The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h). The Capacity Factor of a power generation technology is:
\[
\text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000 \, (\text{h})}.
\]
Which one of the given technologies has the highest Capacity Factor?
\includegraphics[width=0.7\linewidth]{q8 CE.PNG}
\includegraphics[width=0.7\linewidth]{q8 CE.PNG}
Show Hint
- T1
- T2
- T3
- T4
The Correct Option is A
Solution and Explanation
The capacity factor is the ratio of actual electricity generation to the maximum possible electricity generation over a given time. Step 2: Extract data from the chart. From the chart: \begin{itemize} \item T1: Electricity Generation = 14,000 MWh, Installed Capacity = 20 MW. \item T2: Electricity Generation = 9,000 MWh, Installed Capacity = 25 MW. \item T3: Electricity Generation = 8,000 MWh, Installed Capacity = 30 MW. \item T4: Electricity Generation = 7,000 MWh, Installed Capacity = 35 MW. \end{itemize} Step 3: Calculate the Capacity Factor for each technology.
Using the formula: \[ \text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000}. \] \begin{itemize} \item T1: Capacity Factor = \(\frac{14,000}{20 \times 1000} = 0.7 \, \text{(or 70\%)}\). \item T2: Capacity Factor = \(\frac{9,000}{25 \times 1000} = 0.36 \, \text{(or 36\%)}\). \item T3: Capacity Factor = \(\frac{8,000}{30 \times 1000} = 0.267 \, \text{(or 26.7\%)}\). \item T4: Capacity Factor = \(\frac{7,000}{35 \times 1000} = 0.2 \, \text{(or 20\%)}\). \end{itemize} Step 4: Conclusion.
The highest Capacity Factor is for T1, which is 70\%.
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