Question

A particular electric car is supplied with 300 kJ of chemical energy by the battery. Of this, a total of 70.5 kJ of energy is wasted as heat.
Calculate the overall efficiency of the electric car.

Answer 1

Supplied energy=300kJ

• Wasted energy=70.5J

Used energy:-

$\\ \sf\longmapsto 300-70.5=229.5kJ$

We know

$\boxed{\sf Efficiency=\dfrac{Used\:Energy}{Supplied\:Energy}\times 100}$

$\\ \sf\longmapsto Efficiency=\dfrac{229.5}{300}\times 100$

$\\ \sf\longmapsto Efficiency=\dfrac{229.5}{3}$

$\\ \sf\longmapsto Efficiency=76.5\%$

Answer 2

The overall efficiency of the electric car = 76.5 %

To find the efficiency the given values are:

Energy supplied = 300 kJ

Energy wasted = 70.5 kJ

Define efficiency and calculate the value of efficiency.

      In the system the output energy is compared to the input energy is known as efficiency. That can be written as percentage ratio of output energy to the input energy.

Formula of efficiency is,

             Efficiency = ( E out / E in ) × 100

Here, Energy supplied = 300 kJ

so, energy used = Energy supplied - Energy wasted

                           = 300 - 70.5

                           =  229.5 kJ

Thus, substituting E out = 300 kJ , E in = 229.5 kJ

            Efficiency = ( 229.5 / 300 ) ×100

                             = 229.5 / 3

                             = 76.5

Hence, The overall efficiency of the electric car is 76.5 %

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