This process can be expressed with the following equation:
"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)=\\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(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(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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