Energy Output - Energy Input [tex]$=$[/tex] Energy Efficiency

Energy Efficiency [tex]$\times 100 = $[/tex] Energy Efficiency [tex]$\%$[/tex]

Energy Output [tex]$= 25$[/tex] units

Energy Input [tex]$= 100$[/tex] units

What is the energy efficiency of the system?

[tex]\[ \text{Energy Efficiency} = \frac{\text{Energy Output}}{\text{Energy Input}} \times 100 \][/tex]

[tex]\[ \text{Energy Efficiency} = \frac{25}{100} \times 100 \% \][/tex]

[tex]\[ \text{Energy Efficiency} = 25\% \][/tex]



Answer :

Let's solve this step-by-step.

1. Identify the given values:
- Energy Output: 25 units
- Energy Input: 100 units

2. Calculate the Energy Efficiency:
Energy Efficiency is calculated by dividing the Energy Output by the Energy Input.

[tex]\[ \text{Energy Efficiency} = \frac{\text{Energy Output}}{\text{Energy Input}} \][/tex]

Substituting the given values:

[tex]\[ \text{Energy Efficiency} = \frac{25}{100} \][/tex]

Simplifying this fraction:

[tex]\[ \text{Energy Efficiency} = 0.25 \][/tex]

3. Convert the Energy Efficiency to a percentage:
Energy Efficiency percentage is found by multiplying the Energy Efficiency by 100.

[tex]\[ \text{Energy Efficiency} \% = \text{Energy Efficiency} \times 100 \][/tex]

Substituting the calculated Energy Efficiency:

[tex]\[ \text{Energy Efficiency} \% = 0.25 \times 100 \][/tex]

Simplifying this:

[tex]\[ \text{Energy Efficiency} \% = 25.0\% \][/tex]

So, the energy efficiency of the system is:
- Energy Efficiency: 0.25 (or 25%)
- Energy Efficiency Percentage: 25.0%

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