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 $d)80.43$ Horsepower second

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Answer 1 · 2018-05-10T14:48:25

$"(a) and (d)"$

a)
$=> 3.6 × 10^4\ "W s"$

$=> 36 × 10^3\ "W s"$

$=> 36\ "kW s"$

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

$=> color(red)(129600\ "kWh")$

$color(white)(...)——————————$

b)

$=> 6 × 10^6\ ?$

No units. Can’t say

$color(white)(...)——————————$

c)

$=> 1.34\ "Horse power hour"$

$=> 1.34 cancel"Horse power" × "745.7 Watt"/(1 cancel"Horse power")\ "hour"$

$=> 999.28\ "Watt hour"$

$=>\ color(blue)("Approximately 1 kWh")$

$color(white)(...)——————————$

d)
$=> 80.43\ "Horse power second"$

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

$=> 16.66\ "Watt hour"$

$=>\ color(red)("0.0166 kWh")$

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