Answer:
[tex]Y=75\%[/tex]
Explanation:
Hello,
In this case, since the aluminum sulfite, whose molar mass is 294.153 g/mol, is in a 1:2 molar ratio with aluminum hydroxide, whose molar mass is 78 g/mol, we can perform the following stoichiometric procedure to compute the theoretical yield of aluminum hydroxide to furtherly compute the percent yield:
[tex]m_{Al(OH)_3}=17.2gAl_2(SO_3)_3*\frac{1molAl_2(SO_3)_3}{294.153gAl_2(SO_3)_3} *\frac{2molAl(OH)_3}{1molAl_2(SO_3)_3} *\frac{78gAl(OH)_3}{1molAl(OH)_3} \\\\m_{Al(OH)_3}=9.12gAl(OH)_3[/tex]
So we compute the percent yield considering the actual yield is 6.83 g:
[tex]Y=\frac{m^{actual}}{m^{theoretical}} *100\%=\frac{6.83g}{9.12g} *100\%\\\\Y=75\%[/tex]
Regards.