Chapter 1, Problem 1P

To determine

Find the value of total energy (in gigawatt hours) stored in Country U’s passenger vehicles.

Answer to Problem 1P

The value of total energy stored in Country U’s passenger vehicle is $140.4\text{GWh}$.

Explanation of Solution

Given data:

The number of passengers vehicles $\left(N\right)$ registered in Country U is 260 million.

The storage of battery $\left(w\right)$ in average vehicle is $540\text{Wh}$.

Calculation:

The total energy stored in Country U’s passenger vehicle is calculated as follows,

$w_{total}=N\times w$ (1)

Here,

$N$ is the number of passenger vehicles, and

$w$ is the average energy stored in vehicle.

Substitute $540\text{Wh}$ for $w$, and $260\text{million}$ for $N$ in equation (1) to find $w_{total}$.

$\begin{array}{c}{w}_{total}=\left(260\text{million}\right)\left(540\text{Wh}\right)\\ =\left(260\times {10}^6\right)\left(540\text{Wh}\right)\left\{\because 1\text{million}={10}^6\right\}\\ =1.404\times {10}^{11}\text{Wh}\\ =1.404\times {10}^{11}\times {10}^{-9}\times {10}^9\text{Wh}\end{array}$

Simplify the above equation to find $w_{total}$.

$\begin{array}{c}{w}_{total}=140.4\times {10}^9\text{Wh}\\ \text{=}140.4\text{GWh}\left\{\because 1\text{G}={10}^9\right\}\end{array}$

Conclusion:

Thus, the value of total energy stored in Country U’s passenger vehicle is $140.4\text{GWh}$.