7. Calculate the gravimetric capacitance of a carbon-based electrode with an aqueous electrolyte solution. Assume the surface area of the carbon electrode is 1200 m²/g, and the relative static permittivity of the aqueous electrolyte solution is 80. The permittivity of free space is 8.85 × 10-¹² F/m. Indicate any other assumptions you have to make.

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7. Calculate the gravimetric capacitance of a carbon-based electrode with an aqueous electrolyte
solution. Assume the surface area of the carbon electrode is 1200 m?/g, and the relative static
permittivity of the aqueous electrolyte solution is 80. The permittivity of free space is 8.85 x 10 12
F/m. Indicate any other assumptions you have to make.
|
8. In a typical single-cell double-layer capacitor there will be two carbon-based electrodes as
described in part 2a. The total capacitance of a single-cell double-layer capacitor, C can be
calculated by 1/C = (1/C, +1/C2). If each electrode weighs 50 g, (total weight of capacitor,100g)
calculate the capacitance of a single-cell double-layer capacitor consisting of electrodes described
in part 2a.
9. The maximum stored energy of a capacitor is equal to W=0.5C(U²), where C is the capacitance
and U is the electric potential difference. Assuming a voltage of 1.0 V, calculate the maximum
stored energy in the capacitor described in parts 2a and 2b above in the units of W-hrs.
Transcribed Image Text:7. Calculate the gravimetric capacitance of a carbon-based electrode with an aqueous electrolyte solution. Assume the surface area of the carbon electrode is 1200 m?/g, and the relative static permittivity of the aqueous electrolyte solution is 80. The permittivity of free space is 8.85 x 10 12 F/m. Indicate any other assumptions you have to make. | 8. In a typical single-cell double-layer capacitor there will be two carbon-based electrodes as described in part 2a. The total capacitance of a single-cell double-layer capacitor, C can be calculated by 1/C = (1/C, +1/C2). If each electrode weighs 50 g, (total weight of capacitor,100g) calculate the capacitance of a single-cell double-layer capacitor consisting of electrodes described in part 2a. 9. The maximum stored energy of a capacitor is equal to W=0.5C(U²), where C is the capacitance and U is the electric potential difference. Assuming a voltage of 1.0 V, calculate the maximum stored energy in the capacitor described in parts 2a and 2b above in the units of W-hrs.
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