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

1 Answer
May 10, 2018

#"(a) and (d)"#

Explanation:

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")#