Answer to Question #87074 in General Chemistry for matt

Question #87074
Calculate the volume in dm3 of oxygen evolved at s.t.p when a current of 5A is passed through acidified water for 198seconds. 1F = 96500C; Molar volume of gas = 22.4dm3]
1
Expert's answer
2019-03-27T04:36:01-0400

Anode:

2H2O(l)O2(g)+4H+(aq)+4e2H_2O(l) \rightarrow O_2(g) + 4H^+(aq) + 4e^-

Cathode:

2×(2H++2eH2)2 \times (2H^+ + 2e^- \rightarrow H_2)

Calculate the moles of electrons when a current of 5A is passed through acidified water for 198seconds:


n=I×tF=5A×198s96500Cmol=0.0103molen = \frac{I\times t}{F} = \frac{5 A \times 198 s}{96500 \frac{C}{mol}} = 0.0103 mol e^-

Calculate the moles of O2:

0.0103mole(1molO24mole)=0.00256mol0.0103 mol e^- (\frac{1 mol O_2}{4 mol e^-}) = 0.00256 mol

Calculate vollume of O2:

V=Vm×n=22.4dm3mol×0.00256mol=0.0575dm3V = V_m \times n = 22.4 \frac{dm^3}{mol}\times 0.00256 mol = 0.0575 dm^3

Answer: 0.0575dm30.0575 dm^3


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