Question

The figure below shows a comparison of \"paper\" based supercapacitors. Legends refer to electrode materials. The blue star corresponds to devices with PEDOT:PSS/Cellulose nanofibrils (CNF) electrodes. 101 PEDOT/Nanopaper 100 Energy Density (mWh/cm3) PEDOT/Cellulose PANI/Paper This work ref. 21 ref. 28 ref. 29 ref. 23 10-1 Ppy/Nanocellulose 10-3 10-2 10-1 100 101 102 103 Power Density (W/cm3) For this graph, the units of the energy density indicate that it can be calculated as follows: Energy density = t \times CvV2/2, where Cv is the specific capacitance, e.g. Cv(F/cm2) = C/A or Cv(F/kg) = C/m, etc., V is the operating voltage, and t is time in units of hour (h). a. The specific volumetric capacitance of a 9 \textmu{}m-thick PEDOT:PSS/CNF electrode is 2.9 F/cm3. Calculate the operating voltage if t = 6 min. b. Calculate the specific volumetric capacitance of the PEDOT/Nanopaper electrode under the same operating conditions used to evaluate the PEDOT:PSS/CNF electrode.

          The figure below shows a comparison of \"paper\" based supercapacitors. Legends refer to electrode materials. The blue star corresponds to devices with PEDOT:PSS/Cellulose nanofibrils (CNF) electrodes.

10<sup>1</sup>
PEDOT/Nanopaper
10<sup>0</sup>
Energy Density (mWh/cm<sup>3</sup>)
PEDOT/Cellulose
PANI/Paper
This work
ref. 21
ref. 28
ref. 29
ref. 23
10<sup>-1</sup>
Ppy/Nanocellulose
10<sup>-3</sup> 10<sup>-2</sup> 10<sup>-1</sup> 10<sup>0</sup> 10<sup>1</sup> 10<sup>2</sup> 10<sup>3</sup>
Power Density (W/cm<sup>3</sup>)
For this graph, the units of the energy density indicate that it can be calculated as follows: Energy density = t \times C<sub>v</sub>V<sup>2</sup>/2, where C<sub>v</sub> is the specific capacitance, e.g. C<sub>v</sub>(F/cm<sup>2</sup>) = C/A or C<sub>v</sub>(F/kg) = C/m, etc., V is the operating voltage, and t is time in units of hour (h).
a. The specific volumetric capacitance of a 9 \textmu{}m-thick PEDOT:PSS/CNF electrode is 2.9 F/cm<sup>3</sup>. Calculate the operating voltage if t = 6 min.
b. Calculate the specific volumetric capacitance of the PEDOT/Nanopaper electrode under the same operating conditions used to evaluate the PEDOT:PSS/CNF electrode.

The figure below shows a comparison of p̈aperb̈ased supercapacitors. Legends refer to electrode materials. The blue star corresponds to devices with PEDOT:PSS/Cellulose nanofibrils (CNF) electrodes.

10<sup>1</sup>
PEDOT/Nanopaper
10<sup>0</sup>
Energy Density (mWh/cm<sup>3</sup>)
PEDOT/Cellulose
PANI/Paper
This work
ref. 21
ref. 28
ref. 29
ref. 23
10<sup>-1</sup>
Ppy/Nanocellulose
10<sup>-3</sup> 10<sup>-2</sup> 10<sup>-1</sup> 10<sup>0</sup> 10<sup>1</sup> 10<sup>2</sup> 10<sup>3</sup>
Power Density (W/cm<sup>3</sup>)
For this graph, the units of the energy density indicate that it can be calculated as follows: Energy density = t ×C<sub>v</sub>V<sup>2</sup>/2, where C<sub>v</sub> is the specific capacitance, e.g. C<sub>v</sub>(F/cm<sup>2</sup>) = C/A or C<sub>v</sub>(F/kg) = C/m, etc., V is the operating voltage, and t is time in units of hour (h).
a. The specific volumetric capacitance of a 9 µm-thick PEDOT:PSS/CNF electrode is 2.9 F/cm<sup>3</sup>. Calculate the operating voltage if t = 6 min.
b. Calculate the specific volumetric capacitance of the PEDOT/Nanopaper electrode under the same operating conditions used to evaluate the PEDOT:PSS/CNF electrode.

Added by Alexander G.

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