Question $5.$

An Electric Vehicle Battery Pack has a strucutre of $37$ S $3$ P$.$

Each Li$-$ion battery has a nominal voltage of $3\mathrm{.}7V$ and $40Ah.$

a$)$ What is the total volatge of the battery pack?

Write your answer, in $V,$ to $1$ decimal place.

b$)$ What is the energy of the battery pack?

Write your answer, in $kWh,$ to $1$ decimal place.

c$)$ What is the time to fully charge the battery pack if it is charged at $73kW?$

Write your answer, in min, to the nearest integer.

d$)$ If the vehcile drives $36km,$ and consumes $1kWh$ per $4km,$ what is the SOC?

Write your answer, as a percentage, to the nearest integer.