Question #98941
During the electrolysis of CU (2) tetraoxosulphate (6) solution using platinum electrode,0.816g of Cu was deposited on the cathode.calculate the volume of oxygen gas liberated at S.T.P
1
Expert's answer
2019-11-19T07:59:48-0500

This process can be expressed with the following equation:


2CuSO4+2H2O2Cu+2H2SO4+O2;2CuSO_4+2H_2O \rightarrow 2Cu \downarrow+2H_2SO_4+O_2 \uparrow;


Now, we have to found the amount of copper metal formed on the cathode in moles:


n(Cu)=m(Cu)M(Cu)=0.816g63.5g/mol=0.0129mol;n(Cu)=\frac{m(Cu)}{M(Cu)}=\frac{0.816g}{63.5g/mol}=0.0129mol;


According to the equation, the amount of oxygen formed in moles is half of that of the copper metal:


n(O2)=12n(Cu)=120.0129mol=6.45103mol;n(O_2)=\frac{1}{2}*n(Cu)=\frac{1}{2}*0.0129mol=6.45*10^{-3}mol;


Finally, the volume of the released oxygen under STP is:


V(O2)=n(O2)Vm=6.45103mol22.4L=0.144LV(O_2)=n(O_2)*V_m=6.45*10^{-3}mol*22.4L=0.144L or 144 mL;


Thus, it was 144 mL of oxygen released in the electrolysis.


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