield =\frac{0.45}{0.54}\times 100[/tex]

[tex]\%\ yield =83.33\ \%[/tex]

The percent yield = 83.33 %