The percentage yield of the reaction : 25%
Further explanation
C₂H₃NaO₂(CH₃COONa)- Sodium ethanoate(MW=82,0343 g/mol)
Reaction
CH₃COONa + NaOH⇒CH₄+Na₂CO₃
mol CH₃COONa :
![\tt (8.2)/(82.0343)=0.1](https://img.qammunity.org/2021/formulas/chemistry/high-school/uvkcp1u5zp1dbw9il040k3hyd7522zwro4.png)
mol CH₄=mol CH₃COONa = 0.1
mass CH₄ (MW=16.04 g/mol) :
⇒ theoretical
mol of 560 cm³(0.56 L) of methane (⇒1 mol = 22.4 L at STP) :
![\tt (0.56)/(22.4)=0.025~mol](https://img.qammunity.org/2021/formulas/chemistry/high-school/k757muqq32po0p4hqfigmdptq58k32hl12.png)
mass CH₄ :
![\tt 0.025* 16.04=0.401~g](https://img.qammunity.org/2021/formulas/chemistry/high-school/vaoltnxtvi3sdni7xkld0hhboosjc0bok1.png)
![\tt \%yield=(0.401)/(1.604)* 100\%=25\%](https://img.qammunity.org/2021/formulas/chemistry/high-school/a4zvrdu9vy22l2ylzm04sefrdmu3u9tzc8.png)