Answer to Question #151728 in General Chemistry for Jv

Question #151728
when molten magnesium oxide was electrolyzed for a certain period, 150 mg of Mg was deposited on the cathode. the volume of oxygen gas in cybic centimeter at STP conditions liberated at the anode during the same period is
1
Expert's answer
2020-12-18T08:41:49-0500

Solution:


At Cathode Mg+2+2e      Mg-Mg^{+2}+2e^ - \;\implies Mg

At Anode 2O2      O2  +4e-2O^{2-}\implies\;O_2\;+4e^-


Overall reaction:

Mg+2+2O2      2Mg+O2Mg^{+2}+2O^{2-}\implies\;2Mg+O_2


So, according to the reaction:


Since 2 moles of Mg releases 1 mole of O2 gas.


0.1524  moles=0.1548  moles  of  O2  gas=0.154822.4L=0.07L\dfrac{0.15}{24} \;moles= \dfrac{0.15}{48}\;moles\;of\;O_2\;gas= \dfrac{0.15}{48} *22.4L=0.07L


Answer:


0.07L  =70mm3  of  O2  gas  at  STP  .0.07L\;=70mm^3\; of \;O_2\;gas\;at\;STP\;.


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