   # One of the problems associated with electric vehicles is that most electricity is generated by fossil-fuel combustion; therefore, electric cars indirectly produce harmful emissions by using more electricity. This problem could be solved if electric cars were recharged using solar energy. Calculate how many square meters of solar PV cells are required to build a charging station for an electric car. Assume that the station must produce 5.0 kW of power so that an electric car can be charged in 4 to 6 hours. Assume also that solar energy is 1 .0 × 10 3 W/m 2 and that the PV cells are 18% efficient in converting solar energy to electrical power. ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 10, Problem 31E
Textbook Problem
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## One of the problems associated with electric vehicles is that most electricity is generated by fossil-fuel combustion; therefore, electric cars indirectly produce harmful emissions by using more electricity. This problem could be solved if electric cars were recharged using solar energy. Calculate how many square meters of solar PV cells are required to build a charging station for an electric car. Assume that the station must produce 5.0 kW of power so that an electric car can be charged in 4 to 6 hours. Assume also that solar energy is 1 .0 × 10 3 W/m2 and that the PV cells are 18% efficient in converting solar energy to electrical power.

Interpretation Introduction

Interpretation:

The area of the PV cell required to build a charging station is to be calculated.

Concept Introduction:

Power input on a PV cell is the total active area of the PV cell multiplied by the solar power.

The percent of the input power that is converted into output power by a PV cell is called its efficiency.

Percent efficiency of a PV cell is 100 multiplied by the ratio of power out and power in.

The expression is as follows:

Percent efficiency=Power outPower in×100 …… (1)

### Explanation of Solution

Given information:

The power output required is 5 kW or 5000 W.

The solar energy is 1.0 ×103 W/m2or 1000 W/m2.

The efficiency of the PV cell is 18 %.

Consider the area of the PV cell to be A m2.

Calculate the power input by multiplying the area with solar energy as follows:

Power input=(A m2×1000 Wm2

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