# Which of the following does not equal 1 kwh;? a)3.6 *10^4 watt second b)6 * 10^6 c)1.34 Horsepower hour d)80.43Horsepower second

May 10, 2018

$\text{(a) and (d)}$

#### Explanation:

a)
=> 3.6 × 10^4\ "W s"

=> 36 × 10^3\ "W s"

$\implies 36 \setminus \text{kW s}$

=> 36\ "kW" × cancel"s" × "3600 hr"/(cancel"s") color(white)(...)[∵ 1 = "3600 hr"/"1 s"]

$\implies \textcolor{red}{129600 \setminus \text{kWh}}$

color(white)(...)——————————

b)

=> 6 × 10^6\ ?

No units. Can’t say

color(white)(...)——————————

c)

$\implies 1.34 \setminus \text{Horse power hour}$

$\implies 1.34 \cancel{\text{Horse power" × "745.7 Watt"/(1 cancel"Horse power")\ "hour}}$

$\implies 999.28 \setminus \text{Watt hour}$

$\implies \setminus \textcolor{b l u e}{\text{Approximately 1 kWh}}$

color(white)(...)——————————

d)
$\implies 80.43 \setminus \text{Horse power second}$

=> 80.43 cancel"Horse power" × "745.7 Watt"/(1 cancel"Horse power") × cancel"s" × "1 hr"/(3600 cancel"s")

$\implies 16.66 \setminus \text{Watt hour}$

$\implies \setminus \textcolor{red}{\text{0.0166 kWh}}$